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</div><h2>SL Paper 3</h2><div class="specification">
<p class="p1">This question is about the Doppler effect.</p>
<p class="p1">Georgia carries out an experiment to measure the speed of mosquitoes. She sets up a microphone to record the sounds of passing mosquitoes.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_15.22.46.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/03"></p>
<p class="p1">One mosquito is moving in a straight line with constant speed and passes very close to the microphone as seen in the diagram. The mosquito produces a sound of constant frequency.</p>
<p class="p1">The speed of sound in air is \({\text{340 m}}\,{{\text{s}}^{ - {\text{1}}}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The maximum frequency recorded is 751 Hz and the minimum frequency recorded is 749 Hz. Explain this observation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the speed of the mosquito.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the Doppler effect.</p>
</div>
<div class="specification">
<p class="p1">A child on a carousel (merry-go-round) moves with a speed of \({\text{6.5 m}}\,{{\text{s}}^{ - 1}}\) along a horizontal circular path ABCDA. A stationary observer is at a large distance from the carousel.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.34.17.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/02.b"></p>
<p class="p1">The child blows a whistle while moving from position B to position D. The whistle emits sound of frequency 850 Hz. The speed of sound in air is \({\text{330 m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe what is meant by the Doppler effect.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Determine the minimum frequency of the sound heard by the observer.</p>
<p class="p1">(ii) Describe the variation of the frequency of the sound heard by the observer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about interference.</p>
<p class="p1">Light from a laser is incident on two identical parallel slits. The light from the two slits produces a fringe pattern on a screen.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-12_om_05.46.22.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/19"></p>
<p class="p1">A central bright fringe is produced at C. The next bright fringe is produced at A. There is a dark fringe at B.</p>
</div>
<div class="specification">
<p class="p1">The light from the laser is coherent and monochromatic.</p>
</div>
<div class="specification">
<p class="p1">The distance from the two slits to the screen is 1.5 m. The distance BC is 1.8 mm and the distance between the slits is 0.30 mm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline what is meant by the term</p>
<p class="p1">(i) coherent.</p>
<p class="p1">(ii) monochromatic.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the phase difference between the light waves from the two slits that meet at B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Show that the laser produces light of wavelength equal to 720 nm.</p>
<p class="p1">(ii) State the path difference, in metres, between the waves that meet at B.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the number of lines per metre of the diffraction grating.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about diffraction and resolution.</p>
</div>
<div class="specification">
<p class="p1">A parallel beam of monochromatic light is incident on a narrow rectangular slit. After passing through the slit, the light is incident on a distant screen.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_13.06.01.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/A2.a"></p>
<p class="p1">Point X is the midpoint of the slit.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>On the axes below, sketch a graph to show how the intensity of the light on the screen varies with the angle \(\theta \) shown in the diagram.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_14.30.23.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/A2.a.i"></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The wavelength of the light is 520 nm, the width of the slit is 0.04 mm and the screen is 1.2 m from the slit. Show that the width of the central maximum of intensity on the screen is about 3 cm.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Points P and Q are on the circumference of a planet as shown.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_14.46.03.png" alt="N10/4/PHYSI/SP3/ENG/TZ0/A2.b"></p>
<p class="p1">By considering the two points, outline why diffraction limits the ability of an astronomical telescope to resolve the image of the planet as a disc.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about a diffraction grating.</p>
</div>
<div class="question">
<p class="p1">For a particular grating, the distance between adjacent slits is \(2.0 \times {10^{ - 6}}{\text{ m}}\). Determine, for light of wavelength 520 nm, the maximum theoretical order of diffraction.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Doppler effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by the Doppler effect as it relates to sound.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An ambulance is travelling at a speed of 28.0 ms<sup>–1</sup> along a straight road. Its siren emits a continuous sound of frequency 520 Hz. The ambulance is approaching a stationary observer. The observer measures the frequency of the note to be 566 Hz. Determine the speed of sound.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about radio telescopes.</p>
<p>A distant galaxy emits radio waves of frequency 6.0×10<sup>9</sup> Hz and is moving with speed 6.0×10<sup>6</sup> ms<sup>–1</sup> directly away from an observer on Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the wavelength of the radio wave as measured by the observer on Earth.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The radio signals from two stars on opposite sides of the galaxy are detected on Earth using a radio telescope. The telescope has a circular receiving dish.</p>
<p>(i) State the Rayleigh criterion for the images of two point sources to be just resolved.</p>
<p>(ii) The galaxy is 2.0×10<sup>21</sup>m from Earth and the stars are separated by 5.0×10<sup>19</sup>m. Determine the minimum size of the telescope dish required to resolve the images of the two stars at a wavelength of 5.1×10<sup>–2</sup>m.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about resolution and polarization.</p>
</div>
<div class="specification">
<p class="p1">A ship sails towards two stone towers built on land.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.38.34.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/03.b"></p>
<p class="p1">Emlyn, who is on the ship, views the towers. The pupils of Emlyn’s eyes are each of diameter 2.0 mm. The average wavelength of the sunlight is 550 nm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the Rayleigh criterion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the angular separation of the two towers when the images of the towers are just resolved by Emlyn.</p>
<p class="p1">(ii) Emlyn can just resolve the images of the two towers when his distance from the towers is 11 km. Determine the distance between the two towers.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Emlyn puts on a pair of polarizing sunglasses. Explain how these sunglasses reduce the intensity of the light, reflected from the sea, that enters Emlyn’s eyes.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Doppler effect.</p>
<p>The sound emitted by a car’s horn has frequency ƒ , as measured by the driver. An observer moves towards the stationary car at constant speed and measures the frequency of the sound to be ƒ '.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, using a diagram, any difference between ƒ and ƒ<em>'</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The frequency ƒ is 3.00×10<sup>2</sup>Hz. An observer moves towards the stationary car at a constant speed of 15.0ms<sup>−1</sup>. Calculate the observed frequency ƒ' of the sound. The speed of sound in air is 3.30×10<sup>2</sup>ms<sup>−1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about using a diffraction grating to view the emission spectrum of sodium.</p>
<p>Light from a sodium discharge tube is incident normally upon a diffraction grating having 8.00×10<sup>5</sup> lines per metre. The spectrum contains a double yellow line of wavelengths 589 nm and 590 nm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the angular separation of the two lines when viewed in the second order spectrum.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State why it is more difficult to observe the double yellow line when viewed in the first order spectrum.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Doppler effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the Doppler effect.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A spectral line from a source on Earth has a frequency of 4.672×10<sup>14</sup> Hz. When this same line is observed from a distant galaxy it is found to have shifted to 4.669×10<sup>14</sup> Hz.</p>
<p>(i) State the direction of the motion of the galaxy relative to Earth.</p>
<p>(ii) Deduce the speed of the galaxy relative to Earth.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about diffraction and resolution.</p>
<p class="p1">Monochromatic light is incident normally on a single narrow slit and gives rise to a diffraction pattern on a screen.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_09.44.32.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/03"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Sketch, for the diffraction pattern produced, a graph showing the variation of the relative intensity of the light with the angle measured from the centre of the slit.</p>
<p class="p1"><img src="images/Schermafbeelding_2016-08-31_om_09.48.03.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/03.a"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The single narrow slit is replaced by a double narrow slit. Explain, with reference to your answer to (a), how the Rayleigh criterion applies to the diffraction patterns produced by the light emerging from the two slits.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Two lamps emit light of wavelength 620 nm. The lights are observed through a circular aperture of diameter 1.5 mm from a distance of 850 m. Calculate the minimum distance between the lamps so that they are resolved.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about two-source interference.</p>
<p>Coherent light is incident at right angles to a double slit. An interference pattern is observed on a distant screen.</p>
</div>
<div class="question">
<p>The number of slits is now increased. State and explain the effect, if any, this has on the appearance of the bright fringes.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about a double-slit experiment.</p>
<p>Coherent monochromatic light is incident on two narrow rectangular slits. The diagram shows the fringes produced on a screen that is some distance from the slits. M is the middle of the central bright fringe and P is the middle of the third bright fringe.</p>
<p><img 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2Of1/y+eIQHAQIECBAgQIDAiAv8hxEfgQEQIECAAAECBAh0CghmNgQCBAgQIECAQJMICGZNsiIMgwABAgQIECAgmNkGCBAgQIAAAQJNIiCYNcmKMAwCBAgQIECAgGBmGyBAgAABAgQINImAYNYkK8IwCBAgQIAAAQKCmW2AAAECBAgQINAkAoJZk6wIwyBAgAABAgQICGa2AQIECBAgQIBAkwi8tspxTN570nZ1t+Gpjdv1vr7eZAwR22tQela1LkbzGKoyKD2312GsjaG08CBAgACBgQXsMRvYyCsIECBAgAABAlkEKt1jVh/x15f/Tf3bfr+ePef0ftt3pNEYIgZrUDoP17oYTWMYLoPSd7AOY30MpYUHAQIECKQF7DFL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgllWbsUIECBAgAABAmkBwSxto4UAAQIECBAgkFVAMMvKrRgBAgQIECBAIC0gmKVttBAgQIAAAQIEsgoIZlm5FSNAgAABAgQIpAUEs7SNFgIECBAgQIBAVgHBLCu3YgQIECBAgACBtIBglrbRQoAAAQIECBDIKiCYZeVWjAABAgQIECCQFhDM0jZaCBAgQIAAAQJZBQSzrNyKESBAgAABAgTSAoJZ2kYLAQIECBAgQCCrgGCWlVsxAgQIECBAgEBaQDBL22ghQIAAAQIECGQVEMyycitGgAABAgQIEEgLCGZpGy0ECBAgQIAAgawCgwpmk/eeFOW/kXyM9BhGun5pbwxdWyCH5nBohvXQJeG/BAgQGDsCgwpmY2dxLQkBAgQIECBAoHkFXjscQzt7zunD0e2Q+jSGCAZdmwyH5nEY0v/EXkyAAIEWFLDHrAVXukUmQIAAAQIEmlOg0j1mG57aOOJLaQwRDLo2Qw7N4zDivxgMgAABAqNEwB6zUbKiDJMAAQIECBAY+wKC2dhfx5aQAAECBAgQGCUCgtkoWVGGSYAAAQIECIx9AcFs7K9jS0iAAAECBAiMEgHBbJSsKMMkQIAAAQIExr6AYDb217ElJECAAAECBEaJgGA2SlbUaBrmpk2bor29fTQNuanG+rvf/a7Tr/zqQYAAAQKtJfCa3xeP1lpkSztcAmUgW7L4a/HNb3yjs0QzzCM2XMs6nP2WoXbWiTNj5513jnM/+Yk45dRT4w1veMNwltQ3AQIECDSJgD1mTbIiRvMwykD2+cs+F4cfcmh3KBvNy9MsY3/55ZfjysuviD879LBYtnRp2IPWLGvGOAgQIDB8AoLZ8NmO+Z4FsjyrWEDL46wKAQIEmkFAMGuGtTDKxiCQjcwKE9BGxl1VAgQI5BRwjllO7TFQa/Lek8bAUoyNRdhll13ijrv+ISZOnDg2FshSECBAgEDYY2YjIDBKBd72jre7KGCUrjvDJkCAQErAHrOUjOf7Fbj9B7cXJ6ZfHs8++2zyda7KTNL021C/KjP1okMPPyzOv+CCmDJlSuolnidAgACBUSpgj9koXXEjPezjjj8u7v/RA/Hlr341dt9995EeTkvULwPZLbeuir+96SahrCXWuIUkQKAVBQSzVlzrFS6zgFYhZqIrgSwB42kCBAiMQQHBbAyu1JFYJAGtenWBrHpTPRIgQKDZBZxj1uxryPgIECBAgACBlhGwx6xlVrUFJUCAAAECBJpdQDBr9jVkfAQIECBAgEDLCAhmLbOqLSgBAgQIECDQ7AKCWbOvIeMjQIAAAQIEWkZAMGuZVW1BCRAgQIAAgWYXEMyafQ0ZHwECBAgQINAyAoJZy6xqC0qAAAECBAg0u4Bg1uxryPgIECBAgACBlhEQzFpmVVtQAgQIECBAoNkFBLNmX0PDOr6OeGrpyTF570k9//3Z1dG+ZaiFt8TzK8+O/Xr09daYsfSJoXbk9aXAxqUxo4dlr3XUZ9sRMffqJbFsZXtspkhgBAS2bFgas/YpttV9zo5Vzw/5l8gIjLiPki9tjs1VDr3q/voYsqdKgSdi2YfeWvtbdmhcsmY4fwu+Eu1Xv6+otW8cftHqyn/fCma26G0FnlkTq9e9su3z/T7z27jv9oeio9/XaBxegWdizeKr4srzZ8bUQ86OZe3PD285vRNoFNjyeNxw4ZejvWPnmHLRp+OECeMaW0fB989H+4r5MePwK6P936sYbtX9VTEmfVQj8LqYMu+CmD0xYtOKy+OqNc9V022tF8GsUs6x0tnG+MFdj8WQPjQ+/2Dc8cPh/IQyVmwzLcem1XHlyefGsg2vZiqoTGsLvBobln8+rnnk5Yg9TosFc/aLURXLNv84Fn5oWsy66Nvxiyo+XVbdX2tvXM259OOnx4UXvifa4um4ef51sbbC3ayCWXOu8hEZ1U5HHhWHt5WlO+KZ790d6wadzIrDmPfeGfd3/kIbHxMn7jQi4x+zRXc6OZY9uTE2PNX/vyfWLo9LT96/+EVRe3Q8GNdceGNsGPR6rL/RVwJDE9iy4ca4eOGDxW+OvWL2F+bElFGVyoplffGX8aN1Rais6lF1f1WNSz8VCoyLCTM+HRccsHOx2+yW+MwVayo7pCmYVbiaRn1Xb3p3HPfu8V2LMaTDmQ2HMfd4b5xweK2PUQ8yuhZg3KRpcdbC5XHTOVO6w1nHIzfF0vuq3c0+ulSMdvgFno3vXvE/i0OYEW0HnBZzj9xt+EuqQKAZBMbtE7PO/UBMLD6SbFpxTXy9fainAPW9EIJZ3y4t+uwfxXuOO7D2R30IhzO7D2O2xR4fPDoOGG2flsfU2p4QUy9YEHP2qO83ezZ+/NCvh3ZYekx5WJjhFtjSfmP89T3laQzj44jTjo/J/v8fbnL9N43AuBh/5ElxQufv2ydi+VfujCrO7BXMmmYFN8NAXhsT3nNsHDGkw5mNhzEnxfHvfdvoOrekGdirHsO4yXHgYRNqvRaHpR94JP6x6hr6I9ApUOwt+8p34pny+z1OiY/P2J0LgdYSGPfOOPO88lyz4iSge5bE9RXsNXttawla2gEFJhwS7y8OZ64pPwF3Hs78REyZ8rp+3tZ4GHN6HLP/62Lzt/t5uSYCBMaMwNa9ZV17y/dP7i0rpzI4Ia5cV16MMjFmL78jrpq+c2xu/17cctf344bF98Smukrb/jH7/NnxvvfNimmTBnm+6ub2WHXz/4qffm9p3Nx4rlhnXzPioIM/FDOn1D+s1AsVf0jXXBzvnLMielwi8+qKOGufFV0vKs/v/MXVMa2+A3rrW/v8bof6285l6HMgAz65pcv+Jz+O71+7oucFDxOPinlnvicOPHoI/ls2xtpv3BUPPfC3seSezpjeNYLOvj4Qx8z+YEwZn9w4Ol+7ZePa+Obdv4xf9V6HRWvb/ifHeR88NA4aRD8DLnr9BakxD3n7K84169yhsTrWdHTtNTvz+pmx7dZWLzzwV3vMBjZqsVe8KY4cyuHMXocx07+YW4xxRBf3lXjx+a1/atp2mxDF6akeBCoWeCXW3bWma29ZlHvL3zr4veXFH8W758+MQ048L65sDGXlCDvWxc1X/UWcNe2Y+NjKDQMchi+mpFh6dhz+zplx4eVf6hnKuvv6Qlx44rSYcdF3or3CK+eqw8y8DFs2xKqz3xNTS/ureoWycqE23RNLLi/9D4oZ82+Pp/q9eOjVeGr152PGftPjrC9c1TOUdfd1Xsw6cGYsWL2x73XZuS2cEG+bNie+2Nc6LPrpWLciFl5e9jM7Fj68owcLBxhz9/Y3mOUvF7J41HZolN92/PDOuG8H5/ATzEpJjwaBevovnxro6szehzGH8Iu5oaJvKxbY/Gj89NF/qXXaFm/ad6/i7B8PAhULbHksVn9vY1enO70zDnx7f3vWG2tvjvv/Yk7M+9a64jdMf49nYvX5H49rk4eGnou1F50Usy5fvXVvW7K7l+MXKy6NUz/6V/FwU4Wz3MtQ1Lv0zLjwroa9Wv2ZfeuSuGD5430HqmI/44alZ8Sxc/+m5x63vvorws535p4RC3rP91WGxHM+OohtodZpR3ssOWVHpgEqQtnKC+O0wYw5im3mW5+K085ZMUA4Lcc2Pibt+4ddg+x4KO6497dd32/nfwWz7YQb029rSP9dhzNTV5psexhzTLuMhoUrf9Fd9IW4eVP9T94Q92SMhmU0xqYQ2LLu7vjBM13bWdvhB8f+gzzcF8Uf9E2byosFdo53nHxBLLr1Z91TwWwz5Usxm3vfJ1SXoeCTcc6Kp7dalIfNrl0VD3dPK/NY3FPMrTbvqD26X9Oxbkl8smFag7bpV8ej5evXzo931F/VOD3N44M/jFm+fWj9VbMM9WEP5uuW9uXxuW6zPWL6OdfGLT9f3+2/4an18fCt1zaYvRztC78U3+1jD9DWKVJqlctDgAuWxz0b6tP6/CxuWXhqvKN7u+g931fxwf62q2N+d0gst4f5sWztYw3j2RjlNvGZc44qDoDXHh0Px423PJoIi/UX9f21HPMFl3y/O8iXh0gv6rHN9K5XXG151xf7Caf1Oq+L/d87Pbq2tM3xo5/8aoAPHfX39f1VMOvbpcWfHeThTIcxm2c7Kc+XWP7luOTEExs+DbfFxOIP39n9niPYPItgJKNJoDhH6f9siK79AtuzV3aPOObaW2Plwj/vce5X15Qvy2LxyXt1Y3T86sn4de/DaZvvj6XXP9z9x69t/3NjxZ1L4qKTpjTsHd4p9p7+0bjo+ttiRfcUMuW0BtXP1N492KF8k30ZGtdZESKPOi+uunhmr3O/iqsMp8yMi76+NC4t5+cqH33uAdo6RUrnayZ+IBbd9Xdx1dxpsXf3qWQTYsrJV8TKO+fHlHo423RHfOue2t6kLT+P66+7t7YOi7tFLFhRbA9ztzmvsNwmzrj4K/HNBYfUZgzY3guaGsdchMBzvhUP/v3VMa/HNhPRVW9J/GDlubVQmQ6nncte+8+4PfeJfWvL+eqPfhq/7L3NNr54gO8FswGAWrN5MIczGw5jtk2Nj8xyNeawbSudJyMPcK/MyeU5Hr3OsZk4K744f3rDH6phG6GOW07gX+PX65+u/VF9fez7lj8a/PllhVXbAR+NC2dMTrxnt3j3qe+v7X0oXvzPL8TmHrdIKn733HNz3FbfK9x2TFxxw6diavLk8mIKmeIP+xVH1Q/oPx233XR/JdMabP9qH4ll+Pd4+YXN3WE2ntsYT6UO647bL85ata6256o9lp7U62rb7g/lpcD4mH7hpTEzcaHGuMnHx4fr82MWU7B2703a/HQ8+dvanv22Q+LDM/dJbA9ljZ1i8tHTY7/y2/LxxPrYWD8o0PXMwP9tHHNxd4rLLji0n9+NRUCdek5cdta+Xf32GU57ldzljdF9F7LfboiNKdteb+vrR8GsLxXP9TiZMfrcyLYexmx79+w4cfIgr55im0Gg2FN21Cdj2bc/G9OSf6wyDEOJMSywOTY+8U+15dspJrxxsOeXlW8p9rAdfEDDnpVtmcaN3zXeuO3TtWcaQ2FxNehZ8wZxX87d44RzT+kOe33uhUvWG46GkViGtnjzu6ZuNVj3lTi5OCn/kq8tjWVLbxvShREd//sn8aN6MGo7MN7/njf1g7R7zLy+vfvw5KMLp3Xt+ZowM5bW72jy5NdjZneqSXS1y4TYrb7nLfGS9NMNOxKK6uV8mwNfqDbEw5Ntfxxv2bf2d7Dj6Vj/639ND2eAFtNlDADUus21w5n3rI6O2qeFmY2fmro/fRSTSh53yA5dGty6xlUueRnGzogzDpkYu76r76kBqqymr1YX+F288Fz9yt9dYtc3/sEQQIa+h61n542hcPB91Q81dZ4WV/uwOWWgMNCzcIU/jcwyjNv/hPjIATfFleU9TctH5xWI67q+L656LCajK847+29x8FsOilm9DvF1vaj8b0f8pjiPrL72402TY9KwfAAsTtRfc0vcveH/RWxZv+20HlsHNIjvGoNwcSh08azYd/Eg3tbwklcfXx+/ieJQbcNzPb99Q+y6WxnMSpmX4oUX/634OpQPLFt7E8y2Wviuh0D9cGY5N0txFdXtD8bzJ9XnZmn49DHgp6UenfphewSGOJfS9pTwHgLbL/CfYtfxQ9mVMdQ9bL1H1hgKh9BX/VBTuaen+J32wkvF8dERC2YjtAzlIcrlN0Sc/6m4snG+sW7iZ2LN4qtiTfHzled3nYx/2fzZvc5D635x1ze7Fns3u88r69U2yB+75jB7Ip57sNc8aIN8/8Av+7fY/PxLA7+sv1fUDp/undzUXxdvnFDNkSOHMvtbEa3e1nB1Zs+5WRoPYx4bR47YL7dWX0GWnwABAkMUGD81zrr+3uLqy+vi0sarHbfppmuKkVnHfipWbezeP7bNq3boiR5zmPUxD9oOdT5632yP2ehddxlGnjic6TBmBnslCIwWgX+M9RuLefMm1U+uH+5xNx4yejWef7GczmcQtV96MbpnfWgbH7vuMpL7JUZ6GcqrL2fEWeW/i2t3AfjZb+OFvvZYbfp+zP/itDgyNZv9Cy/Ei8UViFuvxhzk+u+cw+z0hqvIG99XPzXjP3c9ueu7YtYBP4vTp10Rv2h82aC//4MYP2GX4tWbin87xTsWfDdum1s7sX/QfQz0wn+KDY+X08Ds+GMkt8wdH70ehlmgfjizLFM7nFnMHvP8vXfG/eXhAIcxh9lf9wSaVeAPY/J+gwhDwzL8hsk841+KC/T+7yDmtGr4vVWOadjOixrsAjfTMtRC2tx5xdQi9xcn6feey6w48vvDxtns2+KPJ08q4k3t0efFYfXG2teNS2PG3vUry4vbXBV74Dbfd31c2z2HWe851Z6IB66/NM6aO7frX/J8t151kj/+x9jzLXt1XXRQnAP2+IO/HOarct8cb5n0+uRoBmoQzAYSavX2CUfEh0/smlOo63/OZ+O+2x/qvOS67d0OY7b65mH5W1WgvgeiXP7N8fiG+hWaOTwa/8gWJ3IvW9LnBKg9R7L19Ivy+bY/3Sf23MHzonr2P9SfRmIZyvuVvjUmdwak98XC5B0VanOZfe0LMbuevurn5NUWs+2/HByH1c+1GnAqiSIUP/JQPF4n2mNqTN3z1Wi/c21totfiKslz/iq+ts2cavU3lF979dHYNKjvi2X6k8lRv3a044c3x60bBjo8W9RceXbsVwuU+525qv8w1/GbWP9Erc8d3CMrmA1qpbbyixrmFCr/B7xrbfz0gXJ3rasxW3mrsOytLtAYLLbEiy+8PIi9VlWZFXvyj5odMybWkkHH6ph/Rn+3Wno+Hr763Jh/T/0w014x47QjRvhK8pFYhj1i6uF71lZCcUeFv7wpNvQzCeqWX6+P9fX2nYq9XXvUk1jRRcP5x2UwX7PoyuR5aFs2rowFi+6tzZ822KkqGreV8t6WX4wzLylmCGh8eojfd12RWp8098G45ryv9nt7ri0blse87pqD2GaeWR+P17PeDu6RFcyGuHJb8eXj9j86ju/8n7I4nPnXi2NtufE5jNmKm4JlJlATKILFAQfWJvzc3pnYdwBz/BEx98yptUNTxaG2ck6uY+fFwpXtRUyoP8rpFr4ZC8+cEScvbu/+o952wGkx98jd6i/q+to4R9arP4l/uP+5nu1D/Wkw/VW9DAOOsZiXa9as7ln4Ox65Io4/8eJY0sOs6KTzLiJXxsdOWxTtnUmoON/rQ0d3v6+rTDEv3PyPb32uOA/twvf+17hk6dqG+0oWN2dfeXV87NTPxOr6ZMDFpNefm/fOYiLZ18ekfd5cG3E5fcWn4mNXr+o1l1r5/qXF+jsmjprb636cW16MF1+qp8ZaNwN9GbdPzDr3A923durcZjrnces1h9vm9lj1tYvjpGOvqC1/8eeur22mV72OjevjydpzOx12ULx9B/bIOvm/F64f+xAY99Y45oOTYsniJ6Jj06b45+IlDmP24eQpAq0ksOcBcVjxge0X5cRgjz0Ujzw/J/bOdoV2MRP83P8Ri5+cHWfV7/246Z5Ycn75L70Syls33bR8Tkzu/UezcSqNKO7pOOeguLnsprirwKIHFw88+WnvkoPqr+Jl6D2GPn4eN/kjcfVFa+L4yx/sDKod61bEwvPLf328uP5U4g4iZV/XXLUuTju/du/Jck60y+cU/+pv7P11r5h9xXm1Sa/Hxd4zT4npCx8qpmMqX1dO03F+57/e7+rz5/qh1SFtb8XhzOmfLW7ttLF7+bvmcTsvbr6qnMMt8ShuN3XFtR/Zdpvp8fJX4pcP/bw2t9v4OOzgP+3+0NDjZYP8wR6zQUK19ssaZ0AuJRzGbO3twdITKARqH9g6LQY8z2g4xHaLaQtXxi0LjuneC5KuUs7JdWV8+5uJWze1vT3e96Gt9+fs7md7Z3AfdH8VLkP3oPv7pgyDX4lvD8qsyKX7nx5LkncQKe5FetKiuGnp6Q03Kk/ULm5wfsrSG+Ly6Q17KiecEIu+U78fZeJ99aeLG9T/+fIb46ru22o9GT95ZHv2apbLf0PcOZgxF7W7ln9R8nZT9eHFlsdi9fc2dv1YwdEkwaxb1jf9CWw9nFm8qoINr79a2ggQGA0CjYfG6ldt5x53caPsuV+PB36+KhYt+HTM3r92DlF9GMUf9HkL/jKWrf1p3LbwlH4mSq0FpGs/FtPr56519lGfwb3e4WC/DqW/qpZhsGPrqvfDtcvjMwvO7rW8ZR/lFZKXxGeWr4lH//6yODpxD8yuakU4O+ayuO3xNbHssyn/6+KWh1bF5cdM6nUvzGIP1tTz47aibVFf4yjC3OxL5neO44kHl8Wnpx8a0487sLYnake2t8YxXxLzjtqjF9xQlr/rrVvW3R0/6LylRHHY98TZMX1Ie/J6lS9+fM3vi8e2T3uGAAECBAgMJPBsrDrz+LiwPLF+ew/7DVRCO4GmFngl2q8+MWYVp/pE7Bvzbr01Lpqyfbdiqi+mPWZ1CV8JECBAYIgCDTcHH5HDmUMcrpcTqFqg4TBm21Hz4swdDGXl8ASzqleS/ggQINBCAuOmfCT+e+e5P8W0CdfdGO1DvFiuhags6pgTKOY6u21JLO88jLlvzDn32EqmYRHMxtyGYoEIECCQU6Bh6oRn7oi/u297TsrOOV61CFQksOXncf115RxtxbllJ18QZ1ewt6wcmWBW0frRDQECBFpVoGsahkOKP0/FVBOfXW6vWatuCC213A17yxJTimwvh2C2vXLeR4AAAQI1gWIagjmXxQUHFFdFPnNTXL788Yx3ArASCIyAwOY1sWhRubescX62asYhmFXjqBcCBAi0tsC4/eKMRZ8oZoN/OdoXfmkQ969sbS5LP5oFiisxl1wTN2+K4hDmgrikcX62ChbLdBkVIOqCAAECBAgQIFCFgD1mVSjqgwABAgQIECBQgYBgVgGiLggQIECAAAECVQgIZlUo6oMAAQIECBAgUIGAYFYBoi4IECBAgAABAlUICGZVKOqDAAECBAgQIFCBgGBWAaIuCBAgQIAAAQJVCAhmVSjqgwABAgQIECBQgYBgVgGiLggQIECAAAECVQgIZlUo6oMAAQIECBAgUIGAYFYBoi4IECBAgAABAlUICGZVKOqDAAECBAgQIFCBgGBWAaIuCBAgQIAAAQJVCAhmVSjqgwABAgQIECBQgYBgVgGiLggQIECAAAECVQgIZlUo6oMAAQIECBAgUIGAYFYBoi4IECBAgAABAlUICGZVKOqDAAECBAgQIFCBgGBWAaIuCBAgQIAAAQJVCAhmVSjqgwABAgQIECBQgYBgVgGiLggQIECAAAECVQj8f6t0hO+0nOP+AAAAAElFTkSuQmCC" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why an interference pattern is produced on the screen.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The two slits are separated by 2.2 mm and the distance from the slits to the screen is 1.8 m. The wavelength of the light is 650 nm. Calculate the distance MP.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about standing waves and the Doppler effect.</p>
<p>The horn of a train can be modeled as a pipe with one open end and one closed end. The speed of sound in air is 330ms<sup>–1</sup>.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On leaving the station, the train blows its horn. Both the first harmonic and the next highest harmonic are produced by the horn. The difference in frequency between the harmonics emitted by the horn is measured as 820 Hz.</p>
<p>(i) Deduce that the length of the horn is about 0.20 m.</p>
<p>(ii) Show that the frequency of the first harmonic is about 410 Hz.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Describe what is meant by the Doppler effect.</p>
<p>(ii) The train approaches a stationary observer at a constant velocity of 50ms<sup>–1</sup> and sounds its horn at the same frequency as in (a)(ii). Calculate the frequency of the sound as measured by the observer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Doppler effect in sound.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A fire engine is travelling at a constant velocity towards a stationary observer. Its siren emits a note of constant frequency. As the engine passes close to the observer, the frequency of the note perceived by the observer decreases. Explain this decrease in terms of the wavefronts of the note emitted by the siren.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The frequency of the note emitted by the siren is 400 Hz. After the fire engine has passed, the frequency of the note detected by the observer is 360 Hz. Calculate the speed of the fire engine. (Take the speed of sound in air to be 340 ms<sup>–1</sup>.)</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about resolution.</p>
<p>Light from two monochromatic point sources passes through a circular aperture and is observed on a screen.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The graph shows how the intensity <em>I</em> of the light on the screen varies with the angle <em>θ</em> .</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The two sources are just resolved according to the Rayleigh criterion.</p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by resolved in this context.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The wavelength of the light from the two sources is 528 nm. The distance of the two sources from the aperture is 1.60 m.</p>
<p>Using data from the graph opposite, determine the</p>
<p>(i) separation of the two sources.</p>
<p>(ii) diameter of the aperture.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Ω<span style="font-size: 7.000000pt; font-family: 'TimesNewRomanPSMT'; vertical-align: 5.000000pt;">– </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">particle. </span></p>
<p>The Ω<sup>–</sup> particle is a baryon which contains only strange quarks.</p>
</div>
<div class="specification">
<div class="page" title="Page 34">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about laser light.<br> </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce the strangeness of the Ω<sup>–</sup> particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Feynman diagram shows a quark change that gives rise to a possible decay of the Ω<sup>–</sup> particle.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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" alt></p>
<p>(i) Identify X.</p>
<p>(ii) Identify Y.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The number of lines per millimetre in the diffraction grating in (b) is reduced. Describe the effects of this change on the fringe pattern in (b).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about resolution.</p>
<p>A car is travelling along a straight road at night. To a distant observer the two headlamps of the car appear as a single point source. With the aid of an appropriately labelled sketch graph, explain this observation.</p>
<p><img 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" alt></p>
</div>
<br><hr><br><div class="specification">
<p>This question is about two-source interference.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light from a monochromatic source is incident at right angles to two slits. After passing through the slits the light is incident on a distant screen. Point M is the mid-point of the screen.</p>
<p><img 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" alt></p>
<p>The separation of the slits is large compared to their width. A pattern of light and dark fringes is observed on the screen.</p>
<p>(i) State the phenomenon that enables light to reach point M on the screen.</p>
<p>(ii) On the axes below, sketch the intensity of light as observed on the screen as a function of the angle <em>θ</em> . (You do not have to put any numbers on the axes.)</p>
<p>(iii) The distance of the screen from the slits is 1.8 m and the slit separation is 0.12 mm. The wavelength of the light is 650 nm. Point Q on the screen shows the position of the first dark fringe.</p>
<p>Calculate the distance MQ.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why, even though there are dark fringes in the pattern, no energy is lost.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about interference of light at two parallel slits.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the condition necessary to observe interference between two light sources.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows an arrangement for observing a double slit interference pattern. A parallel beam of coherent light of wavelength 410 nm is incident on two parallel narrow slits separated by 0.30 mm. A screen is placed 1.60 m beyond the slits.</p>
<p><img 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" alt></p>
<p>Calculate the fringe spacing on the screen.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The slits in (b) are replaced by a large number of slits of the same width and separation as the double slit. Describe the effects that this change will have on the appearance of the fringes on the screen.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about diffraction and polarization.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light from a monochromatic point source S<sub>1</sub> is incident on a narrow, rectangular slit.</p>
<p><img 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" alt></p>
<p>After passing through the slit the light is incident on a screen. The distance between the slit and screen is very large compared with the width of the slit.</p>
<p>(i) On the axes below, sketch the variation with angle of diffraction <em>θ</em> of the relative intensity <em>I</em> of the light diffracted at the slit.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABSYAAAIeCAYAAACm3NEFAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxtpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+MTMxODwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWURpbWVuc2lvbj41NDI8L2V4aWY6UGl4ZWxZRGltZW5zaW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KvhZjBwAAQABJREFUeAHt3Q+QpgV9H/CfOTa5sWDOuwS28Uo4jyM4g8QFMWgHlDMYENtIQpxJGaVB8EBwUlOlJbGtnSrGYEqnQBC5hEaHwhAn1FrF5uAuQGMvg3LOpTMqd+chvegRZuWqyJDebO3+ufeyx+2y//d5vu/z2Rnd2933fZ/v8/kuc7vfe97dl/xo9KW8ECBAgAABAgQIECBAgAABAgQIECBAYBkFfmwZj+VQBAgQIECAAAECBAgQIECAAAECBAgQGBcwTPpEIECAAAECBAgQIECAAAECBAgQIEBg2QUMk8tO7oAECBAgQIAAAQIECBAgQIAAAQIECBgmfQ4QIECAAAECBAgQIECAAAECBAgQILDsAobJZSd3QAIECBAgQIAAAQIECBAgQIAAAQIEDJM+BwgQIECAAAECBAgQIECAAAECBAgQWHYBw+SykzsgAQIECBAgQIAAAQIECBAgQIAAAQKGSZ8DBAgQIECAAAECBAgQIECAAAECBAgsu4BhctnJHZAAAQIECBAgQIAAAQIECBAgQIAAgWPmQrD+pHVzubnbEiBAgAABAgQIECBAgAABAgQIECDQYYE9T+yd9uznNEyOPdDYOPliDzjtkXyAAAECBAgQIECAAAECBAgQIECAAIHOCMx0kaOncnfmU8GJEiBAgAABAgQIECBAgAABAgQIEGiPgGGyPV1IQoAAAQIECBAgQIAAAQIECBAgQKAzAobJzlTtRAkQIECAAAECBAgQIECAAAECBAi0R8Aw2Z4uJCFAgAABAgQIECBAgAABAgQIECDQGQHDZGeqdqIECBAgQIAAAQIECBAgQIAAAQIE2iNgmGxPF5IQIECAAAECBAgQIECAAAECBAgQ6IyAYbIzVTtRAgQIECBAgAABAgQIECBAgAABAu0RMEy2pwtJCBAgQIAAAQIECBAgQIAAAQIECHRGwDDZmaqdKAECBAgQIECAAAECBAgQIECAAIH2CBgm29OFJAQIECBAgAABAgQIECBAgAABAgQ6I2CY7EzVTpQAAQIECBAgQIAAAQIECBAgQIBAewQMk+3pQhICBAgQIECAAAECBAgQIECAAAECnREwTHamaidKgAABAgQIECBAgAABAgQIECBAoD0Chsn2dCEJAQIECBAgQIAAAQIECBAgQIAAgc4IGCY7U7UTJUCAAAECBAgQIECAAAECBAgQINAeAcNke7qQhAABAgQIECBAgAABAgQIECBAgEBnBAyTnanaiRIgQIAAAQIECBAgQIAAAQIECBBoj4Bhsj1dSEKAAAECBAgQIECAAAECBAgQIECgMwKGyc5U7UQJECBAgAABAgQIECBAgAABAgQItEfAMNmeLiQhQIAAAQIECBAgQIAAAQIECBAg0BkBw2RnqnaiBAgQIECAAAECBAgQIECAAAECBNojYJhsTxeSECBAgAABAgQIECBAgAABAgQIEOiMgGGyM1U7UQIECBAgQIAAAQIECBAgQIAAAQLtETBMtqcLSQgQIECAAAECBAgQIECAAAECBAh0RsAw2ZmqnSgBAgQIECBAgAABAgQIECBAgACB9ggYJtvThSQECBAgQIAAAQIECBAgQIAAAQIEOiNgmOxM1U6UAAECBAgQIECAAAECBAgQIECAQHsEDJPt6UISAgQIECBAgAABAgQIECBAgAABAp0RMEx2pmonSoAAAQIECBAgQIAAAQIECBAgQKA9AobJ9nQhCQECBAgQIECAAAECBAgQIECAAIHOCBgmO1O1EyVAgAABAgQIECBAgAABAgQIECDQHgHDZHu6kIQAAQIECBAgQIAAAQIECBAgQIBAZwQMk52p2okSIECAAAECBAgQIECAAAECBAgQaI+AYbI9XUhCgAABAgQIECBAgAABAgQIECBAoDMChsnOVO1ECRAgQIAAAQIECBAgQIAAAQIECLRHwDDZni4kIUCAAAECBAgQIECAAAECBAgQINAZAcNkZ6p2ogQIECBAgAABAgQIECBAgAABAgTaI2CYbE8XkhAgQIAAAQIECBAgQIAAAQIECBDojIBhsjNVO1ECBAgQIECAAAECBAgQIECAAAEC7REwTLanC0kIECBAgAABAq0W2LFjR6vzCUeAAAECBAgQIJAlYJjM6ktaAgQIECBAgEAjAmOj5JXvfnc9++yzjRzfQQkQIECAAAECBPpPwDDZf506IwIECBAgQIDAogvcevMt9cz3nql77r570R/bAxIgQIAAAQIECHRTwDDZzd6dNQECBAgQIEBg1gJjV0tu27p1/PafvO02V03OWs4NCRAgQIAAAQIEXkzAMPliOj5GgAABAgQIEGi9wIHadt3ra/1J66b/3z++o55YwHmMXS3Ze3HVZE/CawIECBAgQIAAgYUKGCYXKuj+BAgQIECAAIFGBVbVeb/3P2vPE1+pe68eqoHDWQZq8M2/XZ/92u7a81+vrJMOv39uf+hdLfmuyy4bv+N5GzeWqybnZujWBAgQIECAAAECUwsYJqd28V4CBAgQIECAQJjAmjrzHRfWqb3Ug5fUR37/8hpataL3nnm97l0tuenqq8bvf837rvWzJucl6U4ECBAgQIAAAQIvFDBMvlDE2wQIECBAgACBUIGDe3fXrvHsA7X24l+tcxc4Sk6+WnJwcHD8kYeGhspVk6GfIGITIECAAAECBFomYJhsWSHiECBAgAABAgTmJ/Bc/a9Hv1bPj995XV30llfVwq6VrHrh1ZK9XK6a7El4TYAAAQIECBAgsBABw+RC9NyXAAECBAgQINAWgZGv15bP751IM/CzdfKJP7GgZFNdLdl7QFdN9iS8JkCAAAECBAgQWIiAYXIheu5LgAABAgQIEGiJwMjOB+oL+w6Opxk494J645qFXS853dWSvdN11WRPwmsCBAgQIECAAIH5Chgm5yvnfgQIECBAgACB1giM1IFv7amnxvOsqnPeenatWUC2F7tasvewrprsSXhNgAABAgQIECAwXwHD5Hzl3I8AAQIECBAg0BqBp+qhLz5a49dLDpxVF77phAUlm+lqyd6Du2qyJ+E1AQIECBAgQIDAfAQMk/NRcx8CBAgQIECAQJsEhrfX/Q8fmEh0wvpat4Dfxj2bqyV7p+6qyZ6E1wQIECBAgAABAvMRMEzOR819CBAgQIAAAQKtERip4T//Uj0ycblkrf1Hv1inL+DHS872asne6btqsifhNQECBAgQIECAwFwFDJNzFXN7AgQIECBAgECrBCY9jbvW1UVveVXNd5ecy9WSPQJXTfYkvCZAgAABAgQIEJirgGFyrmJuT4AAAQIECBBok8DId2v3N384kWjtxjr/9JfOO91cr5bsHchVkz0JrwkQIECAAAECBOYiYJici5bbEiBAgAABAgRaJjCy84H6wr6x53EPLOhp3PO5WrJH4arJnoTXBAgQIECAAAECcxEwTM5Fy20JECBAgAABAq0SeK52/tnW2jeeaU29/qz1834a97M/eLZeuf6Vtenqq+Z1hmNXTXohQIAAAQIECBAgMBeBY+ZyY7clQIAAAQIECBBokcDI12vL5/dOBBp4db3u54+bd7hzzj2ntjz44LzvP3bV5Fcee2ze93dHAgQIECBAgACB7gm4YrJ7nTtjAgQIECBAoE8E/u5p3KNP5D73gnrjmvn+2ps+AXEaBAgQIECAAAECUQKGyai6hCVAgAABAgQI9ARG6sC39tRT42+uqnPeenat6X3IawIECBAgQIAAAQIBAobJgJJEJECAAAECBAgcLfBUPfTFR2vs197UwFl14ZtOOPom3kOAAAECBAgQIECgxQKGyRaXIxoBAgQIECBAYFqB4e11/8MHxj/sadzTKvkAAQIECBAgQIBAiwUMky0uRzQCBAgQIECAwNQCz9WOzbfX1vHLJVfWqWef5mncU0N5LwECBAgQIECAQIsFDJMtLkc0AgQIECBAgMDRAsO1496P1L/d/PihD43U09sfqh0HRo6+qfcQIECAAAECBAgQaLHAMS3OJhoBAgQIECBAgEBPYOSr9Xtv/PW6fd/4ZZK9946+Plj7H7yhLnnNDaM/a/L8unH7bfUrfjv3JB9/JECAAAECBAgQaKuAYbKtzchFgAABAgQIEJgssOLMuu5/PF7XTX6fPxMgQIAAAQIECBAIFvBU7uDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1ObgIECBAgQIAAAQIECBAgQIAAAQLBAobJ4PJEJ0CAAAECBAgQIECAAAECBAgQIJAqYJhMbU5uAgQIECBAgAABAgQIECBAgAABAsEChsng8kQnQIAAAQIECBAgQIAAAQIECBAgkCpgmExtTm4CBAgQIECAAAECBAgQIECAAAECwQKGyeDyRCdAgAABAgQIECBAgAABAgQIECCQKmCYTG1O7sYFdu/aXfv37288hwAECBAgQIAAAQIECBAgsHCBZ599tsa+z/NCgMDyCRgml8/akfpEYMeOHXXF5e+uXzr//Lrx4x/vk7NyGgQIECBAgAABAgQIEOi2wKdu/9T493lj3++Nfd/nhQCBpRc4ZukP4QgE+kNg7C+mW2++pbZt3Tp+Qu+67LLadPVV/XFyzoIAAQIECBAgQIAAAQIdF3jPpvfUy152XH3yttvqkot/pc7buLGued+1NTQ01HEZp09g6QRe8qPRl7k8/PqT1tWeJ/bO5S5uSyBaYLpBcnBwMPq8hCdAgAABAnMV8HXgXMXcngABAgQSBcae0n3P3XePD5TPfO8ZA2ViiTK3RmCmrx8Nk62pSpC2CRgk29aIPAQIECDQtMBMX1g2nc/xCRAgQIDAYgoYKBdT02N1VWCmrx8Nk139zHDe0woYJKel8QECBAgQ6LjATF9YdpzH6RMgQIBAnwoYKPu0WKe1LAIzff1omFyWGhwkQcAgmdCSjAQIECDQpMBMX1g2mc2xCRAgQIDAUgsYKJda2OP3o8BMXz8aJvuxdec0JwGD5Jy43JgAAQIEOiww0xeWHaZx6gQIECDQIQEDZYfKdqoLFpjp60fD5IKJPUCqgEEytTm5CRAgQKApgZm+sGwql+MSIECAAIEmBAyUTag7ZprATF8/GibTGpV3UQQ233FHfeyjNyzKY3kQAgQIECBAgAABAgQIECAwWWDPE3snv+nPBDorMNMweUxnZZx4pwWuuPLKOvO1r61bb76ltm3dOm7xrssuq01XX1WDg4OdtnHyBAgQIECAAAECBAgQIDCzgCsmZzZyCwIzCbhiciYhH+97AU/p7vuKnSABAgQIECBAgAABAgQWTcAguWiUHqgDAjNdMWmY7MAngVOcnYCBcnZObkWAAAECBAgQIECAAIEuChgku9i6c16ogGFyoYLu3zkBA2XnKnfCBAgQIECAAAECBAgQmFbAIDktjQ8QmFHAMDkjkRsQmFrAQDm1i/cSIECAAAECBAgQIECgCwIGyS607ByXWsAwudTCHr/vBQyUfV+xEyRAgAABAgQIECBAgMBhAYPkYQp/ILBgAcPkggk9AIEJAQOlzwQCBAgQIECAAAECBAj0r4BBsn+7dWbNCcw0TB7TXDRHJpAlMDQ0VJv/6A+rN1B++o//uL7//f9Tv3/TTVknIi0BAgQIECBAgAABAgQIHCXwqds/VbfefHOdt3FjXfO+a2vse0AvBAgsrYDfyr20vh69jwV279pdxx53bA0ODvbxWTo1AgQIECBAgAABAgQIdENg7IrJ/d/dXydvOLkbJ+wsCSyDgCsmlwHZIbop4C+rbvburAkQIECAAAECBAgQ6E+BY4891ijZn9U6qxYL/FiLs4lGgAABAgQIECBAgAABAgQIECBAgECfChgm+7RYp0WAAAECBAgQIECAAAECBAgQIECgzQKGyTa3IxsBAgQIECBAgAABAgQIECBAgACBPhUwTPZpsU6LAAECBAgQIECAAAECBAgQIECAQJsFDJNtbkc2AgQIECBAgAABAgQIECBAgAABAn0qYJjs02KdFgECBAgQIECAAAECBAgQIECAAIE2Cxgm29yObAQIECBAgAABAgQIECBAgMDsBEb21rY7/kW9fcO6Wn/S2P9Or7dfd0/tODAyu/u7FQECyy5gmFx2cgckQIAAAQIECIQIHPUN3jl15cf/1Dd4IfWJSYAAge4IjNSBHXfUlf/wl+rqz6+oS+/9Su15Ym89vu1DNfjwv65LLvhXtc042Z1PB2caJWCYjKpLWAIECBAgQIDA8giM7L23rhr9Bu+KP3ym3nb4G7zr6/i/+PDoN3hX1+Ydw8sTxFEIECBAgMCLCjxfT2z5SP3Td9xQjxy/qe769L+rXxtaM36PFeveVpsuXle1/7P14du/Vq6bfFFIHyTQiIBhshF2ByVAgAABAgQItFdgbJS85tc/VFuGz6zr7/qPdcXhb/DeWh+988O1cXhLfewd19bmPc+39yQkI0CAAIEOCIxeKfnVW+ufvfc/1V/V2fWBm66pM1etmHTeL63TznpNrayDte/zD9ROy+QkG38k0A4Bw2Q7epCCAAECBAgQINAOgZFv1J3//CO1ZX/V4MWX1yXrVx6Za80F9d4rTqk6uL0+8cHP1B7f5B3p4y0CBAgQWD6BA1vrd6+5vf7q4HE1dN2/qd944d9Zk5Ps+2p99cmDk9/jzwQItEDAMNmCEkQgQIAAAQIECLRDYPTKk4c+XXc+9oPROGvqnAvOqlVHBXtpnf6WjbV29P0HH/uD+t3/8p2jbuEdBAgQIEBg6QWerm03fLT+ZP/o2Lj20vqdy0+tyddKLv3xHYEAgcUQMEwuhqLHIECAAAECBAj0hcBTtfWu+2v0YsmqgVfX637+uCnPasVpr6vXj19IeaC23vSZ2uGqySmdvJMAAQIElkpg9B/Stt5UH7r326MHWFUb3//OGrJKLhW2xyWwpAKGySXl9eAECBAgQIAAgSCB4e11/8MHJgKfsL7WHfFzuiadx8Ar6uRTDj3Fe9/W2rLzuUkf9EcCBAgQILDEAiO76rO3/LeJf0gbvLD+yZtPmOaAB+uv9+wtPxF5Gh7vJtACAcNkC0oQgQABAgQIECDQvMBIDf/5l+qR3o/fWr26Xj7t1SfH1/pTe0/y/pva9a1DY2bzJyEBAQIECHRAYGTn5+oz4z92ZKDWXvyrde50/5BWP6y9u/73hMjAqlr9MhNIBz49nGKYgP8qwwoTlwABAgQIECCwNAJ/W0/u/vbo7y2deFl56sn1imkP9OO1as3LDn30QH35L795+H7T3sUHCBAgQIDAogg8XQ/ffX/tG3+sdXXRW141/c+WHNlTj355eOKoL/ZMgEXJ5UEIEJiPgGFyPmruQ4AAAQIECBDoO4H/WweGvz/Lsxqol6/+ycO3HRl+pmZ7z8N38gcCBAgQIDAfgeFH6j/fN/azJUdf1m6s809/6cSfp/j/kZ0P1Bf2TfyT28DPbagTp30mwBR39i4CBJZF4JhlOYqDECBAgAABAgQItFzgb2rPN3pPyV5ZGza8ogZmmfjg08M18Xu8Z3kHNyNAgAABAvMSeMGPHdn3ybpk/Sdn8Ugr69SzT6s1s7ilmxAgsLwChsnl9XY0AgQIECBAgAABAgQIECBAYF4CT9VDX3z00I8POaU23XdfXTc03RWT36k/ffdF9cEHx/7R7cR6w2vXzuuI7kSAwNIKeCr30vp6dAIECBAgQIAAAQIECBAgQGAxBEa+W7u/+cOJR5rhadw1vL3uf/jQMwFmuu1iZPMYBAjMS8AwOS82dyJAgAABAgQI9JvAsbX6p1fO8qQm/ZbT0Xu8+C/KmeVDuhkBAgQIEJhJ4MnH6suHfmbkyje8rk6b9mdGTn7K96ra+P531tC0t53poD5OgMBSChgml1LXYxMgQIAAAQIEYgRW1bpTjj+U9vnateuvZ/mbtgfqp0Z/Q7cvKmOKFpQAAQKhAqNj42OP1jfG06+qN/zCz03/s5BHdtV9d22f+Hts4Ky68E0nhJ6z2AT6X8DXkP3fsTMkQIAAAQIECMxC4CfqxJN/9vA3eS/+m7afq2eGnz/0mH+vTjn575cLUWZB7CYECBAgsACB/1c/+N6BQ/9odnxteOWqaR9rZOfn6jOPjf1atoFae8Wm+uU1/paaFssHCDQsYJhsuACHJ0CAAAECBAi0Q2BFrTnjrDr1UJjeb9qeMtvkn/FVG+oXzvjpKW/mnQQIECBAYPEEJv0YkZWvqbNOm+6X3jxXO/9sa+0bO/DAm+o3r3iNfzxbvBI8EoFFFzBMLjqpByRAgAABAgQIhAqceE697YzjJsJ//dF6bHhk6hM58O3a9dTB8Y8NnHF+nXfiwNS3814CBAgQILBoAj9eq0Z/dMj4y0+trlXTrRnDX6o/2Pz46M2Oq6HrfsvVkovm74EILI3AdP8pL83RPCoBAgQIECBAgEB7BVZsqIsvPXvi6dwHv127n/zbKbOOPLmrHh/fJVfVOZdeVOs9Q25KJ+8kQIAAgcUUGKiXr/7JiQdcvbpePuXfPc/Vjs2319bRv6MGTr+srv+1Da6WXMwKPBaBJRAwTC4BqockQIAAAQIECGQKjD6d++2/VR8Yv2pyb33u7r+oA0edyN89RW7gjPfWv3z7zxx1C+8gQIAAAQKLLzBQ/+C1Z9basQd+fHftnbhw/4jDjOy5qz46drXkwNn1gZuuqTNXTbleHnEfbxAg0KyAYbJZf0cnQIAAAQIECLRLYMWp9Rs3vq+GBg7W/vv+qD67p/dLbiZiHvFN343vdLVku9qThgABAn0tsGLonfWbbx79pTfP/2X990eePvJcR75Rd37w5tpRQ7XpnlvqivUrj/y4twgQaKWAYbKVtQhFgAABAgQIEGhOYMX6y2vzPdfWq2t7feL9H68H9o6NkyN1YMcdddWlN9aONefX9ff6pq+5hhyZAAECXRX4mfrlD11f5w9+p/7kt3+nNu8YHocY2bul/v17rqyPfefs0b+f7qjrzlzTVSDnTSBO4CU/Gn2ZS+r1J62rPU/snctd3JYAAQIECBAgQCBQYGTvtvr0vXfV5tserP1j+QffXJvec2m947Lz6iTPjgtsVGQCBAj0h8DY30933vYf6hP37qzxZ3T7+6k/inUWfSkw045omOzL2p0UAQIECBAgQIAAAQIECBAgQIAAgWYFZhomPZW72X4cnQABAgQIECBAgAABAgQIECBAgEAnBQyTnazdSRMgQIAAAQIECBAgQIAAAQIECBBoVsAw2ay/oxMgQIAAAQIECBAgQIAAAQIECBDopIBhspO1O2kCBAgQIECAAAECBAgQIECAAAECzQoYJpv1d3QCBAgQIECAAAECBAgQIECAAAECnRQwTHaydidNgAABAgQIECBAgAABAgQIECBAoFkBw2Sz/o5OgAABAgQIECBAgAABAgQIECBAoJMChslO1u6kCRAgQIAAAQIECBAgQIAAAQIECDQrYJhs1t/RCRAgQIAAAQIECBAgQIAAAQIECHRSwDDZydqdNAECBAgQIECAAAECBAgQIECAAIFmBQyTzfo7OgECBAgQIECAAAECBAgQIECAAIFOChgmO1m7kyZAgAABAgQIECBAgAABAgQIECDQrIBhsll/RydAgAABAgQIECBAgAABAgQIECDQSQHDZCdrd9IECBAgQIAAAQIECBAgQIAAAQIEmhUwTDbr7+gECBAgQIAAAQIECBAgQIAAAQIEOilgmOxk7U6aAAECBAgQIECAAAECBAgQIECAQLMChslm/R2dAAECBAgQIECAAAECBAgQIECAQCcFDJOdrN1JEyBAgAABAgQIECBAgOUtM2UAAAT2SURBVAABAgQIEGhWwDDZrL+jEyBAgAABAgQIECBAgAABAgQIEOikgGGyk7U7aQIECBAgQIAAAQIECBAgQIAAAQLNChgmm/V3dAIECBAgQIAAAQIECBAgQIAAAQKdFDBMdrJ2J02AAAECBAgQIECAAAECBAgQIECgWQHDZLP+jk6AAAECBAgQIECAAAECBAgQIECgkwKGyU7W7qQJECBAgAABAgQIECBAgAABAgQINCtgmGzW39EJECBAgAABAgQIECBAgAABAgQIdFLAMNnJ2p00AQIECBAgQIAAAQIECBAgQIAAgWYFDJPN+js6AQIECBAgQIAAAQIECBAgQIAAgU4KGCY7WbuTJkCAAAECBAgQIECAAAECBAgQINCsgGGyWX9HJ0CAAAECBAgQIECAAAECBAgQINBJAcNkJ2t30gQIECBAgAABAgQIECBAgAABAgSaFTBMNuvv6AQIECBAgAABAgQIECBAgAABAgQ6KWCY7GTtTpoAAQIECBAgQIAAAQIECBAgQIBAswKGyWb9HZ0AAQIECBAgQIAAAQIECBAgQIBAJwUMk52s3UkTIECAAAECBAgQIECAAAECBAgQaFbAMNmsv6MTIECAAAECBAgQIECAAAECBAgQ6KSAYbKTtTtpAgQIECBAgAABAgQIECBAgAABAs0KGCab9Xd0AgQIECBAgAABAgQIECBAgAABAp0UMEx2snYnTYAAAQIECBAgQIAAAQIECBAgQKBZAcNks/6OToAAAQIECBAgQIAAAQIECBAgQKCTAobJTtbupAkQIECAAAECBAgQIECAAAECBAg0K2CYbNbf0QkQIECAAAECBAgQIECAAAECBAh0UsAw2cnanTQBAgQIECBAgAABAgQIECBAgACBZgUMk836OzoBAgQIECBAgAABAgQIECBAgACBTgoYJjtZu5MmQIAAAQIECBAgQIAAAQIECBAg0KyAYbJZf0cnQIAAAQIECBAgQIAAAQIECBAg0EkBw2Qna3fSBAgQIECAAAECBAgQIECAAAECBJoVMEw26+/oBAgQIECAAAECBAgQIECAAAECBDopYJjsZO1OmgABAgQIECBAgAABAgQIECBAgECzAobJZv0dnQABAgQIECBAgAABAgQIECBAgEAnBQyTnazdSRMgQIAAAQIECBAgQIAAAQIECBBoVsAw2ay/oxMgQIAAAQIECBAgQIAAAQIECBDopIBhspO1O2kCBAgQIECAAAECBAgQIECAAAECzQocM5fDrz9p3fjNe6/ncl+3JUCAAAECBAgQIECAAAECBAgQIECAQE/gJT8afem94TUBAgQIECBAgAABAgQIECBAgAABAgSWQ8BTuZdD2TEIECBAgAABAgQIECBAgAABAgQIEDhCwDB5BIc3CBAgQIAAAQIECBAgQIAAAQIECBBYDgHD5HIoOwYBAgQIECBAgAABAgQIECBAgAABAkcIGCaP4PAGAQIECBAgQIAAAQIECBAgQIAAAQLLIWCYXA5lxyBAgAABAgQIECBAgAABAgQIECBA4AgBw+QRHN4gQIAAAQIECBAgQIAAAQIECBAgQGA5BAyTy6HsGAQIECBAgAABAgQIECBAgAABAgQIHCFgmDyCwxsECBAgQIAAAQIECBAgQIAAAQIECCyHgGFyOZQdgwABAgQIECBAgAABAgQIECBAgACBIwT+P/kpOgUCW1g/AAAAAElFTkSuQmCC" alt></p>
<p>(ii) The wavelength of the light is 480 nm. The slit width is 0.1 mm and its distance from the screen is 1.2 m. Determine the width of the central diffraction maximum observed on the screen.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Judy looks at two point sources identical to the source S<sub>1</sub> in (a). The distance between the sources is 8.0 mm and Judy’s eye is at a distance <em>d</em> from the sources.</p>
<p>Estimate the value of <em>d</em> for which the images of the two sources formed on the retina of Judy’s eye are just resolved.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The light from a point source is unpolarized. The light can be polarized by passing it through a polarizer.</p>
<p>Explain, with reference to the electric (field) vector of unpolarized light and polarized light, the term polarizer.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about resolution.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two point sources S<sub>1</sub> and S<sub>2 </sub>emit monochromatic light of the same wavelength. The light is incident on a small aperture A and is then brought to focus on a screen.</p>
<p><img 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" alt></p>
<p>The images of the two sources on the screen are just resolved according to the Rayleigh criterion. Sketch, using the axes below, how the relative intensity <em>I</em> of light on the screen varies with distance along the screen <em>d</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A car is travelling at night along a straight road. Diane is walking towards the car. She sees the headlights of the car as one single light. Estimate, using the data below, the separation <em>d</em> between Diane and the car at which, according to the Rayleigh criterion, Diane will just be able to see the headlights as two separate sources.</p>
<p>Distance between the headlights = 1.4 m<br>Average wavelength of light emitted by the headlights = 500 nm<br>Diameter of the pupils of Diane’s eyes = 1.9 mm</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The light from the car headlights in (b) is not polarized. State what is meant by polarized light.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about diffraction and resolution.<br>Monochromatic light is incident on a narrow rectangular slit.</p>
<p><img 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" alt><br><br>The light is observed on a screen far from the slit. The graph shows the variation with angle <em>θ</em> of the relative intensity for light of wavelength 7.0×10<sup>–7</sup>m.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the width of the slit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the graph, sketch the variation of the relative intensity with <em>θ</em> when the wavelength of the light is reduced.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain, with reference to your sketch in (b), whether it is easier to resolve two objects in blue light <strong>or</strong> in red light.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 34">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about laser light.<br> </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Laser light is monochromatic and coherent. Explain what is meant by</p>
<p>(i) monochromatic.</p>
<p>(ii) coherent.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A beam of laser light is incident normally on a diffraction grating which has 600 lines per millimetre. A fringe pattern is formed on a screen 2.0 m from the diffraction grating.</p>
<p><img 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9LXyB3SAZ0HrEChi8cB7BpzGdoPzXV18o9tHonz0jvg0rvWu8/vwMa7urnelnSYvhW/BHO+01/x1KdVIxqOJXfikvR0yL018zFksb9nsPjJC5BWMB8Tsjuj65h3saX1Q3h49v0Y2CYZ2JGLF+fuRrNRPdDW5WcKTrr+n3j31Xtxp+uPtxw8AW3umIDHcl/B/B4neQwPJ6Nx90fw8p1t0Wj1g+h77eN4vsFtGNvlOOx/8zpkdboPL++pyp7lkPOZI/FCiZozI4JuKl7PnYCJN/+AjwYKz3Rknf0MXm/5AOZtfgGPuRdFrJrs17Uuy84zsOrYtwE5x+WjyEqRAAmQAAn4J+BabHc1lsv/r+X/cziAPTKB/OqcOhO+gZ9QdvgX/7ZCPhNqJICJiImQfeMNcU2gZrFz7pEACViBQGZamhXcoA8kQAIkQAIaCAT/N/2AsXPVOOORnpmG3JN53SvGJoc48KOx5ZnzXMfajV1rHPDp0zGjfNki48Nf3Sd/fc+YcW6akZk2wphZrA7W3Phr3gijS60yas5V75W/Z7y+4YhH+WcZF8/baRyrvsBzJ4Ty6/HN0yr345MARz7iWlqyciRAAiRAAiRAAtYkUIbNT7xSk1EKLZBx5eOYuHQqhrpG+7ci778yAq/CkgHHklmYtNl77qHEVX+DFTtaokOQGRcbZnTBla5orzmYMP9rH6HQDhzesAFFzcSgKl/mkj6PJz3mV9Zw3Ye8j/8HRl3VEOGefwIUH/7Z8AwJkAAJkAAJkAAJRIxAUnIuFnknMkm9EJdc1gRIaYbfHy/dNAkbHoZRrrTvVXMPc1YV1AgGZyHynpiBrVd2gORmrL35CZVq3Ae3jTy1KszrqaEYWGuhwkqUbHoaI18/G9en/bZ2+ZKC96YHkbN4M3ar7I+y8OHfJ2LhBZd6Zc6q7Ql/kYAiQPGhSPCbBEiABEiABEiABKJIoEGjEqwacDsGzc1zd+Yd+Cl/FmbPBTIevwM3qqGEpAtw66zhrsyLqFyLVSN6o6vKUpV5A3J+uQXDzmnq9tyBnwq3IN81qVJlrPKuVCrSBr+Il/qLXHHPM+ne3p20pQMunQhcMaUXMlQvUcqf/TD+LCMyUv5jA3BNpjvjVeYNGPndTRh7/anueZaBEqsEOuftI3/HK4EGEk0Wr5VjvUjAjgRknQ/JPMKNBEiABEjA/gT8/02XsKu3YdybhcMrXscbT6/E+kogOXs4hv3lz7hLLTzogcC5byVyX5uJifN2Q1K4yLV39u2JW3tlVi3851rh/GoMeNk7O1Y6ei5cjOmdVfpet1EZNVnyGt5ZsBRvuJKuSNKW+3DPbb3Rs1XdVbJc5b/zOua7Vk8HkNIdPR8egrtv7Iy2LqEiK6z7KL/JcEzf0Be/DOuNMR/XpJpxedF9Kt55uY87kYxHZbkbtwQoPuK2aVkxuxLw/z8qu9aIfpMACZBA4hLg3/TEbXvW3DcBNaDm+yyPkgAJkAAJkAAJkAAJkAAJkIAmAhQfmkDSDAmQAAmQAAmQAAmQAAmQQGACFB+B+fAsCZAACZAACZAACZAACZCAJgIUH5pA0gwJkAAJkAAJkAAJkAAJkEBgAhQfgfnwLAmQAAmQAAmQAAmQAAmQgCYCFB+aQNIMCegiwDS7ukjSDgmQAAmQAAmQgNUIUHxYrUXoDwmQAAmQAAmQAAmQAAnEKQGKjzhtWOtXS1ZxfQLDOqSj/fBc7HJa32N6SAIkQAIkQAIkQAIkYI4AxYc5frybBEiABEiABEiABEiABEggSAJc4TxIULwsXAIVyF+4Eb8ZcBnahmuC95EACZAACZCATQlwhXObNhzdjhgBjnxEDC0NuwgczsXsxYcJgwRIgARIgARIgARIgARA8cGHIHIEnLuw7qlZ+OCk5MiVQcskQAIkQAIkQAIkQAK2IUDxYZumspmjzkJsnpaD+5aW2sxxuksCJEACJEACJEACJBApAhQfkSIbc7sOVOQvxhtTrkan9HRIzGlW70cx4f1dKKvjW9W1/3ztMYzt0QG939oLZ/EKvPpQV2Sld0DXsWuw252NyrlvJZZ52pTzY17BonyP0KqK9XhlyA0Y+PfdqJSy1j6Ia1w+dHbZlkNiZ/5LMzBfyhiai93VPpVi1zuz8Mbs23Bt+ki8UHLMde0y12+px0XoPeUD5FX4SY9VsQmrF450ZdFy1Tm9HwbNXuP/+upyuUMCJEACJEACJEACJBBpAg0jXQDtx4KApLGdjPv6LcTX/V7Akp090DapFAVLH8AD916DrtUuNUGbKcuw/JSp6DFgJarkQxO0OZiHWW+mYfCjk+AsHYGntudj98/dcUb5ixhx9Uys6/IY5m69Been/oL9G8dj3NBJmLDyS/z43hTc06oRkJqNwfO2Y3DJTAzLnon13afinZf71Ew4P7wQ464ej6UuZQKgu3KoAoXzbkbfKd+7D1yOc7cuwhMFbXHLyNfw9rD92Dr1RgyY8yByfvMPvHP/uWiubpVvET0jRuCpAzfhsVU7MLtlMip2zsJTOfdg0DRHzZXe/tSc4R4JkAAJkAAJkAAJkEAECXDkI4JwY2bamYc3xyzEJ43+jHse6o62rlZugfT+E3H/DakATkDGlNXYUbAZK/qdjIadn8Omgo1YOFS68uXY8+4RdLn7T0h1i4j8FfegZ+rP2PN+LtZUNsHpV3XD+aliNAUnnj8cN/dKBSq/wOadR4KrcuMBmLB9B9ZObud1fSrS7liN/H8/jv4pcqoERb/tgbE5F7jrcCI63dof2ahE2eJPkXfM8/YKFC6ZiKc+bY4uOXfi5paNACQjNXM4HnygC8Rc8mVTsXxnAfI9hZCnCe6TAAmQAAmQAAmQAAlElADFR0Txxsa4s/AD5OY7gDat0cYlEpQfrXB2jz8hBQewe+t/fIRfyXVN0ObWHuhS58lIwR9Pa4UUtEbaKb9TBgGk4ne/l45+BX4sV0MZHqf97jbCH049FY19nT+uOVwmcQrOOfME1Jqu3qItspqIRirC7lIP9eH8Chty9wE4BW1OPt7DajIad74CvVMAx2dfYKu/cC2PO7hLAiRAAiRAAiRAAiQQGQIMu4oMV2tY/eEgymRqRLWQSMZxjZviNwAqS8tRDqBF0J4mo3GPBdhaoG6QeSJLsSr3VUyaJ7NIRBFYYSvDwcMeokRcUmKm/CB+/MkJNK4GYgWH6/jAnPB1kPAACZAACZAACZBAnBCwdi8sTiBHuxpJaVegT1YyUL4VeXv+51G8Az8fPoRfkYIW52eitceZ4HcrUbJxJqbf0QnnT9uP4j89jmmucK3gLUTkyqQ/4YI+rQD8gC079sFjhgfwcxl+PAqgfSd0+SP1dkT40ygJkAAJkAAJkAAJBEGA4iMISLa7JOkC3Dr7Yfy5zWYsun86FpVIz9vhmnw99Zk8VKb/FX/rn1Y7nCmYSlZswPKHLsOlQ3dg352rsH3OKIzoleY7dCoYe1qvSUXa4BfxUv9UlE5+GEPWFFcJEPH5yVlYWtkRPR/u6yOcTKsTNEYCJEACJEACJEACJBCAAF8DB4Bj51NJLftj6H1bULTuv1jfsz0muKZjtEeX+17Aglu7o0utuSDB1HQ/tr70EB5e1gAZU8biqfNbhi5eginGzDVJGbjknqHo8f3XOG3hVWh/l1Q6Bc375eCx3H64OcvnDBMzJfJeEiABEiABEiABEiCBEAhQfIQAyz6XOlCxeSz+vLov3nyqO1o8OcO868e+wCdL9gMpt+DPl51sPeEhNaxYgek37EbXlZNxc+On8KD5WtMCCZAACZAACZAACZCARgIMu9II0zKmKlZi7tgP4Djhd2GIhKM4XP5T7TkTnhWrdE/a9jxW337poaqJ7/VdZ+q8jMw8jbnNTkAzPtWmSPJmEiABEiABEiABEogUAXbTIkU2lnaPFGHnt0dR9vIt6KpWN/f6bv/Xl/FuscwFcW8VX+HLryVMqRJle0rqpuFt2A4dL5c1QtZh0Qvrq1Y8r9iED8Y9hDnb5b4q0XKseDEmrZKUtwCOb44TZIGNPduRJ/NOKlZiwvg8t+39+HLdF1ULG25cj1X7lC8OVHzxIdZIKi5sweoN7rkbLoOBzv2IH3aVAQXPI6dTZtWK7l51zuowFA9sLPEvrFxl8D8kQAIkQAIkQAIkQAKRItDAMAwjUsZpN1YE3KuZj92AwkAupI/A9MXDcVl+DrpWr3Bec0OjuxZjc04nyCoerk0mb098AA8vK5XUUehy3924+9ZsnJk/GrcMWIHC9D/j5ntvxT1XZrhXHq90r4D+FtZXtkeX0WPw6B1d0Pa/7pXPlV3Xt6y2vgATiu7AgJclda/H1mQ4pm/oi1+G9caYj5VIcZ+vXq28akL9Uzmz8MaeWrmuPAzJbkf0XDgH0ztbJTWwl3uASzjlF1TnNK57AY+QAAmQAAnYhgDTp9umqeholAhQfEQJdHSLqUTJh2Pwt0P3Y27/U32EXkm63LlY+Oxb2Df6HUzvLCMa9t+cJa/injG/w8j51yHDx5iec99K5L42ExMbPYGN93mIKotVnf+jsliD0B0SIAESMEGAf9NNwOOtcUnARxctLuuZUJVy7puLe2ZdgjHX+xIegiIFLc8figE3nhE/XJxfYfnwjThzUi+fwkMqmtTqKlw36Cq0/oWDffHT8KwJCZAACZAACZCAnQhQfNiptYLx1fkV3hk/H6XXtkfbgK17FIf/359wZdZxwVi1+DWVKF42Do85z0eXltVBYj59dpY3wjk92tSEkvm8igdJgARIgARIgARIgAQiQSBg9zQSBdJmhAlUfIktmypQtnln1aRwP8U5967ER+cORs+Q1/vwYzCmh0tRuKUIjm+3VU1s9+eL82u8+1FnDOvS1N8VPE4CJEACJEAC2gisW7dOmy0aIoF4IUDxES8tqerR+AoMuDcDjVY/iOuHzsDz7+6snbnKWYhNc2bi5b0X4c7O8dIJb4Vzb+uHbKzAi1ffi5yFHyGvwqmIuDJ4lWyYixf+cQRZwzq5J8N7nOYuCZAACZAACWgk8Morr6Bbt27o27evRqs0RQLxQYATzuOjHb1q4UBF/lKsWv8uXp22qSbjVUp39BzdC1d264merQKHJ3kZtMdPSf277F188vpSj4xXJ6DNHcPRq1t33GnFVdl9kOXkRB9QeIgESIAEbEBARMe4ceNcnsr34MGDmcHQBu1GF6NLgOIjurxZGgmQAAmQAAmQQBwROHToEGbMmAERHk2bNsWoUaNcokNVkS+UFAl+k0AVgYYEQQIkQAIkQAIkQAIkEBoBJTpEeHTs2NElPiTUihsJkEBgApzzEZgPz5IACZAACZAACZBANYFvv/3WNbLRrFkzyP7y5cshE8spPKoRcYcEAhKg+AiIhydJgARIgARIgARIANi2bZtLdLRu3dqFo6ioiKMdfDBIIAwCFB9hQOMtJEACJEACJEACiUFAjWrIyMbpp58OJTpknxsJkEDoBDjnI3RmvIMESIAESIAESCDOCcgEcvnIiIdMIpfwKplQzo0ESMAcAYoPc/x4NwmQAAmQAAmQQBwR8JUuN46qx6qQQMwJUHzEvAnoAAmQAAmQAAmQQCwJqMxVKl2uWqMjlj6xbBKIVwIUH/HasqwXCZAACZAACZBAQAJKdDBdbkBMPEkCWglwwrlWnDRGAiRAAiRAAiRgdQJMl2v1FqJ/8UyA4iOeW5d1IwESIAESIAESqCbAdLnVKLhDAjEjQPERM/QsmARIgARIgARIIBoEvNPlHjx40JXJiulyo0GfZZBAbQKc81GbB3+RQMwJZKWnI7+gIOZ+0AESIAESsDsBlS5XhVkxXa7dW5T+xwMBio94aEXWgQRIgARIgARIoJoA0+VWo+AOCViOAMWH5ZqEDpEACZAACZAACYRKQGWuEuEh4VRMlxsqQV5PAtEhQPERHc4shQRIgARIgARIIAIElOhgutwIwKVJEogAAU44jwBUmiQBEiABEiABEogsATWPo1mzZpB9mVSuJpZHtmRaJwESMEq06KwAACAASURBVEOA4sMMPd5LAiRAAiRAAiQQVQIiMAYPHozWrVu7yi0qKnJlrurYsWNU/WBhJEAC4RGg+AiPG+8iARIgARIgARKIIgE1qtG3b1/XnA6my40ifBZFAhoJcM6HRpg0RQIkQAIkQAIkoJeATCCX+Rwyt0NGPJguVy9fWiOBaBOg+Ig2cZZHAiRAAiRAAiRQLwGmy60XES8gAVsSYNiVLZuNTpMACZAACZBA/BGQ0Q1Jkdu0aVPXPA7ZVxPL46+2rBEJJCYBjnwkZruz1iRAAiRAAiRgGQIiMFR4lUwcl9Cqbt26WcY/OkICJKCPAEc+9LGkJRIgARIgARIggRAIqFENyVzFdLkhgOOlJGBjAhQfNm48uk4CJEACJEACdiTAdLl2bDX6TAJ6CFB86OFIKyRAAiRAAiRAAvUQYLrcegDxNAkkAAHO+UiARmYV7UUgv6DAXg7TWxIgARKoh4Caz8F0ufWA4mkSSAACFB8J0MisIgmQAAmQAAnEggDT5caCOsskAWsTYNiVtduH3pEACZAACZCArQgwXa6tmovOkkDUCXDkI+rIWSAJkAAJkAAJxB8BpsuNvzZljUggEgQ48hEJqrRJAiRAAiRAAglCgOlyE6ShWU0S0ESA4kMTSJohARIgARIggUQioNLlyqKAshUVFbkWClS/E4kF60oCJBA8AYqP4FnxShIgARIgARJIeALe6XJVuNXpp5+e8GwIgARIoH4CnPNRPyNeQQIkQAIkQAIJT8AzXe6oUaOwfPlyNG3aNOG5EAAJkEBoBCg+QuPFq0mABEiABEggoQgwXW5CNTcrSwIRJ0DxEXHELIAESIAESIAE7EVA0uXOmDHD9ZE5HLLft29fe1WC3pIACViSAMWHJZuFTpEACZAACZBA9Amo+RsiNkR0SGhVt27dou8ISyQBEohbApxwHrdNy4qRAAmQAAmQQHAEvNPlbtu2DWpieXAWeBUJkAAJBEeA4iM4TryKBKJGICs9PWplsSASIIHEJiACQ8KpVHpclS6XmasS+7lg7UkgkgQoPiJJl7ZJgARIgARIwIIE1KiGEh4q3Iqiw4KNRZdIIM4IcM5HnDUoq0MCJEACJEAC/gh4Zq5iulx/lHicBEggkgQoPiJJl7ZJgARIgARIIMYEJHOVTBwfN26cyxP5Hjx4cIy9YvEkQAKJSoDiI1FbnvUmARIgARKIawJMlxvXzcvKkYBtCVB82Lbp6DgJkAAJkAAJ1CUg8zckVa6EWDFdbl0+PEICJBBbApxwHlv+LJ0ESIAESIAEtBDwTJcrox5Ml6sFK42QAAloJkDxoRkozZEACZAACZBANAkwXW40abMsEiABswQoPswS5P0kQAIkQAIkEAMCTJcbA+gskgRIwDQBzvkwjZAGSIAESIAESCB6BJguN3qsWRIJkIB+AhQf+pnSIgmQAAmQAAloJcB0uVpx0hgJkEAMCVB8xBA+iyYBEiABEiCBQASYLjcQHZ4jARKwIwGKDzu2Gn0mARIgARKIawJMlxvXzcvKkUBCE+CE84RuflaeBEiABEjASgSYLtdKrUFfSIAEIkGA4iMSVGmTBEwQyC8oMHE3byUBErAjAabLtWOr0WcSIIFwCFB8hEON95AACZAACZCABgJMl6sBIk2QAAnYigDnfNiquegsCZAACZBAPBDwTJc7btw49O3bF02bNo2HqrEOJEACJBCQAMVHQDw8SQIkQAIkQAJ6CDBdrh6OtEICJGBvAhQf9m4/ek8CJEACJGBxAt7pcmXUo1u3bhb3mu6RAAmQQGQIcM5HZLjSKgmQAAmQQIITkMxVo0aNwumnn45t27Zh+fLlUHM8EhwNq08CJJDABCg+ErjxWXUSIAESIAH9BHylyxXhwdEO/axpkQRIwH4EKD7s12b0mARIgARIwIIEPNPlyuTxoqIiSIiVjHxwIwESIAESqCJA8cEngQRIgARIgARMEFCjGpKxqmPHjlCrk1N0mIDKW0mABOKWACecx23TsmIkQAIkQAKRJMB0uZGkS9skQALxSoDiI15blvUiARIgARLQTkAyV4nomDFjhsu2rNExePBg7eXQIAmQAAnEKwGKj3htWdaLBEiABEhAGwGmy9WGkoZIgAQSnADnfCT4A8DqW49AVnq69ZyiRySQoARU5iqmy03QB4DVJgES0E6A4kM7UhokARIgARKwOwElOlq3bu2qilqng+ly7d6y9J8ESCDWBCg+Yt0CLD9kAtIJkBAIbiRAAiSgm4BaBFCyVjFdrm66tEcCJEACAMUHnwLbEZAJnpLakhsJkAAJ6CLgmS5XRjeYLlcXWdohARIggdoEKD5q8+AvGxCQXPoq04wN3KWLJEACFiagFgEcNWqUK2uViA55wSGjHtxIgARIgAT0E2hgGIah3ywtkkBkCUjHQMKv4nERL5lwnl9QEFmAtE4CCUyA6XITuPFjUHX+TY8BdBZpaQIc+bB089A5fwQ4+uGPDI+TAAn4IyCiQ0Y15KWFhFnJqIeaWO7vHh4nARIgARLQS4DiQy9PWosSAVnUi/M+ogSbxZCAzQkogcF0uTZvSLpPAiQQFwQoPuKiGROvEirdpWSm4UYCJEACvggo0cF0ub7o8BgJkAAJxIYAxUdsuLNUDQQk9ErCJriRAAmQgCcBpsv1pMF9EiABErAWgYbWcofekEDwBCQ7jeTilzhuZqYJnhuvJIF4JSChmJIJT5JRyN8H+c2/DfHa2qwXCZCAXQlw5MOuLUe/XZNG1cRR4iABEkhcAt7pctXEcgqPxH0mWHMSIAHrEqD4sG7b0LMgCKi3m0FcyktIgATiiIAIDBnlkBcQ8i1ZrNQcjziqJqtCAiRAAnFHgOIj7po0sSok8z5yc3NdnY7EqjlrSwKJSUCNaqhRTxn1kDAryYDHjQRIgARIwPoEKD6s30b0MAABCavo06dPXKXd5QKDARqcpxKWgBrVENEh+zKfQ00sT1gorDgJkAAJ2JAAxYcNG40u1yYgbzyZ9ao2E/4igXghoESHZ7pc+feu0m3HSz1ZDxIgARJIFAIUH4nS0nFcTwm9kg6KhF5wIwESiA8CalRDMtrJaEdRUZHrJYPscyMBEiABErAvAYoP+7YdPfcgwDU/PGBwlwRsTECNasi/aRndkBcLMpmcosPGjUrXSYAESMCDQAPDMAyP39wlAVsSkFEP6ajIZFRuJEAC9iMgokNEhmzyzQnk9mtDeuybQFZ6OjiXzzcbHk1MAhz5SMx2j7taS2iGTD6XSajcSIAE7EHAM3MV0+Xao83oJQmQAAmYJUDxYZYg77cMAa75YZmmoCMkEJCAp+iQuR0y6sF0uQGR8SQJkAAJxA0Bio+4aUpWRGLEFyxYwNArPgokYFECKnNVs2bNmC7Xom1Et0iABEgg0gQoPiJNmPajRkAmpGZnZzP0KmrEWRAJBEdAjWqodLkqcxXT5QbHj1eRAAmQQDwRoPiIp9ZkXVyTVCWEgxsJkEDsCah0uSIymC439u1BD0iABEjACgQoPqzQCvRBGwEJvZK3rBLewY0ESCA2BJguNzbcWSoJkAAJ2IEAxYcdWok+Bk1AMl5xzY+gcfFCEtBKQESHjHCoVLlqYrn8u+RGAiRAAiRAAkKA4oPPQdwRsLv4kJzw3EjALgSUwBDRwXS5dmk1+kkCJEACsSNA8RE79iw5QgREfMgm4VfcSIAEIkPAU3QwXW5kGNMqCZAACcQjAYqPeGxV1skVeiVvYbmRAAnoJcB0uXp50hoJkAAJJBoBio9Ea/EEqe/gwYOZcjdB2prVjA4BpsuNDmeWQgIkQALxToDiI95bOEHr17FjR9fEV6bdTdAHgNXWRoDpcrWhpCESIAESIAFOOOczEM8EOPoRz63LukWaANPlRpow7ZMACZBAYhJoYBiGkZhVZ63jnYBMiG3WrBkOHjwIO6X6lGxX+QUF8d48rJ9FCYjokFS5sqmUuRZ1lW6RgC0I8G+6LZqJTkaRAMOuogibRUWXgAiOPn36gKFX0eXO0uxHwDNzlRIfamK5/WpDj0mABEiABKxMgOLDyq1D30wTsPuaH6YB0AAJBCDgKTpUulz5lpBFbiRAAiRAAiQQCQIUH5GgSpuWISCdKHmDKx9uJEACVQTUqIaEJcq+CA41sZyMSIAESIAESCCSBCg+IkmXti1BQEY/uOaHJZqCTsSYgL90uZIdjhsJkAAJkAAJRIMAxUc0KLOMmBJg1quY4mfhFiCgRjW6devmSkEtSRhkbsfpp59uAe/oAgmQAAmQQCIRoPhIpNZO0LpKh0u25cuXJygBVjtRCYjAkOdfBLh8S4iVZLCyU/a3RG071psESIAE4pUAxUe8tizrVYsARz9q4eCPOCegRjVUqlyKjjhvcFaPBEiABGxEgOt82Kix6Gr4BKTzJXHt8s23vuFz5J3WJSCZq2Ruk3zkWRfBLR9uJEACsSXAdT5iy5+lW48ARz6s1yb0KAIEJLZdPgy9igBcmowpATWqIc+3zO2QZ1y+KTxi2iwsnARIgARIwA8Big8/YHg4/giMGjWK4iP+mjVhaySiQwRG69atmS43YZ8CVpwESIAE7EeA4sN+bUaPwyQgKXdzc3NdHbUwTfA2Eog5ATWqIaJDtqKiIlfmKqbLjXnT0AESIAESIIEgCFB8BAGJl8QHAZnrMWjQII5+xEdzJlwtVLpcEdESYsV0uQn3CLDCJEACJBAXBCg+4qIZWYlgCXDBwWBJ8TqrEJDMVWoCOdPlWqVV6AcJkAAJkEC4BJjtKlxyvM+2BGQERN4iM0zFtk2YEI6L6JBUubKplLkJUXFWkgTijACzXcVZg7I6pglw5MM0QhqwGwGZpCsdO24kYDUCki5XLQKoxIeaWG41X+kPCZAACZAACYRDoGE4N/EefQQaNGigzxgtBU2gSZMmrvUQgr6BF5JABAmIwBCxodbokHS5EmLFjQRIgARIgATijQBHPizQooZhIJxPhw4dsGzZsrDu9SxP7MyfP98ydrKzs7X406dPH0yfPt1nvST0imt+WODhT3AX1KgG0+Um+IPA6pMACZBAAhHgnI8YN7aMfIgQCHXbtm2b682ohGmY2aTzI3MfdNkRe2ZWEJf7pSMmmXwiaUfeMMu8DwoQM08P7w2XgDx7MtKxYMECVwY2CbWSDFbcSIAE4o8A53zEX5uyRuYIcOTDHL+Y3S0dF8ncZHaTTrgOO8ofM4JB6iJiQNLh6rAjIx/+7EidZc0Ps6LLLH/en1gEmC43sdqbtSUBEiABEqhLgOKjLhNbHJHOvqzYbXaTzr4OO0p8mPVHpxiSieX+NnnLLOKEIx/+CPG4TgLy74PpcnUSpS0SIAESIAG7EqD4sGHLSYdZ3uibTRWrOt5m7cjbXNnMjqBIKJmMROiwI+Fb9dmR8yJ2rLbJED23+CAgokOEroRViciX51Jls4qPGrIWJEACJEACJBAaAYqP0HhZ4mpdoxViJ9DoQLCV1TnqEU1/RHxIZ1A+3EhAFwER0EpgyL8NEbjyjOl4tnX5SDskQAIkQAIkECsCnHAeK/LuckOdcC4dm2bNmqGoqMjUBFWxI29kZbTB7ERXGYXRZUdGUcyOxEh9RFgFY0c6hOrNdIwfheriOTmxGoWtdkRgKLEhz54IEKbLtVUT0lkSiAgB/k2PCFYatTEBjnzYrPGkUy2paM0KBrEjNszaUWElZu0of4IRDIGaTOzIFqwdGf2QOnAjgXAJqFENlS5XhLiaWB6uTd5HAiRAAiRAAvFKgOLDZi0rIRw6wjekw61jorl09nX5o8OO+BNKvdS8EDVvxWaPA92NIQF5ZuSZVUJXRiOVGI+hWyyaBEiABEiABCxNgGFXMW6eUMKu5A2rdHTk218K2WCqI/frWEtDhYCZXZND2dERShZOSJqIFfHBKiMgHKIP5imO3TUiOiSkSkY45NmRj5l/j7GrCUsmARKIBgH+TY8GZZZhJwIN7eRsovsqnWN5U2+2oyOjAzrW0hB/Aq2lEWx7iT9iR0foVjghadJ5VG+vg/WZ1yUeAXneZeRRhKo8M/Lcmv23mHgUWWMSIAESIIFEJ8CwKxs9AUp8mHVZOlAq3MiMLSv6E07olpr7IvXhRgLeBOS5kGdERjtEdMjIIUc7vCnxNwmQAAmQAAkER4DiIzhOMb9KQjxkMysaxI68udVhRzph4XT2PWGKDfmY9UdsrF+/Pmw7Ug95k82NBISA/Bthulw+CyRAAiRAAiSgnwDFh36mEbGoc7TCrGCQCuoe9TAbviL+mAklEya5ubmuTmdEGpBGbUFARKyMashIh8ztEEEq32bFsS0qTydJgARIgARIIAoEKD6iAFlHEdIJ0iUadNgRf6STZnbTWS8zHUQRPzLvZNq0aWarxPttSEBEh/y7kEQMMurBdLk2bES6TAIkQAIkYAsCFB82aCYVc252UrR09KWTrcOOYDNrR94oy2Z2ITZdIWmdOnXCpEmTbPBE0EVdBNSohnqWmS5XF1naIQESIAESIAHfBCg+fHOx1FGdowPxNFqhGklXSFpZWRkaNmzoeuutbPM7PgmI6BDRK6NlIjxk5EOJ/PisMWtFAiRAAiRAAtYgwHU+YtwO9a3zISEgsnaFldbSkHh4GW2Q73A3qZcOO1K+jOZIZ1K9vQ7XJ7FzySWX4IwzznClVA3Xjtn7mBPeLEH/94vAkInksokQl1AraXduJEACJBApAvybHimytGtXAhz5sHjLSWfJamtpSCffjPAQ5DKaIzZ02TErPFRI2oQJE2Ke9Sq/oMDiT6W93BOhq0Y1RHjIR00sp/CwV1vSWxIgARIgAfsToPiweBtKp8nMRGpVPV2hSeKPlSas6/ZHiRgRI9zsTUBEhwgNEbjynMi/ATWx3N41o/ckQAIkQAIkYF8CDLuKcdsFCruSjpJ0hqUTZWZTduTbzJteuV+yAZkNAdNlR7hISJpMEjYzguJtR70Zlw4rN/sRkOdLhIa0n/z7kfY0m9TAfhToMQmQgFUIMOzKKi1BP6xCgCMfVmkJH37oHK2Q0RMzwkPck9EAM2tpqCqKHR2hZNK5FDtmhIeqV3Z2drUdGdlZsGCBadGn6svv6BAQ0cF0udFhzVJIgARIgARIIFwCFB/hkovCfdJJ1xHiJJ30eAzd0lkvT84iZkSMMPQqCg+5hiKYLlcDRJogARIgARIggSgRoPiIEuhQi1EdX7PhItIxk82s+JDsVhKepMOOvKE2a0dsqDfdobL1vF7Z8fZHxIiIG27WJcB0udZtG3pGAiRAAiRAAv4IUHz4IxPj41Yc9fAcHQgXj87RCm/BEI5Pyh/vkDSxvX79epfACccu74kcAWkzGZ2S51HaSQSkzOvwbsPIeUDLJEACJEACJEAC4RLghPNwyWm6z9eEcxlhkM6V2bU0xEXpkOmyo2stDR12hI90Qs2ODIkdf3NrpHMrE5Z1LMyo6XFJWDPyb0IEuYgM2eRbhxhOWKCsOAmQQNQIcMJ51FCzIJsQ4MiHBRtKOlnSKZaPmU29ITZrR/mj0tCG65PYETFk1o4KJTMrPESUyeZvBEWOizDhFjsCIjpEaMgzLM+ztIeOcLvY1YglkwAJkAAJkEBiE6D4sGD7SydLx9t26ezreDss/uiwI/7oqJcuf/yNeKhHQsSHdH6VSFHH+R15AiIw5FkR0SH85dkR0elPKEbeI5ZAAiRAAiRAAiSggwDDrnRQNGHDO+xKOl2JsJZGuMh0h6TVFwImHWApUwQPt8gTUPM3JNWxpHVWox6RL5klkAAJkEBkCDDsKjJcadW+BDjyYbG2kze8VlpLQ/yJxFoa4WIXf+RtuNlQMhETYqO+EDAZ8ZEyuUWWgBrVkPaQ0DxZOFK1UWRLpnUSIAESIAESIIFoEqD4iCbtIMqqLxQoCBOuS6IVmhRtf0QI6AjdEjvBhJJJZ1hESjQFiLwlS5RNRIfM3ZFwKmEtIx/yb8CsuEwUfqwnCZAACZAACdiNAMOuYtxinmFXEtsuHTEJ8zGz6bIjHUHVITSTxtSqoWQHDx4MKj2rdIalkxwtAZIIQ/Qijj0zV4n4MPOMmfn3wntJgARIIJIEEuFveiT50Xb8EWgYf1Wyb410jVaIHR0Tc9UojNlOofhjpVAy8UdCyYKtl7DMyclxicJg77HvUxg5z0VUi4DzFB3BjD5FziNaJgESIAESIAESiDYB24RdOfetxPyXZmD+Q12RNTQXu6NNKgrl6RIf0sGLZmhSfWh0iiEdndVQ/ZEQIBEr0Rr5qI+n3c6L6FATx4W9fGQ0TEdb2o0F/SUBEiABEiCBRCdgD/FxbCVm9h2Jp6fPwtPLSuOyzaRjK2/VJczJzKY6yGbtSJiRbJFeSyPYukoomXRizY7oSKc3nI6vlCsjQdyCJ6A4i3jzTJdr9pkK3gNeSQIkQAIkQAIkYDUC9hAfDa/CyM352PTSBUixGkFN/sjb4HgdrTArGASx8NHxplyFkoXabFIHJVxCvTfRrleiQ1JGy6aEB0VHoj0JrC8JkAAJkAAJ1CVgozkfyTiucVP8BkBl3XrY+oi80c/NzTX9Zl3syPoIkqbU7CYjKNJpNLuJHTWKYsaWiA8ddsQfNToUij8yKqVGPzgC4puctI+EV8lzI0JRnkNmrfLNikdJgARIgARIIFEJ2GPkI85bRzrDVlpLQzr60mk023GUeokNsyFgYscKIWnSoQ5HuMT54+tiIqMaIs7kW0Y+RKCZfX7inRvrRwIkQAIkQAKJSIDiwwKtHm4okLfrukKTpIOtIwTMav5IvcyEbqmwIR0jMN5tZ8ffSqTKsyJcRXTIyAczgtmxNekzCZAACZAACUSHQPyID2ch/r14JIZ1SIfk1HZ9ej+KCe/vQlkdlg5U7JyP6Xd0qL5uUl4Jju2ciUl5FV5XO1CRvxhvTLkanQLZrdiE9zyzcTkLsWXubbhW7uk9GYtKjnrZrfkpnTaz8yLExvr167XYkRAws/6oUDIznX0hpELJdPhjVnyIP+LHkCFDahovwfakPdSohggN+cizJ+1M0ZFgDwOrSwIkQAIkQAJhEIgP8eH8CrnDb8Btk4/hpMX/Rn5BAb5eNwXDT3gbi+79C+5463s4POA4983Cgzd8hn13rsKOggLkvz0QV345Gv2ufR+lDTwuRCVK1gzDlbd/hf19F2Orl92B//i6StgcW4nnut+G+6uzcZVi3Yv/xq83PY+pozOQUvAF8vb6n6kiHVqzHTfpWNt5LQ1P6p77Uq/s7GzTITxiR0co2cknn+zqbEsnPJE2qa8IDWEoLGXUQ4mOROLAupIACZAACZAACZgjEBfiw1n4Fl79qBI4/wrcktXYRSTppD4YNKAjUnAAu7f+x2P0owJ73s/Fuq7XYNj5LZEsVyel4ZwhU/H47TKdvWZz7puLJ+6pxJULHsU9mcpuP9w7YzT6pxzAnqeewgu7/ge4snEV4KuFV8F11dqPUXzFdTg/tRkyhryDrQVLML1zkxrDXnvSqTO7WS10SzqnZkcrhInUy+zoidgRf3SEkn366af44x//mDBzP5TAENGhslZJ2JkKQTP73PJ+EiABEiABEiCBxCIQF+IjqWVbnJmcjObprdC8uv1qsmM5SstRXn38KI4crAA2rseqfZ6hUCfi7OsuRQtDXbgf215fio+yLkfPtN+qg1XfqWeg7ekiW7Zj9eff1RpVcV3Q/XrckuF1T20LtX6ZnZgrnUJ5M222sy92pLNp1o7YUJ3WWhUN8Yeyo8MfnSFpY8eOjXvxodqP6XJDfGh5OQmQAAmQAAmQQEACNkq1G6AejQdgYv4ATFSXVGzC6tzX8cbTK3FYHav+boTfNUsFKlfgxe7fYvN9d+PuW7ujS2oSkjLvxd/Udc4i7Pi0FMh/EoMyn1RHvb4rUbanBGXIQAuvM9H8qXN0wGxHX+qtcxRG/LFaSNott9yCu+++2yWwzArHaD4nwZTFdLnBUOI1JEACJEACJEAC4RKIi5EPVXnnvpVYNuVqtO88F++iD0Y8e3lVGJS6wPWdirQbH8VDF8lyhTuQN+0uDOp0CXpPeav2SIjzEA4WO4DuU/GOzAvx89nxRLeYCg+pksTgWyk0Sac/VhNDamK1pEaWekZik2ct2pvUhelyo02d5ZEACZAACZBA4hGIE/FRioKlg9C3+5P4R8NHsPzrOZg+4FKkN/EzsJOajcHzVmP5zAG4oY2ETx3AnnljkHN1Dibke42VlB5CmdO6D4Z0GuXtu9XW0jA7J0BCwGQzKz4iFZImIkTmkdh9kzrI88N0uXZvSfpPAiRAAiRQm4BkK12I+Q91dWdB7YCuY17BIu9+Xu2b+CsKBOJAfDhQsXkyHhi7Af+57EE8e9+FaBtUrVog48rHMXHlxzUipPJDLBq7DHmeYmPHGqwq/J+fpvgeKxZuh+fMET8XRuywdB51jHqIiNExIVvs6PBHZ+iWDn+Es6cQkn2ZF6FEUsQaOAKGmS43AlBpkgRIgARIwEIEqrKVXv2EA1mPfoL8ne/i1TtbofKtSZhw0zQsOuzZ0bOQ2wniSlDddGuzKEfBx5+jEK1wzvUXIaPeGpVh8xOveAgMtwhZOhVDZRRkx1bk/fcY0LAdOl6eCmAjljzzBjZW+HhQD3+OdYf+rypjVgwgSSdS15ocCxYsqNW5Dqc64o8u8aFLDEVSnIkAEft22aR9mC7XLq1FP0mABEgglgQqkL9wNXbH0gUTZVdlK92MxtdfivNTk1xZTTvfNx3T+rcATvkDmtXbVzRReBC3Or9Zin8VH/N9pXMLFr2x1/e5ODkaY/w6KVbgx3L/a2l4lpSUnItFW2ryX7nOpV6ISy5rAqQ0w++PFyyn4uJBfXAmAMf6CRiS8zxe2FhSndnKWbwCc+/dgtP7nlFXfEQpVEs6vjL3wOykZ+noW2ktDamX1ElHvWSyuo6QNHlGvO3ISJEdxIfKXCU8ZaRG2pvpcj3/owXzLgAAIABJREFUInCfBEiABEigFoHDuZi92CsMvdYFVv5RtaTCR45m+H0Tmd/r3pIy0O3Jz5C/4h70FEESs+17rJ38tte6csoZB46snY1/JVWnXlUn4uo7lvRDBLkfX677oip7Va00uU3QtmMGUlCOPfNec68kXoqC98Zi6nNf4lcpRcTAse/w/hMfYjd+gwaNSrBqwO0YNDcPu10DGg78lD8Ls+cCGY/fgRsbV2FJyhiNF17KRppLgMzCiwOz0d69ynm7bvPw2cAc3NWqkbsepdiz/T9V5e0pwh5fIyUh1ri+y6Xj6xkKVN/1/s6LHR2hSbpGK8SODn+kXpEMJRMxIuJG/LXipkQH0+VasXXoEwmQAAlYlIBzF9Y9NQsfnORaCc2iTgZyy72kAo5H88b/F+jCGJyTcLCJeG5TzcIQnk44SxbimUl5OIZaK157XhIX+/YQHyUzMSz9EgyYs78KuitNbnt0mL4VR5GMxj2eweInL0BawXxMyO6MrmPexZbWD+Hh2fdjoCuUKhcvzt2NZqN6oC1+haNyGBZsfgi3pSzEM2enIys9C+dNS8VZ85fhzX6neoxkpKBlj+fx8oL7Mfq6mmS6ydnDcferL2Juj5OqrpUVzjt3Rd+nd8E19lL5Oiacm4mszjOwys+omtmnRzqWqnNpxpbY0LkGhlkxpELJzIoPZUeHPxKS5s8fETdWEx9qVEPEkYx2FBUVuUZozI4kmXnOeC8JkAAJkIANCDgLsXlaDu5bWmoDZ/25WIIf8iv8nYzh8Urs3zge4+9bj0IfXjiL38KLY5/Fkh/US20fF8XLIYNbTAkACKv8kSNHGoMGDQrrXs+bHn/8cS12pk+fbvTp08fTdFj7uuzMnz9fiz9iJzs7229dioqKZGzUOHjwoN9ronVi2bJlLl+bNGliSLtawado1Z3lkAAJkIBVCWSmpdXvmqPA2LxohDH0rDRDrs9M62r0mvymsXLvLz7uPWYc+WaRsXTyVcbZrmvTjMxejxjjV+00fvS8+shG491Z0415oy80Mu9cbhQavxjFn8+u+i33nXWnMWrlrpp7jqwz5t9+lrt85Yd8n2v0evMHwzAOGDvfftFY+tKtxjVpI4yZxT8ZxRsnGY/0zDQy064zBq/eZxyrLv+AsfPdZ4xp1fbOMi58aL7x+jfl1VcEt/NzbZ/Fb6nr65uMQoeXhV/fM2ac6+m3534vY1TeEa8bPH9KOXOMxf8cYfw1s6frWsfe94y3qhmL///03R512s5Xexwwds7pXdNeqt3k+843jZ3fTPRoe0+/hfOvNY4e2Wh8+E/P5+Q6Y+BLq41NRzxh1N9OjlCfjRoPtOyF1/PVUjSNCIFwxcdpp51mrF271jREsSOdVrObLjsdOnQwpMNvdtNlR4RHff4Ec43Z+gS6X/wT/vKpz9dAdniOBEiABEhAP4F6xceRdcYrt51n9Jr8vrsT+bNRvHqIcY2roz3TWFmrY1l17sLz/mbMzK/qyDv2vWk87+rkdzV6zd1RJSYcnxsLrhVR4O7I3jnPWDF/ojF5Y3GVQDjyjjHdJRr6G6PyDtWudPHzxlBXp1gEi9p+NLY8c16NvbThxvjXXzVmfn3QqPhmovHXzEzjwmc2u8veaax9+GLjwoeWVdenZMNDVZ3rs4Yb44MWIFUd9naZQ4z7N7j9dhQYeVOrRFe7Ia8ZG2qxUb7uMJb/pZ2RmVaf4FDX/2KUvNHXo25XGgNfmGGMeuRjt8A5YOxaMtDdHpOM14s9BKHjS2P50LOMTI96ebZHnze/8xBkUp7yzUtUuFxRfiixp/yr+nYULzDGnnelMXCJW2T6ZBFEO02ZbUwP99mo7VLYvyg+wkan58ZwxIeIDulomt2++OILbXbkbbvZTfzRYUdGI8SO2Tf/wY5qSIc/0OiIWS6+7pe6ySiRPAe6hJavcniMBEiABEjAHIGA4sPdeW1313Jjp+fL6+q3+GcZF8/bWd2Bdex93hieOcAYv7OytlPl/zQedY2a3OZx7phRvnpg1dv2Xl6dZkN1dNOMs6ZtMTy604bhU3y4i/PjV40zPxv73uhntLt2gbHJsz6Ghy/XveJ1rubumr1jxpG8HOOatG7GwNX/r+awa6/E2PL0xS6xUIeb67zq4AcrPpR5dZ+HiFOnDI8yx641DriPO3aOM/rVEWo1dW3ncW3VLaqMEMWHPCd/PbvWs1Bl7ztj3cNnG5lptZ8To952qvExM5Rno5qHuR17zPmIlxg3TfXQNdHc6mtphItL8ZHJ4GY2mcsxaNAg16TyQHZkXonMm5H5M5HefKXLlQxW/uakRNof2icBEiABEgiXgAMVW+bjHx81r7tUQMNuuHGKJLzJwDntT3TPRd2Pba8vxUdZl6Nn2m9rF5p6BtqeLhPEt2P159+5M3Mm47jGTfEbubLVmejc0nMuQSP84dRT0RjA0Z0/4Pva1oL41Q039mzjMUfWfUvFGix5eRea9z0P59TqYSYj9eQz0FouC7h+mtuOMw9vPbEShSnZ6Nm5mZc/J6LjLf3RIwVwrH4T//K7FpvXbUH/bIq0s05D7SnhJ6LjtT2qMqC+sw6r3euEJLVsizOTk9E8vZXH9TXcHaXl8MqtGrQXNRe6n5N17XHZhad5MW+Ok9qKp5UofWcjttRZFcJPO6HGR/3PRo3n/vb8LAHu73IejzUB6XxKp1jH4nZiRyYnm92ks6/DjvgjH7Ob+CMfs5uIM/nUt4nIEZEiZco6GpHYRNiIbeEjYke+za4iHwk/aZMESIAESCBYApUo+epLFOJ49KyTlUkS3szB2wUetpxF2PFpKZD/JAZlPulxwnO3EmV7SlCGDNSkyfE8H9l9574t+OTboyidfA3aT/ZX1g/Ys/cnIMNLQHlc7iz8ALn5DqB9a7TxkRY3qdWluLzzy1jzcZXYGpuR4dUp9zCmaTcp7Qr0yVqMb/L/jbxdP+PmzqlA4wGYmD8AE1UZFZuwOvd1vPH0yqrsrOq4qW/1nHyPwmvOwiJ/ttyZVru4M7b6u8wKxyk+rNAKIfggnU7JWmQ2c5Gy4712RQiuuC4VO5FcSyNUf5QIMtsxV+Iu2GxZcp1kvtIhPrLS05FfUPV/HPFDBJBk3BKBI7/Ntn2oTHk9CZAACZBAJAiUoXh3GYCTgjPuPISDxQ6g+1S883IftA3urqhe5Txchr1ogjZTlmFFv5PDLNuBir3/QZHc3aIpmtcaQVEmW+KUrFTg4zKUH/rJNdIT8cTASY3RpEUykK98qPl27luJ3Ndm4tEFrXD5IzdjxLPH8MXwDzUJEJU6+Crcvf5Z3NPS/l13n01ag5N7ViMgnX0da1fIW3odoTq6/BE7OvyRegUrGAK1baghaVLmzz//jE8++SSQ2aDPqXS5IqJEbDBdbtDoeCEJkAAJ2IzATyg7/EvwPkdpIePgHfK+8igOl1cJAu8zwf124OdDh6uWLthahN0RWrIgOF/qu6oUBUsHoW/3J/GPho9g+ddzMH3ApUhvEgmBcBBlhy0Noz5Y1ecpPqpRWH9HQm9yc3NNd67VGhhmO/tiR97Im+3sq1Ays/5IC8ZKDEkdSktLccopp2h5kLp37+6aR1JeXo7x48dDFgps0KABP2TAZ4DPAJ8Bmz0DOwt9reog/6tIxe9+L/Mw9mHL2q/ge2UNBw4vX4zVnn3OgHMmvseKhdtxVMv/icI14m/+gdve4ZVYtDHQOhyNcEL7jq75FSgvwu5Sz8p7+9QEp5x2Ajxns3hfof93G7Q5WULGHKjYPBkPjN2A/1z2IJ6970K0jWiv2nM+j3etfDwn3pdY6HdEMVmonnHhinSs+/TpU+8E6PoqK6MDOuwof8yGAYkdsWHWjtRLhx3lTyghaXJPdna26Tqotps/fz5OO+0010f2JSszP2TAZ4DPAJ8B+z0DmWlp6k+713cTtO2YgRTpxi6ZhUmbfUxNdn6DFTtaooO8SG/YDh0vTwWwEUueeQMbK+rMLgYOf451h/4v4vMfvCpS/bNhRhdcKRXaMQcT5n8NCSqrvTlweMMGFDULPDKQ1OocXCyLRGMLVm8odk+g97RUgSM/HgVSLkbP807wPKFh389I1OFt2LL5KNC+E7r8UfwvR8HHn6MQreomDNDgRY0J9ZxUonTG83gy/3DNqeq9fcj7+H+wwXQPl8cUH9UNZ/0dXaFSsQpN8kdY/NERSiYCQMfoSTicw7nHHw85LvVQk8wlBExElcwnkREWbiRAAiRAAvFAIBmNuw/DqCzpZG/DqiGjkbOqoKbD7ixE3hMzsPXKDu7J46fi4kF9qjIurZ+AITnP44WNJdUdc2fxCsy9dwtO73uGHvERMLzLTwhQ4z64beSpAA5gz1NDMXDKW1i1T43DVKJk09MY+frZuN47W5d3c6b2wI1DzkQKDmDXvLfxobfQOvwJVi+rRPOBt+CWVv7GPfyICO+y6vwuw+5tRTXt4DpfieIP38KKyo7o+XBfdKnVe67Aj+WVdawEPuCHn+sm77A1j+ek8kMsuulB5CzejN1KezoL8e+/T8TCCy71yjAmxgKVE9jDSJ6thS+SBdG2OQIy0Vg6o2ZDnMSGfMx20pUdHf5ImloddiQkzWy9pHMfamibsNBRB19PiNRH2l7EjcwDoQjxRYnHSIAESMCmBJIuwK2zhrvSxqJyLVaN6I2u6emQxCNZmTcg55dbMOycmrTxSRmj8cJLkoIXcKyfhRcHZqO9+/p23ebhs4E5uKu6M74fX677omrS88b1HiJAWAU4d3xznCCjF3u2I6/kKFCxEhPG56EMTvxUuAX5Li3hzlhVB3sq0ga/iJf6S66tA9gzbwxyurevqk96B1w6EbhiSi9k1Nv7TMFJ17+IuX89ESh4Hg/kzMG7xVUixln8FmaOehrLLhqLZ4d28khxW+WMs2QLvtjnAFCG3R9tq+mk1/HV34FGwNJpyFm6yy1AKrF/43iMe2QfTnrocTzauYn7RjUiUY49817DImGFUhS8NxZTn/sSv8pVIuCOfYf3n/gQu113/Q5NTxCx9B9s/foAnNiPzeNfxCqXuErGcU0bIwWVKNu8E7udTlRsehoT8g4B8pzMfhh/ltEgeU4eG4BrMmuek5Hf3YSx15/qFp2OINopQPsHejb8IQv1uLllQni3WQLBLjI4cuRIY9CgQWaLM3TZefzxx7X4Iwvl6aiX2OnTp49pPuHY0cVCOR9oQSpZYFJ4yXMj37IQIjcSIAESIAHrEgj0N1157dj7nvHW5KqVu+X6dkOmG8+tyK9aMVxdVP39s1H8+Wxj3ugLq1fllutnqlXA5brqRebcK5y7VzqXBQV/VYsIuo9JeZlpnqtq/2xUr0iedp0xcM4mo9Bx2GuFc2XXz0J+jgJj06JHjUdcq6jLtV2NXpPfNFburbWcYXWN/O8cMHa++4wxzbWCe1WZftn4qbOrfudON1b+6r+UqjNqAcBexqgP8owPg2oPj9XP084yLnxovvG6rOBevYL8dcbAl1a7V3qvKqVmBXS5/p+1mXisWp7Z6xHjyU3uld3drruek5durVptXdrtrDuNUYvy3Cuxy0XeK5z7aCc/nIJ7NtyOmPziCucmAZq9PVjxISt2ywrgZjdZEVs6sGY3sbNs2TKzZlwrdOuwI6t867IjK5aHsuliocoM5n9UIjo8RYiOZ0OVz28SIAESIAF9BIL5m66vNFoKn4CH+Mg7Er4Z3lkvgXoHvkIdSeH1+gnIXAada2mYXQNDraVhNlRKwokkzEmHHQl9MmtHhZKFEroldZDNbNmhPjUSfiWhWJKCV/alTeWj2iZUe7yeBEiABEiABEiABKJBwDbiQxZwmf/SDMx/qCuyhua6Y+c8EFWsxyt3dEBWh/vwQvXkJo/zoexWbMJ7gcoKxZaGa0V8WG1Cto7Otq5J2mJHhz+hru0hTRvOPRoeiWoTag6ICCcRH8JBvoUJNxIgARIgARIgARKwGoHAuc6s4u2xlZjZdyRmqyx03SPomHMDXh1wBybny2QlAJEsK4hqyMiArKVhduVssSMiRr2pD6Jov5fosiMdZB1v6sUf+ZjdxEaonXa5R0cdzPouI2PyjMhH6qD25TuUkRyzfvB+EiABEiABErA3AZUlS9Iac4sEAXuMfDS8CiM352PTSxe48mH7BJGajcHztiN/+zTcU53pweeVgQ8mXYCBufn4auFVaBz4Sj9nK5C/cHXdkRk/V9d3WDq3OtaPEDvyllw+Zjbp2Oqwo/wJZS0NX36LHdnM2lECQkYNgt101SHY8oK9TsSGjISI8GCa3mCp8ToSIAESIIFEJlArS1adVLuJTEZ/3e0hPlz1TsZxjZviN/oZ6LV4OBezF/taACa8YqTzqOPNtXSUrRa6pateOuyIqAo1dEvu0VF2eE9G/XeJb0zTWz8nXkECJEACJJDIBL5G7pD2aJf9BP61R6JeKlH28i3omj4SL5QEWl09kZmZq7s9wq7M1TF6dzt3Yd1Ts/DBSaNxr4ZS1QToUDvF3kWLHVm7QjrLZja1BoYuOyKszGwqJE0mXZvZwglJUyzM1sGM38Heqyaiy+iOtF2zZs0waNAg18iI2ZGwYH3gdSRAAiRAAiRgTQLt0GfuDvSxpnNx6ZWNRj4szt9ZiM3TcnDf0lJtjkpHUYSHxPOb2WTUo0+fPqbtiD867Ch/zHZ8xU6sQtIUC7N18NWu+QUFvg6bPqYmoiux1rp1a9fIjY55QKadowESIAESIAESIIGEIBAf4sNZiE1zZuKN2bfhWr/DZKXY9d6zmC4ZsVyrgXZA1zGvYFF+MCFSR1GycWbNvR2GImdVgXvlSwCSaWvIDRj4992olMdm7YO4xlVGZ/R+a2/YD5ISH2EbcN+oK3RLpz9mR3OkauKPjrCncELSdLEw27bh3C+CSfxnmt5w6PEeEiABEiABEiABUwTqXQnEQhf8mjfC6CIrOt653Cis9us7Y93DZ1ev8pmZNsKYWey9jOUBY+ec3sbZadcZg1fvM47JvUc+N5Z5rA5atcJnzb01Zc0zVsyfaEzeWLXKpKN4gfG4a8XO24zxOyurvXDtqFVDa/lX+xLvX/4WGZRF42TxOrOb2JEFCs1uuuzI4njiz8GDB025JHaEXSzsqDqYqoCFbhaGskq7PG/Z2dlGqIssWqgqdIUESIAELEeAiwxarknoUIwJxMHIx6nInrQV+evvRbYfGebcNQt/e3oXjt44Ak/3OAnJcl3qBeg7djj6pwBI6Y271+5AfsFzuKel1zSYfftx+MrRGHNeS9d9SS1vwrAhmQC2Y/Xn38GdkNdPyeEfltEKK40O6HrTr+qlI5RM5i3osBNqKJmqQ/ita607VZpemRskI0mSJUuNjljLU3pDAiRAAiRAAiRgdwJxID7cTdCiLbKa+GqOCuz57BN8gxQ0b9MSzT0vaXwxevRKBSq/wOadRzzP1Oy3OhOdWzaq+Y1G+MOpp6KxZEPYU1ITeuVxhY5dCQXSEVIUy9AkXxx01UuXAAiHj646+OIT62PyzKk0vcJGRIiIEZlgz40ESIAESIAESIAEzBKIH/FRL4lKlB/6yWukIhW/+70Iiwr8WO6arVGvFc8LHKXlUOseeh43u686fWbXrpBOsrzV1mFH6mTWTjhrafhiqSZImx0ZEjvS0Q7Fjq46+KqXlY6JCFHZseSbIsRKrUNfSIAESIAESMC+BBJAfKSiTdeLcSaAo598hW1Oz8aqwJEfjwLIQpd2f/A8EdN9XW/WxY7V1vYIpaPvrxFiOeohwlBHHfzVzWrHPdP0ilCTNL1qdMRqvtIfEiABEiABEiAB6xNIAPEBJGWMxgsvZSNtxzTkPLoGu10CpBQFSx/Fs2840HzoCNyT8VtLtJZaP8JsyJXYWbBggemOstiJZzEUCmfFQoegs8TDFoITMuolwotpekOAxktJgARIgARIgATqEEgI8QGkoGX3BzCqe0dcnfIsbsxMR1Z6V/RZcCrOnbkE79x/bu25IHUwRe+AdPBCnQDtyzsRDGJHwmXMbGJHbJi1o0LJzNpR/pgNARM7oYakqbLN1sFMe8T6Xqm7tOXBgwddz4SMjKjRkVj7xvJJgARIgARIgASsTyBBxMd+bH06BwtunIaxj7yHrQUFkIXc8ldMxGNXZlhGeMjjIh07HWE9OkOTdLzpl457KKMM/v7pCB8ddsSfUOsVzj3+6mH3454ZskR8SJuo0RG7143+kwAJkAAJkAAJRI5AAogPByo2P41x81LRvLFXGt1IcS09hLJac0uCK0hi6uVjtnOt7JgVMWJn/fr1psWQ2MnNzTVdLxWSZrZe4YSkqTqYLTu4J8E+V3mKEBFzTNNrn7ajpyRAAiRAAiQQCwI2Eh/78eW6L+Baj3zjeqzaJxPF1eZAxRcfYo0r9dQWrN5Q7JHVyoGK74tQiG1YNaCze3VzCbvy/FyE3s987p4LIjYrceD7vfhVduuUFcCP45vjBFk3ZM925JUcBSpWYsL4vKDT8eocrZBOsnQMzWzypj9Wa2n48ltGPXSFkmVnZ4cUSiYsdITD+apXvBwT0SwiTQSItJUSJiL2uJEACZAACZAACZCAELCH+CiZiWHpl2DAnP1VrVa5Ai92b48O07fiGL5G7pAO6DxgBQpdZw9g15jL0H5oLna7fjfCiVeOxuTrWlTd6/O/B7Dn73dh0PR/o+LYSjzXuQN6PPwVXMl3Pcvy6UdX9H5rb5XVxv0w/OV+yIb4dxMGLf49bnm0S9BhXdLBNTvqIY5YMXTLavUK1R9d4V4+Hz+vgyKM7bwJW0nPK8+zZ5peESbcSIAESIAESIAEEptAA1lhPe4ROHdhzV9fRv6EKbinleeCge6aOwvx7yUv4KXJp6H/lvvQM0rRWVJ6gwYNIE0gHTUJWzHbQZPOnnT+zNqRNTAklt/sW2tddqQ+MqfArD/KjnwHOzKkqw7B/jsT8SFzkuJlE34yqifZ12QkTYVmxUv9WA8SIAESCEQg3v6mB6orz5FAMATsMfIRTE38XlOJ4jefwKyrR+IuX8JD7ktKw7k33YleZ8ROh1lx1CPU0QFfTWDFUZhQQ9J01cEXn0Q4piaie6fpFaHMjQRIgARIgARIILEIxL34cO6biycfM9Ch/R+RHKhtnRWoOOdidIniqIdyR97m6xIfagRF2Q73O179CUdIyD2hZsYKl3s83+edpldEINP0xnOLs24kQAIkQAIkUJdAnIsPByp2/hsbHN9i69cHPCahe4OoxL5l3+CkUbFZ70M6+tIxM7t+hHSSddhR/uhYS0NIm7Wj3pBLR9XMJuE/soWSsUpYSHiW2TqY8Tve7lUT0SX0jWl64611WR8SIAESIAESCEwgzsVHMhqfdwdGXHQEu8bcgj5TFmNRvitfVjUV576VmDtzOb46fwAuS40NDung6nizLnZ0hUrpsKOrXuGMVlQ3sMdOONnEdNXBww3uugl4ihCm6eVjQQIkQAIkQAKJQSAxJpyjFLtWLMbnnyzG08tKq1s2OXs47rzgAlw9+Dy0jY3ucE04F4dkxehgJ0BXV8BjR0K3mjVrps2OxOebGYlR/uiwI37IqIUZfwSV8JVRlGBHMXTVwaOZgtpN5MmJIjTlI+0tgkQ+Zv5dBAWcF5EACZBABAkk8t/0CGKlaRsTiMEMh1jQaoGM3ve6Prc/FYvyA5epYy0N6bDpWIdC3vTHai0NX5TEHx2hZMJH7AQrPMQXKTvU9UB81YHHgicgI27yEZEoWbFktEoEiBwzKz6D94JXkgAJkAAJkAAJRIpAjN73R6o69rQrnSyzm3SuQ5nL4K+8cEKTfNkSf6wUuiVCIlR/dNXBFx8eC0xATUQXESJzQ1q3bu1qP9nnRgIkQAIkQAIkYF8CCRJ2Zd0GUut8mPFQQlSksyZhQmY26djJyIB8mwl1UZ1Fs6Fkuuyo8KlQ/NFVdjjtwSH6utSkPUSkq7VCREiaTUBQtxQeIQESIAH9BPg3XT9TWrQ3AY582Lv9XN7rHvUwIzzEIfFHRyiZCgHT4U+oIWm66hAHj5clqiAhV9ImIiBln2l6LdEsdIIESIAESIAEQiZA8REyMuvdIJ10iYs3u4UTmuSrTF1iSOyEGiqlyx9ddfDlD4+FT0CEqIyAyEgI0/SGz5F3kgAJkAAJkECsCFB8xIq8pnJFMMgWykRqX0XHci0NX/5IKJl0MM3OYxEb8glFxEjZspkt21e9eEwPAU8RIsJbBIkaHdFTAq2QAAmQAAmQAAlEggDFRySoRtGm1UYrrDZhPRx/wrknik3OorwIiLAUgSntJiNWSpiYnQPlVQx/kgAJkAAJkAAJaCDACecaIJoxYWbCuXSu5G2vvKmXbzObdNh02QllLQ1/Pos/Ouyot+GhTE7WVba/uvF4ZAnIcyMjIfI8M01vZFnTOgmQQP0EOOG8fka8IrEIcOTDxu0tox4SbmVWeMjbYrFh1o74IzbMhoCJHREAOuxI84YiPHTVwcaPle1dl/YWASLiQ0ZEmKbX9k3KCpAACZAACcQRAYoPGzemrgnZ0uEOZU6EP2Q6/YnVBHpddfDHiMejR0CEsLRnUVGRq1ARs/KcizDhRgIkQAIkQAIkEBsCDLuKDffqUsMNu1JvdENZu6K6UI8dXXbUWhrS0TMzgqLTjvgRSiiZrrI98HLXQgSkfWVeiHxEiEhoViijYhaqCl0hARKwEQGGXdmosehqVAhw5CMqmPUXIqMVVlxLw4zwEEpSr+zsbFMCRtkRX0LxR96Sy3ogodyjv2VpMVIEJJRPpemVTGYyCiIiRNqdGwmQAAmQAAmQQHQIUHxEh7P2UnRlZNIVZiR2dKSmlXrpCgELNXRLVx20NzYNaiUgIkSeDRn1k2/PNL0yOsKNBEiABEiABEggcgQYdhU5tkFZDifsSkKJJFzEbEdJlx3pxMkbZLP+KDvyLR3EcDe5XyYZhxKSpso2W4dwfeZ9sSUgI25ktn6sAAAgAElEQVQifOXfhAgS+Zh5BmNbG5ZOAiRgJQIMu7JSa9AXKxDgyIcVWiFEH3SODugardBhR408mO30hROSpmskKcSm5OUWISDPr0xEl2dHviX0To2OWMRFukECJEACJEACcUGA4sOGzSgdpFiFJvnCpdMfHSImHCGhqw6++PCYfQh4pumVUTCm6bVP29FTEiABEiABexCg+LBHO1V7KZ1keSsrYU5mNrEjIwxm7ai0pWazBkm4i2xmxYfYkU5jKHZ01cFMe/BeaxGQf2MyEueZpleNjljLU3pDAiRAAiRAAvYiQPFhr/ZydYh0jHqI+JCwErObdNB0+BPOaIUv38PxR4V7+bLHY4lNQIkQNSdIBIgaHUlsMqw9CZAACZAACYRHgBPOw+Om7a5QJpzLG/1mzZq53sZKpyjcTacd8UNGG8z4I/WQURgZgTA7EhOqHWGhqw7htgfvsw8BeV5ErIpYlk0yZekQ3/YhQE9JgARCJcAJ56ES4/XxToAjHzZqYRmt0LEOhdiJ1VoavnBLZ04EgFnhEU4omdwjZZsVT77qFe4x+R8VN2sSEHGrJqKL8GCaXmu2E70iARIgARKwLgGKD+u2TR3PYhmaVMcZ94KAOkK3RADoeHssIiZUf6TsUO/xxYLHEo+APLMSjiX/LpWAFjEioyPcSIAESIAESIAEfBNg2JVvLlE7GmzYlYo5l295+xruJveHugaGr7J02VEhYKGsyeHLH2VHJggHO4qhqw6+/DFzjEP0ZujF7l4JGxTxIWGIIkxE1Ab7LMbOa5ZMAiQQaQL8mx5pwrRvNwIc+bBJi6lRDzPCQ6oqb2gHDRpkSsCIHRkxkBAwHf7osKP8CaWzp+4xWwebPEJ0M8IE1ER0lXGNaXojDJzmSYAESIAEbEmA4sMmzSYdZV2hSaGkofWHR8SQ1fwJtV4ixHTUwR8jHk9MAiKA5dlimt7EbH/WmgRIgARIIDABio/AfCxxVtc6FPJGVrZQO+neENSbXbN2JOxJPmYFgLITij9SB7kvlHu8OfA3CQQioESIPGeSTEGeNTU6Eug+niMBEiABEiCBeCZA8WGD1pW3qDo6ySp0y2yVdY0Y6PRH+IQSPqWLqVmWvD/+CchzKXNBlNgVsa2ESfzXnjUkARIgARIggdoEOOG8No+o/wpmwvn/b+9ugOQs6wOA/wPISIfBBEpBLUg6cpBqIdUptdo2oI7FUUzs+NkPIExboWNLKNjSYvkYHGHUyCEOoDLy0elMrYwNilM7Erm0tYMIevUr5AST8qnChDODk0LJXee/4U3uLnfc7u3e7vvxe2d2bm/3fZ/3eX7/TW7/++zzf/PNS35S38l6htkGku0M4loas/UlHyvegHV7dfRsp9NEplcWc42tm8ctTuxGrxrHZvKbCUlu+bPT5Lkao9RLAgRSwP/pXgcEpguY+ZjuUbrfsopTvrHuNvHINSPZxiCupTEbavYnt24Tj+IraZ3MDOW5M/no1mK2cXmMQDsCOfuRMyH5bzsTkfy3mUmIMr3t6NmHAAECBKoscECVO1+Xvufsx3zb2rVr59ulrefbOVc7DVW9nauuuqqdYdqHwKIKZNKct0yiiw8ZMjFRpndR2TVOgAABAgMUMPMxQPw89eTkpFsfDfJ6Irl1MlMy4JeI0zdAIGcAc0auKOagTG8Dgm6IBAgQaKiA5KOhgW/qsPMN3qpVq7r+GltT/Yx7cQXy61f5Naws01t8NbCYGVncM2udAAECBAj0R0Dy0R9nZymJQL6x67a0b0mGohs1FsgkJL+GpUxvjYNsaAQIEGiogOSjoYFv4rDzjdymTZt85aqJwa/omHP2oyjTm0lz3orZkYoOSbcJECBAoOECSu02/AXQpOEXb+Jy9sNGoKoC+frN13Ju+TO/lpVJio0AgXIKKLVbzrjo1eAEzHwMzt6Z+yyQb9osNO8zutP1XCBnP3IWL1/PeVOmt+fEGiRAgACBRRSQfCwirqbLI5BVhHKTfJQnJnrSnUBWyMoSvUWVrExCisSku5YdTYAAAQIEFk9A8rF4tloukUAu3pV4lCggutIzgallerNRZXp7RqshAgQIEFgEAcnHIqBqsnwC+elwfipsI1BXgWIh+tQyvcXsSF3HbFwECBAgUD0ByUf1YqbHHQpk4pFvzFauXNnhkXYnUD2BfK0XZXoz+cgZv2J2pHqj0WMCBAgQqJuA5KNuETWefQRyUa5Zj31YPFBzgZlletetW6dMb81jbngECBCogoBSu1WIkj4uWGB8fDyWLVvWumJ0fiJsI9BkgUzEizK9mYxkUq5Mb5NfEcbeDwGldvuh7BxVEjDzUaVo6WvHAvlma/Xq1a1PfDs+2AEEaiZQVMPKfxfF1xEzGckk3UaAAAECBPohIPnoh7JzDEwg32SpcjUwficuqUCxEF2Z3pIGSLcIECBQYwHJR42D2/Sh5YXY8ma9R9NfCcY/l0CxEL24Do4yvXNJeZwAAQIEeiUg+eiVpHZKJ+DaHqULiQ6VVECZ3pIGRrcIECBQQwHJRw2Daki7Bap6bY9cnGgjMAgBZXoHoe6cBAgQaJaA5KNZ8W7MaEdGRlpjza+V2AgQ6ExAmd7OvOxNgAABAu0LSD7at7JnhQQsNK9QsHS1tAKZhBQVsrIqVt6K2REVskobNh0jQIBAqQUkH6UOj84tRCDfFOVXrvI6BjYCBHojUCQhyvT2xlMrBAgQaKqA5KOpka/xuIvrF7ioYI2DbGgDE1Cmd2D0TkyAAIFaCEg+ahFGg5gqYNZjqob7BBZHQJnexXHVKgECBOouIPmoe4QbNr68rsdtt93mwoINi7vhDk5gapnevL9y5cooZkcG1ytnJkCAAIGyCkg+yhoZ/VqQQM56rF69OnKhrI0Agf4JZOKRC9LzA4BMPtasWdP6mf8mbQQIECBAoBCQfBQSftZCIBfDuqJ5LUJpEBUVKMr0ZuGH/LeYhR+K2ZGKDkm3CRAgQKCHApKPHmJqarACo6OjrU9d8xNXGwECgxcoKmTljMjw8LAyvYMPiR4QIEBg4AKSj4GHQAd6JeDaHr2S1A6B3gpkEpIfDijT21tXrREgQKCKApKPKkZNn2cVyDc2ru0xK40HCZRCoFiInutAcm1Ifh2rmB0pRQd1ggABAgQWXUDysejETtAPgXwzk981z0o7NgIEyi2QSUh+WJCzIbktX768lYQUv5e793pHgAABAt0ISD660XNsaQQy+TDrUZpw6AiBtgSKhehbt25tzYJkUlLMjrTVgJ0IECBAoHICko/KhUyHZwpkVZ2bb77ZtT1mwvidQEUE5irTm7MjNgIECBCol4Dko17xbORoctZj1apVrU9O6wCweWysDsMwBgIdC8ws05tVsorZkY4bcwABAgQIlFJA8lHKsOhUJwL56WguWrURIFAfgWIh+tQyvXk/ZzptBAgQIFBdAclHdWOn5xGtijmbNm3ylSuvBgI1FZhapndkZKQ1EyIJqWmwDYsAgUYISD4aEeb6DjJnPc4444xWpav6jtLICBAoFqIXZXqXLVumTK+XBQECBCooIPmoYNB0ea9AJh+uaL7Xwz0CdRcoyvRmhazclOmte8SNjwCBuglIPuoW0QaNp7gmgOSjQUE3VALPCRQL0ZXp9ZIgQIBAtQQkH9WKl95OERgeHjbrMcXDXQJNFFCmt4lRN2YCBKossGRycnKyygPQ9+YKZFnOXIDqqubNfQ0YOYHZBPLrmLkoPbf8qRrebEoe65fAiqGhUEK9X9rOUwUBMx9ViJI+7iOQi07zE0+Jxz40HiDQeAFlehv/EgBAgECJBSQfJQ6Ors0t4Noec9t4hgCB3QLK9HolECBAoHwCko/yxUSP5hHIi4zddttt1nvM4+RpAgR2CyjT65VAgACB8ghIPsoTCz1pUyBnPVavXt362lWbh9iNAAECoUyvFwEBAgQGLyD5GHwM9KBDgbpf2yMXJ9oIEFg8AWV6F89WywQIEJhPQPIxn5DnSyWwbdu2yJvqNaUKi84QqKTAzDK9+f9KMTtSyQHpNAECBCogIPmoQJB0ca9AUV537yPuESBAoDuB/H8lS/IWH2zk/WJ2pLuWHU2AAAECMwUkHzNF/F5qgXyToLxuqUOkcwQqLTC1TG9+xbOYHclCFzYCBAgQ6F5A8tG9oRYIECBAoGYCmYTkRUwzAcmfkpCaBdhwCBAYmIDkY2D0TkyAAAECZRcoyvRmApJfy1q2bFlrzVnetxEgQIBA5wKSj87NHEGAAAECDRPIr3vmLMjWrVtbI1++fHkrCRkdHW2YhOESIECgOwHJR3d+jiZAgACBBgkUC9GffPLJ1lexcmakmB1pEIOhEiBAYMECko8F0zmQAAECBJoqMLVCViYfuUakmB1pqolxEyBAoB0ByUc7SvYhQIAAAQKzCExNQtatW9cq2VvMjsyyu4cIECDQeAHJR+NfAgAIECBAoBcCM8v0FomJMr290NUGAQJ1EZB81CWSxkGAAAECpRAoyvRu2LBhWpleFbJKER6dIEBgwAKSjwEHwOkJECBAoJ4CxUL0okxvUSFLElLPeBsVAQLtCUg+2nOyFwECBAgQWJBAsRB9ZpneTEpsBAgQaJqA5KNpETfe0gtsHhsrfR91kACBzgWKhehFmd41a9Yo09s5oyMIEKi4gOSj4gHUfQIECBColkCxED2/fqVMb7Vip7cECHQvsGRycnKy+2a0QIAAAQIECCxUIK+efumll7YOz5+5aN1WD4EVQ0NhRrsesTSK3giY+eiNo1YIECBAgMCCBZTpXTCdAwkQqJiA5KNiAdNdAgQIEKivgDK99Y2tkREgsFtA8uGVQIAAAQIESiagTG/JAqI7BAj0TEDy0TNKDREgQIAAgd4KKNPbW0+tESAweAHJx+BjoAcECBAgQOB5BZTpfV4eTxIgUCEByUeFgqWrBAgQINBsAWV6mx1/oydQBwGldusQRWMgQIAAgcYKKNNb7tArtVvu+Ohd/wXMfPTf3BkJECBAgEDPBIoyvcPDw5GJSDE7Mj4+3rNzaIgAAQK9EpB89EpSOwQIECBAYIACa9asiZGRkdiwYUPrZ64TyQsW5pXUbQQIECiLgOSjLJHQDwLPCeQUvY0AAQILFSjK9I6OjrYSj+XLl7eumC4JWaio4wgQ6KWA5KOXmtoiQIAAAQIlESgqZG3durXVoyzbW1zEsCRd1A0CBBooIPloYNANmQABAgSaI1AkITnzkffz61nF7EhzFIyUAIGyCEg+yhIJ/SBAgAABAosoUCxEzyQkE5CcBSkuYriIp9U0AQIEpglIPqZx+IUAAQIECNRbIJOQdevWtdaD5M9clF7MjqiQVe/YGx2BMghIPsoQBX0gQIAAAQIDEJhZpjeTkExGJCEDCIZTEmiIgOSjIYE2TAIECBAgMJfAbGV6i9mRuY7xOAECBBYiIPlYiJpjCBAgQIBADQWKhehZpjdnP5TprWGQDYnAgAUkHwMOgNMTIECAAIGyCRRrQKaW6S1mR8rWV/0hQKBaApKPasVLbwkQIECAQN8EiiQkK2RlZSxlevtG70QEaisg+ahtaA2MAAECBAj0RmC2Mr1FYtKbM2iFAIGmCEg+mhJp4yRAgAABAl0KTC3Tm1WxlOntEtThBBooIPloYNANmQABAgQIdCugTG+3go4n0EwByUcz427UBAgQIECgJwLFQvQNGzbEyMhI64KFyvT2hFYjBGopIPmoZVgNqsoCm8fGqtx9fSdAoKECyvQ2NPCGTaBDAclHh2B2J0CAAAECBOYWKBaiK9M7t5FnCDRZQPLR5OgbOwECBAgQWCSBIglRpneRgDVLoKICko+KBk63CRAgQIBAFQSU6a1ClPSRQP8ElkxOTk7273TORIAAAQIECDRd4KabbmqV6U2HLNebi9YzSanjtmJoKKzlq2NkjWmhAmY+FirnOAIECBAgQGBBAsr0LojNQQRqISD5qEUYDYIAAQIECFRPYGqZ3tHRUWV6qxdCPSbQsYDko2MyBxAgQIAAAQK9FMgyvXmdkExAxsfHY/ny5VHMjvTyPNoiQGDwApKPwcdADwgQIECAAIGI1sxHrgfJMr25BmTlypWt9SB58UIbAQL1EJB81COORkGAAAECBGojkGV6h4eHQ5ne2oTUQAjsEZB87KFwhwABAgQIECiTwNQyvfk1rLwV1w8pUz/1hQCB9gWU2m3fyp4ECBAgQIDAgAWqVqZXqd0Bv2CcvnQCZj5KFxIdarpA/qGyESBAgMDsAsVC9ExC8pYzIXmtkFyobiNAoPwCko/yx0gPCRAgQIAAgRkCWSErF6IXVbIyCSkSkxm7+pUAgRIJSD5KFAxdIUCAAAECBDoTmFqmN49UprczP3sT6LeA5KPf4s5HgAABAgQI9FygWIg+tUxvMTvS85NpkACBBQtIPhZM50ACBAgQIECgbAKZhBRlejP5yKuoF7MjZeur/hBoooDko4lRN2YCBAgQIFBzgZlletetW6dMb81jbnjVEJB8VCNOekmAAAECBAgsQCCTkGIhelbFylsxO6JC1gJAHUKgSwHJR5eADidAgAABAgSqIVAkIVmiN6tkZRKiTG81YqeX9RGQfNQnlkZCgAABAgQItCFQLERXprcNLLsQ6LGA5KPHoJojQIAAAQIEqiFQLEQfHR1tdViZ3mrETS+rLSD5qHb89J4AAQIECBDoUkCZ3i4BHU6gAwHJRwdYdiVAgAABAgTqK1AsRN+2bVurPK8yvfWNtZENTkDyMTh7ZyZAgAABAgRKKKBMbwmDoku1EZB81CaUBkKAAAECBAj0UkCZ3l5qaovAbgHJh1cCgZIJbB4bK1mPdIcAAQIElOn1GiDQGwHJR28ctUKAAAECBAg0QECZ3gYE2RAXVUDysai8GidAgAABAgTqKKBMbx2jakz9EJB89EPZOQgQIECAAIFaCkwt05v3V65c2aqUNTIyUsvxGhSBbgWWTE5OTnbbiOMJECBAgAABAgQixsfHY3h4uHXLROQnjz4a1vJ5ZRDYK2DmY6+FewQIECBAgACBrgSKMr2ZhOQidRsBAtMFzHxM9/AbAQIECBAgQKBnAiuGhsx89ExTQ3UQMPNRhygaAwECBAgQIECAAIEKCEg+KhAkXSRAgAABAgQIECBQBwHJRx2iaAwECBAgQIAAAQIEKiAg+ahAkHSRAAECBAgQIECAQB0EJB91iKIxECBAgAABAgQIEKiAgOSjAkHSxWYJZGUUGwECBAgQIECgjgKSjzpG1ZgIECBAgAABAgQIlFBA8lHCoOgSAQIECBAgQIAAgToKSD7qGFVjIkCAAAECBAgQIFBCAclHCYOiSwQIECBAgAABAgTqKCD5qGNUjYkAAQIECBAgQIBACQUkHyUMii4RIECAAAECBAgQqKOA5KOOUTUmAgQIECBAgAABAiUUkHyUMCi6RIAAAQIECBAgQKCOApKPOkbVmAgQIECAAAECBAiUUEDyUcKg6BIBAgQIECBAgACBOgpIPuoYVWMiQIAAAQIECBAgUEIByUcJg6JLBAgQIECAAAECBOooIPmoY1SNiQABAgQIECBAgEAJBSQfJQyKLjVbYPPYWLMBjJ4AAQIECBCorYDko7ahNTACBAgQIECAAAEC5RKQfJQrHnpDgAABAgQIECBAoLYCko/ahtbACBAgQIAAAQIECJRLQPJRrnjoDQECBAgQIECAAIHaCkg+ahtaAyNAgAABAgQIECBQLgHJR7nioTcECBAgQIAAAQIEaisg+ahtaA2MAAECBAgQIECAQLkEJB/liofeECBAgAABAgQIEKitgOSjtqE1MAIECBAgQIAAAQLlEpB8lCseekOAAAECBAgQIECgtgKSj9qG1sAIECDQicDOeOyua+Kqs06MFUNDrdsr/3Q4PvHl+2J7J81M3fepb8TG6/843ranvWviHzbvmLqH+wQIECDQMAHJR8MCbrjlF8g3fjYC/RV4PLbc8K54y+nXxKf/c+eeU+/adG1cd96747SLNsb9E3sebuvOxGO3xKXvPDPOvfe3430j34vNY1+PL7zpnvj86jNj7cZHY1dbrdiJAAECBOomIPmoW0SNhwABAh0KTGy5Ni5cf2Ss+sTt8fWxsdg8NhbfH/l4/O3bD4+InbH985fEBRsebD9hmPhufOmy9fG5R98cZ1+6Nt7ykgMj4vAYeuflcf47tsVdf/WxuO6RZzrspd0JECBAoA4Cko86RNEYCBAgsGCBB+POq+6LX//C+rjq1KE49Ll29nvJW+P0K66PK19/UET8NLb827dja1vn2BU77vxYXPa1nbH/aW+Ld780E49iOzpe9/bfiUN23h7XX/df8XjxsJ8ECBAg0BgByUdjQm2gBAgQmEVg4rF45JfPi/evOGTfJ/f71TjlnSsj04/2t0fi2xu/GzvjRXHMq14eOXcydTvguJPi9w6K2PXPn43rtvzv1KfcJ0CAAIEGCEg+GhBkQyRAgMCcAvv9Zpz+wZP2zHhM32//+IVDlsYL4qA4/DXHx/LpT87+247/iI1ffioijohjj1q67z4H/0q8/Jj9I+KheODhn+/7fDweW750bXzuH8+NP1vx5jjvm09FTPww7vmnc+PsE4uF8FMWru+zqP1T8eVHfaVrFlgPESBAoBQCB5SiFzpBgAABAiUUeCaeePDB2BEnxntf+7LIlGG+beKx++P7rTXrh8ayQ2b5E7PfIfGiw/eP2PxIjH7nf+KZNxwWe7+Y9VT88LPvjTVXPvjcaYbijT+6K2646//ihLVXxfXv+WBsueGseO9HrokP3/3T+Nm1x8b2Ow6LU8+/Ob549tPx2Ma/jPedsz4ueP8L4/Bbz4iTfLw2X7g8T4AAgb4L+K+57+ROSIAAgYoITGyJb3z1R7H/u86Kc457YVudntixPR5u7bksDp0t+XjeVg6OY8+6Izb/4Oo4+0W543g89IKhWPsXb46TDs4/V4fHcWf+eZyRz+28M75y36vj/Ze85bnnDooXn3JWvGPF/hHf2xhf+aGvdD0vtScJECAwIAHJx4DgnZYAAQLlFtgVT917Y3x60+vj7HNeu8/ajdn7XsyUzP7szEefue+hKOY4pj13wNFxzIk5H7I0lh916PQZlynPHXvCy6Z/XayYVYnt8eSOZ6c16RcCBAgQKIeA5KMccdALAgQIlEtg4gdxx1XfiV/65AfinGkVq56vmwfGLx59dMyydH3Wgw48/qg4etZnPEiAAAECdRWY5Qu5dR2qcREgQIBAewI/jm999IK44Q1Xxy1veMn0mYf2GrAXAQIECBCYVcDMx6wsHiRAgEBTBXbGj++4LC5+/AMxvPYV07/W1AZJUUo34oF44OFZ1l08+2Bs+++sRvXSWHnCy6YsNm+jcbsQIECAQOUFJB+VD6EBECBAoFcCu+KpzcPxN//y9hj+yBvj5Qv5C3HwCfHq38org/w8tu94et+OPX5/bP5ZRBy0Kk79jWX7Pu8RAgQIEKi1wEL+tNQaxOAIECDQTIFd8fPNV8QfXXJc/N01b5ol8dgZD39jLLbPh7PnwoSPxL13fnfGVcx3xY4f3BN3R8T+p50cbzzEn6D5OD1PgACBugn4n79uETUeAgQIdCywO/H4w79+aVz42TVx3D5/GR6PsX+9OP7+OxPRqoD7vO3vH4ecckFc8vqDYteXRuKOHRNT9n7u6ucHvfX5K2hN7IifPb5rynGd3p1j1qXTZuxPgAABAj0X2OdPTM/PoEECBBZVYHx8PK644oq4/fbbF/U8Gq+rwO7E4/z33BJbtlwRa191fKwY2n0l8b0/Xxerz/1JLP/dY/YuPn9qU9x01omxYuj3Y+3GR2NaqrDfr8Vpl5wf7z7i1vjkh78Ydz810bpK+Tc/dnacd+sx8ZqPX/C8FbQmHrsn7t6WLT4Ud//7fdNmWyYe+Vp89Zu5ZmSW5x67N779SB63Pe7/2mjcPzXvqWv4jKtvAqOjo3HxxRdH/p9rI0Bg4QKSj4XbOZLAoghsHhtrq938A3jhhRfGkUceGRdddFHceuutbR1nJwJTBSa2fChOX31LbGpdlXzqMzPuv/INceqx7V1oMI/c78Wnx8U3fjQuWPrpODsTmuPfEeueeFd84Lab4sY5K2htj2+tf0284pRrYmOrPztj+6f+IF43dG588rEH4rY/eeUcz43vPm7Vh+JzD2TysTO2f/6cOO34PM71PmZE0q8LFNiwYUNcfvnlccQRR8S6deskIQt0dBiBJZOTk5MYCBCojkAmHVdeeWUMDw/Hrl274tlnd7+5OuOMM+Kmm26qzkD0lAABAhUSuPTSS+Oyyy7b0+MDDzwwzjnnnMjHly5duufxmXdyBrHdD5VmHut3AnUUMPNRx6gaUy0Fps50rF+/Pp5++uk9iUctB2xQBAgQKLHAM888E1dffbWZkBLHSNfKKSD5KGdc9IrAHgFJxx4KdwgQIFA6AUlI6UKiQyUXkHyUPEC611wBSUdzY2/kBAhUT0ASUr2Y6fFgBCQfg3F3VgJzCkg65qTxBAECBEovMDMJsbS29CHTwT4LWHDeZ3CnIzCfwJIlS+bbxfMECBAgUCEBCUiFgqWriy5g5mPRiZ2AQGcC+UfqzjvvjOOOOy7226/9f6JZ7SqPdWPgNeA14DXQ+9fAJZdc0vZ/5gcccEAcdthhceONN8bxxx7b9nF2JNAEgfbf2TRBwxgJlETg5JNPjvvuuy82btzYcRJSkiHoBgECBBonUCQdn/nMZ+KJJ56IM888s3EGBkxgPgHJx3xCnicwQAFJyADxnZoAAQJtCkg62oSyG4G8CC0FAgTKLyAJKX+M9JAAgeYJSDqaF3Mj7l5A8tG9oRYI9E1AEtI3aiciQIDAnAKSjjlpPEFgXgHJx7xEdiDQX4EVQ0PznnBmEjLvAXYgQIAAgZ4IHHXUUWFNR08oNdJQgQMaOm7DJlALgSIJGRkZiaVLl9ZiTKxxDisAAADvSURBVAZBgACBMgrk4vH8PzdvNgIEFi4g+Vi4nSMJlEbAH8PShEJHCBCoqcAxxxwTebMRINCdgK9ddefnaAIECBAgQIAAAQIE2hSQfLQJZTcCBAgQIECAAAECBLoTWDKZl0G1ESBAgAABAgQIECBAYJEFzHwsMrDmCRAgQIAAAQIECBDYLSD58EogQIAAAQIECBAgQKAvApKPvjA7CQECBAgQIECAAAECkg+vAQIECBAgQIAAAQIE+iIg+egLs5MQIECAAAECBAgQICD58BogQIAAAQIECBAgQKAvApKPvjA7CQECBAgQIECAAAEC/w9A5yGVkKIO7gAAAABJRU5ErkJggg==" alt></p>
<p>The fringe pattern formed on the screen is shown below.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></p>
<p>Determine the wavelength of the laser light.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about diffraction and resolution.</p>
<p>Two identical sources of electromagnetic radiation, S<sub>1</sub> and S<sub>2</sub>, emit monochromatic coherent waves of wavelength 59 μm. The waves pass through a circular aperture and are incident on a screen.</p>
<p><img 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" alt></p>
<p>S<sub>1</sub> and S<sub>2</sub> are at the same distance from the aperture. The diameter of the aperture is 0.18 mm. The angle between the lines joining the sources to the aperture is 0.25 rad.</p>
</div>
<div class="question">
<p>S<sub>1</sub> is turned on and S<sub>2</sub> is turned off.</p>
<p>(i) Show that the angle at which the first minimum of the diffraction pattern occurs is 0.40 rad.</p>
<p>(ii) On the axes below, sketch a graph to show how the intensity <em>I</em> of the radiation from S<sub>1</sub> varies with the diffraction angle <em>θ</em>.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABgoAAALACAYAAABCaykFAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxtpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+MTU0NjwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWURpbWVuc2lvbj43MDQ8L2V4aWY6UGl4ZWxZRGltZW5zaW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4Kz3i9IwAAQABJREFUeAHs3Q+MXfV1J/DDmtlYhHbdsi1O5Y1tsGm8CW68Wdpos4bihij/nMZQAlTqbkPjEJSgtiJg/on8WUiwE9KqLAUMC1WiCkhDk9aF0JpACG1KNyVmTRARsWsToY1pazqqrSztMJmd8YzBYzzjmeOZ99499zNSFL9599z7O59zr4c3X7/7jhoa/gpfBAgQIECAAAECBAgQIECAAAECBAgQIECAQCsF/k0ru9Y0AQIECBAgQIAAAQIECBAgQIAAAQIECBAgsE9AUOBEIECAAAECBAgQIECAAAECBAgQIECAAAECLRYQFLR4+FonQIAAAQIECBAgQIAAAQIECBAgQIAAAQKCAucAAQIECBAgQIAAAQIECBAgQIAAAQIECBBosYCgoMXD1zoBAgQIECBAgAABAgQIECBAgAABAgQIEBAUOAcIECBAgAABAgQIECBAgAABAgQIECBAgECLBQQFLR6+1gkQIECAAAECBAgQIECAAAECBAgQIECAgKDAOUCAAAECBAgQIECAAAECBAgQIECAAAECBFosICho8fC1ToAAAQIECBAgQIAAAQIECBAgQIAAAQIEBAXOAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0GIBQUGLh691AgQIECBAgAABAgQIECBAgAABAgQIECBwdJbgxEWLs6XqCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgRkS2L5zxxHtKR0UjBz1SA9+RCtXTIAAAQIECBAgQIAAAQIECBAgQIAAAQIEWiww8g/6Z+L39G491OKTSOsECBAgQIAAAQIECBAgQIAAAQIECBAgQEBQ4BwgQIAAAQIECBAgQIAAAQIECBAgQIAAAQItFhAUtHj4WidAgAABAgQIECBAgAABAgQIECBAgAABAoIC5wABAgQIECBAgAABAgQIECBAgAABAgQIEGixgKCgxcPXOgECBAgQIECAAAECBAgQIECAAAECBAgQEBQ4BwgQIECAAAECBAgQIECAAAECBAgQIECAQIsFBAUtHr7WCRAgQIAAAQIECBAgQIAAAQIECBAgQICAoMA5QIAAAQIECBAgQIAAAQIECBAgQIAAAQIEWiwgKGjx8LVOgAABAgQIECBAgAABAgQIECBAgAABAgQEBc4BAgQIECBAgAABAgQIECBAgAABAgQIECDQYgFBQYuHr3UCBAgQIECAAAECBAgQIECAAAECBAgQICAocA4QIECAAAECBAgQIECAAAECBAgQIECAAIEWCwgKWjx8rRMgQIAAAQIECBAgQIAAAQIECBAgQIAAAUGBc4AAAQIECBAgQIAAAQIECBAgQIAAAQIECLRYQFDQ4uFrnQABAgQIECBAgAABAgQIECBAgAABAgQICAqcAwQIECBAgAABAgQIECBAgAABAgQIECBAoMUCgoIWD1/rBAgQIECAAAECBAgQIECAAAECBAgQIEBAUOAcIECAAAECBAgQIECAAAECBAgQIECAAAECLRYQFLR4+FonQIAAAQIECBAgQIAAAQIECBAgQIAAAQKCAucAAQIECBAgQIAAAQIECBAgQIAAAQIECBBosYCgoMXD1zoBAgQIECBAgAABAgQIECBAgAABAgQIEBAUOAcIECBAgAABAgQIECBAgAABAgQIECBAgECLBQQFLR6+1gkQIECAAAECBAgQIECAAAECBAgQIECAgKDAOUCAAAECBAgQIECAAAECBAgQIECAAAECBFosICho8fC1ToAAAQIECBAgQIAAAQIECBAgQIAAAQIEBAXOAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0GIBQUGLh691AgQIECBAgAABAgQIECBAgAABAgQIECAgKHAOECBAgAABAgQIECBAgAABAgQIECBAgACBFgsIClo8fK0TIECAAAECBAgQIECAAAECBAgQIECAAAFBgXOAAAECBAgQIECAAAECBAgQIECAAAECBAi0WEBQ0OLha50AAQIECBAgQIAAAQIECBAgQIAAAQIECAgKnAMECBAgQIAAAQIECBAgQIAAAQIECBAgQKDFAoKCFg9f6wQIECBAgAABAgQIECBAgAABAgQIECBAQFDgHCBAgAABAgQIECBAgAABAgQIECBAgAABAi0WEBS0ePhaJ0CAAAECBAgQIECAAAECBAgQIECAAAECggLnAAECBAgQIECAAAECBAgQIECAAAECBAgQaLGAoKDFw9c6AQIECBAgQIAAAQIECBAgQIAAAQIECBAQFDgHCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAiwUEBS0evtYJECBAgAABAgQIECBAgAABAgQIECBAgICgwDlAgAABAgQIECBAgAABAgQIECBAgAABAgRaLCAoaPHwtU6AAAECBAgQIECAAAECBAgQIECAAAECBAQFzgECBAgQIECAAAECBAgQIECAAAECBAgQINBiAUFBi4evdQIECBAgQIAAAQIECBAgQIAAAQIECBAgIChwDhAgQIAAAQIECBAgQIAAAQIECBAgQIAAgRYLCApaPHytEyBAgAABAgQIECBAgAABAgQIECBAgAABQYFzgAABAgQIECBAgAABAgQIECBAgAABAgQItFhAUNDi4WudAAECBAgQIECAAAECBAgQIECAAAECBAgICpwDBAgQIECAAAECBAgQIECAAAECBAgQIECgxQKCghYPX+sECBAgQIAAAQIECBAgQIAAAQIECBAgQEBQ4BwgQIAAAQIECBAgQIAAAQIECBAgQIAAAQItFhAUtHj4WidAgAABAgQIECBAgAABAgQIECBAgAABAoIC5wABAgQIECBAgAABAgQIECBAgAABAgQIEGixgKCgxcPXOgECBAgQIECAAAECBAgQIECAAAECBAgQEBQ4BwgQIECAAAECBAgQIECAAAECBAgQIECAQIsFBAUtHr7WCRAgQIAAAQIECBAgQIAAAQIECBAgQICAoMA5QIAAAQIECBAgQIAAAQIECBAgQIAAAQIEWiwgKGjx8LVOgAABAgQIECBAgAABAgQIECBAgAABAgQEBc4BAgQIECBAgAABAgQIECBAgAABAgQIECDQYgFBQYuHr3UCBAgQIECAAAECBAgQIECAAAECBAgQICAocA4QIECAAAECBAgQIECAAAECBAgQIECAAIEWCxzd4t61ToAAAQIECBAgQIAAgQkEBmP3PRfGWy7eHAMTbDHy7bnvuz0e33B69E2yjacIECBAgAABAgQI9LqAdxT0+oSsjwABAgQIECBAgACBLgjMiePO2hjf3bktHrvnI3HyuCRgQaz6yMb42vYd8aSQoAuzcUgCBAgQIECAAIGZFhAUzLSo/REgQIAAAQIECBAgUEhgTsx70+p497K5Yz31xYILfzdu/ugZsWhOoTa1QoAAAQIECBAg0GoBQUGrx695AgQIECBAgAABAgQOKzC4J55/fnBss8XxrrctCxnBYdVsQIAAAQIECBAg0CABQUGDhmWpBAgQIECAAAECBAh0XmBw6wNx77Njn1SwYFWcsfyYzi/CEQkQIECAAAECBAjMooCgYBZx7ZoAAQIECBAgQIAAgaYLDEb/322P5/a1MXzbodVvjeXeTtD0oVo/AQIECBAgQIDAQQKCgoNAPCRAgAABAgQIECBAgMDLAs/Fw/d9K0bfT+C2Qy+7+BMBAgQIECBAgEAlAUFBpWnqhQABAgQIECBAgACBmRXY/Wh89Rv9o/uc+8Y45Q1uOzSzwPZGgAABAgQIECDQCwKCgl6YgjUQIECAAAECBAgQINCDAoOx++v3xyNjH0/Q95ZfiOV9PbhMSyJAgAABAgQIECBwhAKCgiMEVE6AAAECBAgQIECAQFWBPbH1b54Yu+3QvFj5zjfHcVVb1RcBAgQIECBAgECrBQQFrR6/5gkQIECAAAECBAgQmFBgcHt865u7R5/uOyXe8YvHT7ipJwgQIECAAAECBAg0WUBQ0OTpWTsBAgQIECBAgAABArMmMLj1gbj32dH7DvWd+vY47bg5s3YsOyZAgAABAgQIECDQTQFBQTf1HZsAAQIECBAgQIAAgR4V+GFs/YsH49l9q+uL409aGPN6dKWWRYAAAQIECBAgQOBIBQQFRyqongABAgQIECBAgACBegKDT8XmTTvG+loc73rbsvB+gnpj1hEBAgQIECBAgMCogKDAmUCAAAECBAgQIECAAIGDBfqfie89N3rboViwKs5YfszBW3hMgAABAgQIECBAoIyAoKDMKDVCgAABAgQIECBAgMDMCAzG7q/fH4/sywn6YsHqt8ZybyeYGVp7IUCAAAECBAgQ6EkBQUFPjsWiCBAgQIAAAQIECBDonsBz8fB934rR9xO8Ok5a8hq3HereMByZAAECBAgQIECgAwKCgg4gOwQBAgQIECBAgAABAg0S2P1ofPUb/aML7jsl3vGLxzdo8ZZKgAABAgQIECBAYPoCgoLpm6kgQIAAAQIECBAgQKCswIG3HYroO/Xtcdpx7jtUdtwaI0CAAAECBAgQ2CcgKHAiECBAgAABAgQIECBA4CWBf4nvb3tm7LZD82LlO98cx730nD8QIECAAAECBAgQqCkgKKg5V10RIECAAAECBAgQIJAR6P+ruPvLO0Yr3XYoI6iGAAECBAgQIECggQKCggYOzZIJECBAgAABAgQIEJgNgRdi+x/dHl/ZNfoxxnH8ibF4ntsOzYa0fRIgQIAAAQIECPSWgKCgt+ZhNQQIECBAgAABAgQIdEVgd2z54ifj4g2Pjt12aHgRz30zvvTgjhjsynoclAABAgQIECBAgEDnBI7u3KEciQABAgQIECBAgAABAj0mMPBQXHby+fFHLxxiXQNb4661q+Ku4afmvu/2eHzD6dF3iM18iwABAgQIECBAgEDTBQQFTZ+g9RMgQIAAAQIECBAgkBfoOz2u++6OuC6/B5UECBAgQIAAAQIEGi/g1kONH6EGCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAXkBQkLdTSYAAAQIECBAgQIAAAQIECBAgQIAAAQIEGi8gKGj8CDVAgAABAgQIECBAgAABAgQIECBAgAABAgTyAoKCvJ1KAgQIECBAgAABAgQIECBAgAABAgQIECDQeAFBQeNHqAECBAgQIECAAAECBAgQIECAAAECBAgQIJAXEBTk7VQSIECAAAECBAgQIECAAAECBAgQIECAAIHGCwgKGj9CDRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgbyAoCBvp5IAAQIECBAgQIAAAQIECBAgQIAAAQIECDReQFDQ+BFqgAABAgQIECBAgAABAgQIECBAgAABAgQI5AUEBXk7lQQIECBAgAABAgQIECBAgAABAgQIECBAoPECgoLGj1ADBAgQIECAAAECBAgQIECAAAECBAgQIEAgLyAoyNupJECAAAECBAgQIECAAAECBAgQIECAAAECjRcQFDR+hBogQIAAAQIECBAgQIAAAQIECBAgQIAAAQJ5AUFB3k4lAQIECBAgQIAAAQIECBAgQIAAAQIECBBovICgoPEj1AABAgQIECBAgAABArMhcPddd8fevXtnY9f2SYAAAQIECBAgQKCnBAQFPTUOiyFAgAABAgQIECBAoBcEdu3aFZetuzQ23rKxF5ZjDQQIECBAgAABAgRmVUBQMKu8dk6AAAECBAgQIECAQBMFbrnp5hgYGIgbb7ghRkIDXwQIECBAgAABAgQqCwgKKk9XbwQIECBAgAABAgQITFtgy5YtsWnTn8Zzf//3cfmVV8RVV1w57X0oIECAAAECBAgQINAkAUFBk6ZlrQQIECBAgAABAgQIzLrAjTf8z/jQhRfGi4ODce5558Xjj2+JR77xyKwf1wEIECBAgAABAgQIdEtAUNAtecclQIAAAQIECBAgQKDnBO6797545pmd8YG1a/et7dhjj41P/o9r4pOf+HjPrdWCCBAgQIAAAQIECMyUgKBgpiTthwABAgQIECBAgACBRgvs3bs3fudz18fVH/v4uD7e+a53xsKFi+K2W28d930PCBAgQIAAAQIECFQREBRUmaQ+CBAgQIAAAQIECBA4IoG77rxzXyCw8tSVr9jPhy/6SNx8000xEib4IkCAAAECBAgQIFBNQFBQbaL6IUCAAAECBAgQIEBg2gK7du2KT1/7qbjs8ssPWbtixYpYvfo9cf1nPnvI532TAAECBAgQIECAQJMFBAVNnp61EyBAgAABAgQIECAwIwKfWb8+PnzRRbFk6ZIJ93fBhR+KTZv+NLZ9b9uE23iCAAECBAgQIECAQBMFBAVNnJo1EyBAgAABAgQIECAwYwJbtmyJhx9+OD54wQcn3ef8+fPjQxdeGNd9+tOTbudJAgQIECBAgAABAk0TEBQ0bWLWS4AAAQIECBAgQIDAjAp86ppr4pJL18Wxxx572P2ee9558cwzO+O+e+877LY2IECAAAECBAgQINAUAUFBUyZlnQQIECBAgAABAgQIzLjA3XfdHf39/XHOuedMad8jYcLVH/t4/M7nrvfBxlMSsxEBAgQIECBAgEATBAQFTZiSNRIgQIAAAQIECBAgMOMCe/fujc9sWB8bPju9DyheeerKWLhwUdx1550zviY7JECAAAECBAgQINANAUFBN9QdkwABAgQIECBAgACBrgtsvGVjnHbaabFixYppr+Wyyy+Pm2+6KXbt2jXtWgUECBAgQIAAAQIEek1AUNBrE7EeAgQIECBAgAABAgRmXWDkF/w33nBDXLJuXepYS5YuidWr3xO33HRzql4RAQIECBAgQIAAgV4SEBT00jSshQABAgQIECBAgACBjgj82aZNcfmVV8T8+fPTx7v4ko/Gd77zhM8qSAsqJECAAAECBAgQ6BWBo4aGvzKLOXHR4ti+c0emVA0BAgQIECBAgAABAgR6XuCoo46K5Mulnu/NAgkQIECAAAECBGoIzNTv6b2joMb5oAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIAojX4MAADCdSURBVECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkIClJsiggQIECAAAECBAgQIECAAAECBAgQIECAQA0BQUGNOeqCAAECBAgQIECAAAECBAgQIECAAAECBAikBAQFKTZFBAgQIECAAAECBAgQIECAAAECBAgQIECghoCgoMYcdUGAAAECBAgQIECAAAECBAgQIECAAAECBFICgoIUmyICBAgQIECAAAECBAgQIECAAAECBAgQIFBDQFBQY466IECAAAECBAgQIECAAAECBAgQIECAAAECKQFBQYpNEQECBAgQIECAAAECBAgQIECAAAECBAgQqCEgKKgxR10QIECAAAECBAgQIECAAAECBAgQIECAAIGUgKAgxaaIAAECBAgQIECAAAECBAgQIECAAAECBAjUEBAU1JijLggQIECAAAECBAgQIECAAAECBAgQIECAQEpAUJBiU0SAAAECBAgQIECAAAECBAgQIECAAAECBGoICApqzFEXBAgQIECAAAECBAgQIECAAAECBAgQIEAgJSAoSLEpIkCAAAECBAgQIECAAAECBAgQIECAAAECNQQEBTXmqAsCBAgQIECAAAECBAgQIECAAAECBAgQIJASEBSk2BQRIECAAAECBAgQIECAAAECBAgQIECAAIEaAoKCGnPUBQECBAgQIECAAAECBAgQIECAAAECBAgQSAkcnapSRIAAAQLjBI466qhxjz0gQIAAAQIEagj4GV9jjrogQIAAAQIHCwwNDR38LY8JtFpAUNDq8WueAIGZFGjrf2SM/AJF7zN5JjVjX+bezhcV5m7uzfgbauZW2eZzfkSxzf3r3d93M/c3STP25Jx3zjfjTJ25VY6c874IEBgv4NZD4z08IkCAAAECBAgQIECAAAECBAgQIECAAAECrRIQFLRq3JolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLjBQQF4z08IkCAAAECBAgQIECAAAECBAgQIECAAAECrRIQFLRq3JolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLjBQQF4z08IkCAAAECBAgQIECAAAECBAgQIECAAAECrRIQFLRq3JolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLjBQQF4z08IkCAAAECBAgQIECAAAECBAgQIECAAAECrRIQFLRq3JolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLjBQQF4z08IkCAAAECBAgQIECAAAECBAgQIECAAAECrRIQFLRq3JolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLjBQQF4z08IkCAAAECBAgQIECAAAECBAgQIECAAAECrRIQFLRq3JolQIAAAQIECBAgQIAAAQIECBAgQIAAAQLjBQQF4z08IkCAQEpgaGgoVVehSO8Vpjj9Hsx9+mYVKsy9whSn34O5T9+sSoXZV5nk9Pow9+l5Vdna3KtMcnp9mPv0vGxNoLqAoKD6hPVHgAABAgQIECBAgAABAgQIECBAgAABAgQmERAUTILjKQIECBAgQIAAAQIECBAgQIAAAQIECBAgUF1AUFB9wvojQIAAAQIECBAgQIAAAQIECBAgQIAAAQKTCAgKJsHxFAECBAgQIECAAAECBAgQIECAAAECBAgQqC4gKKg+Yf0RIECAAAECBAgQIECAAAECBAgQIECAAIFJBAQFk+B4igABAgQIECBAgAABAgQIECBAgAABAgQIVBcQFFSfsP4IECBAgAABAgQIECBAgAABAgQIECBAgMAkAoKCSXA8RYAAAQIECBAgQIAAAQIECBAgQIAAAQIEqgsICqpPWH8ECBAgQIAAAQIECBAgQIAAAQIECBAgQGASAUHBJDieIkCAAAECBAgQIECAAAECBAgQIECAAAEC1QUEBdUnrD8CBAgQIECAAAECBAgQIECAAAECBAgQIDCJgKBgEhxPESBAgAABAgQIECBAgAABAgQIECBAgACB6gKCguoT1h8BAgQIECBAgAABAgQIECBAgAABAgQIEJhEQFAwCY6nCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAdQFBQfUJ648AAQIECBAgQIAAAQIECBAgQIAAAQIECEwiICiYBMdTBAi0SeCF2Png52PDb6yMExct3ve/171nXdxyz5bon1GGwejf8pW4bf0H4i1jxxk93spYu/7W+OMtu6dxtE6teRpLsimBRgh0+doZ/G7cdubyfX/PvP7Sh2JgSmZdXvOU1mgjApUEXHOVpqmXKgJdvC797K5yEumjMQKduN69Nm/M6WChHRMQFHSM2oEIEOhZgcEd8cAV58Tbz781vrfs6vja9h2xfedTcf9Fx8RXLzsn3vUbt8aW/sEZWP7ueGz92fHmNZfGHU8vjYu//LfDxxk51o54+qGrY9nTn49L1pwe713/14cPJzq25hlo2y4I9JJA16+dF2L77Z+Iz357z9RVur7mqS/VlgRKCLjmSoxRE8UEunpd+tld7GzSTq8LdOR699q8108D6+uSwFDy64SFi5KVyggQINBDAi9uG7pn7X8dOmHhyUO/fN03h/5p3NL+39C2jecO/ezw33c/u2bj0LYXxz05zQf797V06L+svXtox6H29eJTQ7euOXnfWs7a+NTQoTbZd9COrXmaLdqcQK8L9MC18+K2jUNnLVk0fJ2P/u8/XvLg0L9O5tYDa55seZ4jUE7ANVdupBoqINDl69LP7gLnkBaaI9CR691r8+acEFY6VYGZ+j29dxR0KaBxWAIEekFg5F8HXRVX/MWzEfPfHb95wc/HvHHLmhsnnv/ROH9BXwx8+4ZYd/t3I/2+gt33xXUbHh2+xcji+OUL3x2L5ow70OiDOa+L//6Rd8Tc2BNbNnwu/mT3oY7WwTUfYom+RaC5Aj1w7QzftuCOS26ILVO719AwdQ+subkDt3ICCQHXXAJNCYFZFujydeln9yzP1+4JHCjQoevda/MD0f2ZwDgBQcE4Dg8IEGiVwEv/gdAXC9acFafOO8Rv7+csizNWLx5mGfnl/Sfiju0vJIgGY/fX749HRn45OPeNccobjplwH32Ll8TSkWcHnoj//X8OcWuSjq15wiV6gkAzBbp+7Yy88Bm+5dATS+Lss14/NcOur3lqy7QVgTICrrkyo9RIIYGuXpd+dhc6k7TSBIGOXO9emzfhVLDG7gkICrpn78gECHRV4Iex5bZb4sF9/7L31XHSktfEIWKC4RUeE8vftioWjKx14LH4wpeeTLyr4Eex5/n+0Q8sfWH4MwmenfI/Jz5IqJNrPujQHhJotED3r53B7V+IdRuejDdc+vFY+7qJw8KXmbu/5pfX4k8E2iDgmmvDlPXYNIHuXpd+djftfLHeZgt06nr32rzZ54nVz7aAoGC2he2fAIHeFBh8KjZv2jG2tp+OpSeMv+nQgYue89qlcVLfyHcG4tlND8TWQ90R6MCCSf/8eHzhi1snDBsGdmyL743U950cP/9zPzZ+T11b8/hleESgcQLdvnbGblvwnZMvivXnL5sglDxItdtrPmg5HhIoL+CaKz9iDTZQoJvXpZ/dDTxhLLnRAl253r02b/Q5Y/GzIiAomBVWOyVAoNcFBrc+EPfu/5f9fQtjyWtfNfGS5y2MpcfvSwoinn0wNm/94cTbHvKZvvgP//lNo+9KGAkbbrs2rn9s9yG2/If4y/v/Zviu5H0xf83Zseq48e9x6OyaD7E83yLQUIHuXjtjty34v6fFp67/tThx/GU9oWh31zzhsjxBoKyAa67saDXWYIHuXZd+djf4tLH0hgp07nr32ryhp4hld0hAUNAhaIchQKCXBAaj/++2x3P7lzTnJ+InfnyS397N+bH4yZ/c//z345t/O/zhx9P8mrPi1+I3f2nsXQsDW+KWc8+PKzfvOOCdBS/Ezns+GVd98ZnoW35B/N4Vqw76YOXOr3maLdqcQI8KdPfaGb1twQ/ivZ+6Os5cPHeKRt1d8xQXaTMChQRcc4WGqZUyAt27Lv3sLnMSaaQxAp293r02b8yJYaFdEBAUdAHdIQkQ6LbAv8T3tz0z+pkBI0s5aUksHnvDwOFXNhj/9PyeA37Bf/iK0S1+Js68fkOcPX/sQANb4661/y0+dOtj0T+8t/7HbozfuuzPI37pirjz878Vb3rFByt3Y81T7c12BHpZoIvXzr7bFvx+/GDNlXHZqp+aBlIX1zyNVdqUQB0B11ydWeqkjkCXrks/u+ucQjppkECnr3evzRt0clhqhwWO7vDxHI4AAQI9IPCv0b/7n5PrGIh/HK790XD1/vcYTHlH886Ia++8JvrPuyo27xr5QONn48Fr3x+//ujr4x++8cNYee3d8QfvW3HQOwn2771La95/eP9PoLEC3bp29t+24B1x0+0Hv0PocJjdWvPh1uV5AlUFXHNVJ6uvJgt047r0s7vJZ4y1N1mgC9e71+ZNPmGsfRYFvKNgFnHtmgABAgcLzFn8vrjxzt+Nc5fv/6DiPfHE1x6N3cv+U7z1lGUThAQH78VjAgR6XeDl2xb8dpz+incI9frqrY8AAQIECLRPwM/u9s1cx+0W8Nq83fPX/aEFBAWHdvFdAgQIzJrAnMW/EL+y+s0x/4AjDGz9g7jgbecc9LkFB2zgjwQINEcgfduC5rRopQQIECBAoJSAn92lxqkZAlMV8Np8qlK2a4uAoKAtk9YnAQK9ITC4Pf74g++NX/lfr4qLH/qr+NKVZ7wcGIx9bsGH79me+AyE3mjPKggQePm2Bde84kPJ6RAgQIAAAQK9J+Bnd+/NxIoIdEDAa/MOIDtE0wQEBU2bmPUSIDADAv825h3348n99MW/H65N/eXZ/9exYc2auOShBXH5H34mzlz8M7Fi7U1x75eviFX7P+R4+HMLNl/86/HKsKBLa04qKSPQOwKdvXZm5rYFnV1z78zKSgh0S8A11y15xyUwsUDnrks/uyeegmcIdEagc9f7S/14bf4ShT8QOFDAhxkfqOHPBAj0rMDAg+vijed/MV444hXOj7Nv/7O4ZMnC6IunY+QjhQ/7Nbgnnn9+cGyzV8dJS14z/Q8yHn47823nXxC3bI1YceXH4v0nzh3b35yYt2Jt3Hznv4sPH/Ahx5svuyrueOMd8YGXtntVvLbTaz4sjA0IzI5AY6/34Rcc1//278cP1myI21b91BHguN6PAE8pgYSAay6BpoTALAt06Lr0s3uW52j3BKYi0KHrff9SvDbfL+H/CbxCQFDwChLfIECgFwX6Vq2PJ3eun7GlDW45MY6PzcP/fn/46+ltsWM4MVjUN8Huf/TP8fw/7o8UfjqWnjBvgg0n+vZg7P7K5+Kz394T0XdG/OqZS18RNIx+kFK8HBYMPBZf+NKT8f51bxrbdjhQOKGTa56oF98nMPsCTb3eB/5/e3cDZWVZJwD837Kzh6NpCGtyjJJxxHBLNnAt0rQE8ZSGIH6sxvoRiK6ufewR8CPLzdIUdM2zFiJKSWt+kIhpXyqj6Wa2BMPBWl1hGnTJdFlwzPJQNM2+984dnHe4w8y8Mwwz9/3dczhzn/c+z/M+/99zX8e5//s87+rlccfaxti69rw47N6uOW29d0aMbq075vJY8d1ZMTK56l3vXfNTi0DvCLjmesdRLwR6U6Bvrku/u3tzzvRFIKtA31zvLaPzt3nWWdIuHwKZds/IB40oCRCoZIFBY46NE0aUMgNbG6J+Y2sioEzUG9fHc61LGUZMiElj9ihTaWeHXokff39ly+qF/WqiesigspWLyYI758TY4rC2xcYHH421rQsZkhZ9O+ayQ3SQwIAUGIjXzkAc84B8cxg0gZKAa85bgUD/Exho1+VAG2//m3EjyrNA310//jbP8/tM7J0LSBR0bqQGAQKVKDDokJg0uboU2br42epNHUa5rWF9rCu+WhUjJh8bY8p/zt9h+4jfxZZNpUzD0KGxz07aD6o5IT5xdGnFwv9ticY/t+m2T8fc5ryeEhjoAn107bSshEgSjxt29u/5WPG5w7eLDj5tcTzXWr+4mqD0Uh+NeftAPCGQdwHXXN7fAeLvjwJ9cF363d0fJ96YcinQB9d7i6u/zXP5/hJ0lwUkCrpMpSIBApUlsEeMOeWU0rf3f5/sPvSbaPPl/TahvhG/WLmm5d4IVYfFmae8Z4dtg9pU7uDpW2PovqV7EmzZEq+WP1Gp7b4xbvyo4vOqIz8QY1LbIfXlmDsIxWECA1JgIF47A3HMA/LNYdAESgKuOW8FAv1PYKBdlwNtvP1vxo0ozwJ9df342zzP7zKxdy4gUdC5kRoECFSowKCaM+O6ueOTmxon2/zcf1880VjmE/ymZ+ORBxsSgb1i7Ny2NyHuDsp+8eHjD0/Okzw21sYja9/YSeNNsfrpwvqFIXHU8eNjWLuafTfmdidWJDDABQbitTMQxzzA3yaGn3MB11zO3wDC75cCA+26HGjj7ZeTblC5Feib68ff5rl9gwm8SwISBV1iUokAgcoUGBw1M66M2eP2inj5ofja0nXtVhVsjfrF18fi5P4FVeM+FdfNGF1+NUHjT2PeiWOiZmR1jD7xhli1Q8JhUAybeklcc9yIhPH5WHzlgjJ1CsJN0bjqrljyRGNyvgvj0qn7l2HvpTGX6dkhApUt0EvXTqfXe28q9tKYe3NI+iJQ0QKuuYqeXsENUIFeuC797h6gc2/Y+RPoheu9gLbTa97f5vl7X4m4WwLNGR8HHjAyY0vNCBAg0M8EXn2q+brJhzYfeNCJzZfcs7r51cLw/vSr5tr5M5uPOGBU8xEzbm1e/eqfOhj0H5sbbj21ufDfxJZ/o5un3Prf5ev+aX3zfbM+VKz37slzmxet+FXz9l4L57t1bvOUgzo7X6nrHo25/PAcJZALgR5dO9243jvETPfxN3Nqm//YYd3SCz0ac2ede50AgR0EXHM7kDhAYLcLZL4u0793DzxgJ/+v3mGQ6T787u4QygsEekcg8/VeOH36eu3wmve3ee/MlV76jUBvfU7/lkJE3coslCoXvjlbuFmfBwECBCpDYHPU3XdbfH3+7VH78rYkpKoYPvGTce700+OsCdXlVxK0Bl74xsJZ58fCtVuTNnPi5htmxNghHd2xeGtsqP1OPLry8fjGghXxcmsfMSImXPAPccThx3V+vu1tejDm7X14QiCPAj24drp1vZez3RYbFk2PiVevLL5YuJnxmnnHtGxNVq769mM9GPP2PjwhQKDrAq65rlupSaCvBDJel35399UEOQ+BXhTIeL0XRtDla97f5r04YbrazQK99Tm9RMFunkinJ0CAAAECBAgQIECAAAECBAgQIECAAAECWQR6K1HgHgVZ9LUhQIAAAQIECBAgQIAAAQIECBAgQIAAAQIVIiBRUCETKQwCBAgQIECAAAECBAgQIECAAAECBAgQIJBFQKIgi5o2BAgQIECAAAECBAgQIECAAAECBAgQIECgQgQkCipkIoVBgAABAgQIECBAgAABAgQIECBAgAABAgSyCEgUZFHThgABAgQIECBAgAABAgQIECBAgAABAgQIVIiAREGFTKQwCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAFgGJgixq2hAgQIAAAQIECBAgQIAAAQIECBAgQIAAgQoRkCiokIkUBgECBAgQIECAAAECBAgQIECAAAECBAgQyCIgUZBFTRsCBAgQIECAAAECBAgQIECAAAECBAgQIFAhAhIFFTKRwiBAgAABAgQIECBAgAABAgQIECBAgAABAlkEJAqyqGlDgAABAgQIECBAgAABAgQIECBAgAABAgQqRECioEImUhgECBAgQIAAAQIECBAgQIAAAQIECBAgQCCLgERBFjVtCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAhQhIFFTIRAqDAAECBAgQIECAAAECBAgQIECAAAECBAhkEZAoyKKmDQECBAgQIECAAAECBAgQIECAAAECBAgQqBABiYIKmUhhECBAgAABAgQIECBAgAABAgQIECBAgACBLAISBVnUtCFAgAABAgQIECBAgAABAgQIECBAgAABAhUiIFFQIRMpDAIECBAgQIAAAQIECBAgQIAAAQIECBAgkEVAoiCLmjYECBAgQIAAAQIECBAgQIAAAQIECBAgQKBCBCQKKmQihUGAAAECBAgQIECAAAECBAgQIECAAAECBLIISBRkUdOGAAECBAgQIECAAAECBAgQIECAAAECBAhUiIBEQYVMpDAIECBAgAABAgQIECBAgAABAgQIECBAgEAWAYmCLGraECBAgAABAgQIECCwiwSaorFueSycOyVGj6yOmsK/UVPi0luWR11jUy+csyk233dejP7QdVHXG931wogyd9FYF8tuuSSmjjokpi56PnM3GhIgQIAAAQIECBCQKPAeIECAAAECBAgQIECgnwhsjrpFF8QJJ30hfhBnxF1r1kf9hmdjxbXviiev/ec446yvxqqeJgua1sX9d66M/SYfG2MG9ZOwuzWMrbGhdknMm3lU1LxvWsy59t54Zlu3OlCZAAECBAgQIECAwA4CEgU7kDhAgAABAgQIECBAgECfCzTVx7LzpsYpVz8d+16wML457/QYO6TwSf7gGHnyZXHxxCGxbe0d8ZWl66InCwGa1j4Q31r99jjhuENiQOYJGr4Vn728Nrb0+QQ5IQECBAgQIECAQCULSBRU8uyKjQABAgQIECBAgMBAECgkCS44J+Y8vDGqxn0qbpj9wRiSGve+MW78qOTI61F3xwOxNnOm4I1Y+3BtbBwxISaN2SN1hgFTqJ4Vy5/+Zlx7+z0xP0meeBAgQIAAAQIECBDoDQGJgt5Q1AcBAgQIECBAgAABAhkFtkb94ivi8iRJEFXjY/b8M6Nmh6/6V8U7aqqTtQXJ45X6aMi6/VDTs/HIgy/GiAG77VBb4j1in2FFkbYHPSdAgAABAgQIECCQSUCiIBObRgQIECBAgAABAgQI9IZAU91NMSPZbmhbVMXwk2bEKTWdfPi9rTG2/PbPmU7dtPbR+N7Gdw3cbYcyRa0RAQIECBAgQIAAgc4FJAo6N1KDAAECBAgQIECAAIFdIdD0XHzjS3dGspYgWU3wkbj4kgntthxqPem2+HV9Q2xtLWb62bLt0CvjTomTB+q2Q6m494zqUe9MHVEgQIAAAQIECBAgkFVAoiCrnHYECBAgQIAAAQIECPRAoCk2L//XuH7160kfhdUEp8aEYTvsOdSD/ts1LW479GocNf2EMlsbtaurSIAAAQIECBAgQCBnAhIFOZtw4RIgQIAAAQIECBDoFwJNa+L2Gx9PthwqPKpjyhlHdrCaoPD676Nh3f8UnmR+FLcdeuV98bGP7Je5Dw0JECBAgAABAgQIVKqAREGlzqy4CBAgQIAAAQIECPRjgZb7BbSkCWLEhJi0s+2Amupj5VObW6IZXB01I6q6GVlp26GjPxofzrxqYWtsqF0S82YeFTUnLooNhRE01sWy686NI0cmYxp5VMxatCoaUyMrtPn3WDh3Sowu1inUK9W9blEsqyvFlGrTrlA4xy2XxNRRrW0PjiNn3hiPNfRsI6Z2Z1EkQIAAAQIECBDIuYBEQc7fAMInQIAAAQIECBAg0PcCL8UDN9/dcm+CZNuhEZOPjTE723Wo8YVY90opqXDwQVHd3TxB67ZDx4+PYd0NdvsH9YfExBlXxsIVxTsqJEmCn8a8s86OOQtWxMvFPjdG7byFUbu5qeUMSXJj2XmTkjZXxZLNH4+71qyP+g3rY9X9l8eE4a9E7YJrYs5JJ8eltZs6GFGSZHjkizH18L+PG1YOjbPu/XnSviHq638UXz7kl3HFcWfE1f/xmw7aOkyAAAECBAgQIECgewISBd3zUpsAAQIECBAgQIAAgZ4KbH46fvBE63fvq+OE4w6JjvMEyb0MHv9hPFnMEyRJhSPHRXdv4Zt926GXYtnFn44lK1+MTaU8RTH05CbM9869MX519v3xfH1t3HbRxBheuM/CMcfGuCGFSDbFY5fNjDkPJ0mFwk2a582IscXjg2LI2Flxy4KZMaLY0Qux9AuLo66UW3iTtSkaa6+K6bO+Gc8dOieW3HpJTBtbSnEMqo5jZt8cd15bHf/141LS4s2GnhEgQIAAAQIECBDIJPCXmVppRIAAAQIECBAgQIAAgUwCbT/4L3TwfCw86T2xsEt9dZZUKNdJ67ZD52fYdmj/mHb7kzEtkjHfd0EcefEjLfdU+OUj8Z9T7417Tq4pJjiOmX1b/GR2m3NvfjK+ff8LLQf2q4nqYpLgzdcHvff98cHBt8TSwu5BG1fFqhe3xdg2yySa6hfHueffFS9XjY/L5p9Z5ubLg2Pk1HNiyo0/ioUb22Yw3jyHZwQIECBAgAABAgS6I2BFQXe01CVAgAABAgQIECBAoIcCr8fanz1TuolxskLggu/E84UtdTr6t+qGmNC61VBn9zIoN7KebDu0vb9BMWzc4TG6tTxienxuxuidrIJordjBz7/YO4b+dWtQ7etsiicW3hl1yef/VUefGifVDG5foaU8qCYOP6LbGymV78tRAgQIECBAgACB3AtIFOT+LQCAAAECBAgQIECAQB8KtL0xcXS2QqDt6oMu3MugTBjZtx0q01nroaFDY5+O90qKGHZUfOKkA5Lae8XYs6fseP+FQXvF0KEddLB9NcLgGD3+vTu5p8JfxZBhe7eOyE8CBAgQIECAAAECPRKw9VCP+DQmQIAAAQIECBAgQKBbAi+ujqdat8vpdIXAK/Hj768srT7oLKlQbhTJt/Pv+kG8cvSnM2w7VK6/rh7bN46Z93jUz2tXv6khHrvjofjR8kWxdG1h36H2j7aJkcGx79C3tq/QplwV+wx9W5uypwQIECBAgAABAgSyC1hRkN1OSwIECBAgQIAAAQIEuimwrWF9rCu1GXzE++O9HXyxvlilzU2PqyaeHzPH7tG9sxW/nf9aHHX8+J18M797XXa/dnJj4rrlsXDulBhdc1Z8e9PgeP8XF8ZlY8ptKfSHeHH9C6XESPfPpAUBAgQIECBAgACBrAJWFGSV044AAQIECBAgQIAAgW4KbItf1zdEy3fph8QRH3h3dLRTf8QbUXfbwqgt3qv3gJg6/ahufthf+nZ+HB7XfGS/bo6zN6oXEgQPxK033xgLnxgap879bPyw/pgYWUyMPB+3lT3FH6Nx829Lr2yNTVt+V7aWgwQIECBAgAABAgR6W0CioLdF9UeAAAECBAgQIECAQBcE3h6jDhzScb3Gn8Q99zcUX68aNz1mfXjfjuuWfaVl26I4+vN9vO1QYTBbY8N9c2L6xQ/Fy8M/HvMfnh/TqsutICg78NLBpnh1y+vRlJR2tuhiZz14jQABAgQIECBAgEBXBWw91FUp9QgQIECAAAECBAgQ6EWBt8XQIR2tJ0hWA6xYGstfTpYTVI2P2fPPjJruflpe3LYodsO2Q8lKgtqrWpIEhZsZz/ynmNLlJMGeUT3qnSXjbbHxwUdjbSFT4EGAAAECBAgQIEBgFwtIFOxiYN0TIECAAAECBAgQINAqUBXvqKmOTr9b31gb8+c/nuzVn3zQPvfK+GRNpy1aT1D6Wdp2aL/T48Kp+7d7bVcXX4+6Hz4WLxdPs2ccVDO8GysCquKdf3dYjGgd4sa74+vLX2ot+UmAAAECBAgQIEBglwlIFOwyWh0TIECAAAECBAgQINBeoOpvPxBHFBcSvBZbGos3IGhXJbk3wcLrY2nySfvw466I62eM7sYH7a1dFbYdWhP7TT42xnR3JUJrF73yc3P8dGV9cfugtt01NayJn/9v+aUCg8aeGZ+Z2LolU2PUXnpRzFu1uW3zlueNj8ctt68pHd8azz39iyhTa8d2jhAgQIAAAQIECBAoIyBRUAbFIQIECBAgQIAAAQIEdpHAsI/GhecenHTeEN97+Nl2H6IXtu35cly0oCGGT5wTN887uXTz326Opbjt0D5xwnGHZEgydOFcz6+PhnI5jmLTv4ohw/YudZJsH3TbVfGFRxpa4mysi2XXnRsTPvP9+MP206yLn63eFMmdj2Pp9cvimab9Y8oVl8Wk4aVtmbbVxcLTZ8Slix6LDcXcQuEmyXfHpTOWRBxZcGx5bFvxLzFz7udj1ocujGWbyychWuv6SYAAAQIECBAgQKC9gERBexFlAgQIECBAgAABAgR2ocAeMXb2TXHZuMHpD9GT78PX3fv5OOf8h2LfT3w17rx1VowdkmU5QOu2QxNi0pg9eieOpvpY9pUl8Uxrb1ufinu+u+NKgZaXk/jOnx2nbv+gf23cPWtCHDyyOmred3YseW1a3HH/NTH5PXuWektWDVx8ZNR8dEG8NvHDcWgS8qDqk+PaBXNiQps+ll49IyYm2zbVjDwoDjvpa9E4/XMxa3T7+IbHx/7tSzFtWBa31uD8JECAAAECBAgQyKPAW5qTR5bAa5L/0a3f0JClqTYECBAgQIAAAQIECORdoKkhHlt8S9w07954pvjt/BEx4YKz4mPHTYtpY4f1QOelWDZzatx08IKoveSwHq4o2BYbFk2PiVev7HA8g09bHGvmHRPtb8vc1PBI3PTlq+JrKzYW21aNOS1mf/Yf45MTqpMxJasCVn01zjn95iT2veLQ0y6PKy8/dcfESGEFwt13x5IbWo2qkpUWM+Pii85NjPZuGdvte8f5Mz8ek06dvGP7DkftBQIECBAgQIAAgUoR6K3P6SUKKuUdIQ4CBAgQIECAAAECBAgQIECAAAECBAgQyJVAbyUKbD2Uq7eNYAkQIECAAAECBAgQIECAAAECBAgQIECAQFpAoiDtoUSAAAECBAgQIECAAAECBAgQIECAAAECBHIlIFGQq+kWLAECBAgQIECAAAECBAgQIECAAAECBAgQSAtIFKQ9lAgQIECAAAECBAgQIECAAAECBAgQIECAQK4EJApyNd2CJUCAAAECBAgQIECAAAECBAgQIECAAAECaQGJgrSHEgECBAgQIECAAAECBAgQIECAAAECBAgQyJWAREGupluwBAgQIECAAAECBAgQIECAAAECBAgQIEAgLSBRkPZQIkCAAAECBAgQIECAAAECBAgQIECAAAECuRKQKMjVdAuWAAECBAgQIECAAAECBAgQIECAAAECBAikBSQK0h5KBAgQIECAAAECBAgQIECAAAECBAgQIEAgVwISBbmabsESIECAAAECBAgQIECAAAECBAgQIECAAIG0gERB2kOJAAECBAgQIECAAAECBAgQIECAAAECBAjkSkCiIFfTLVgCBAgQIECAAAECBAgQIECAAAECBAgQIJAWkChIeygRIECAAAECBAgQIECAAAECBAgQIECAAIFcCUgU5Gq6BUuAAAECBAgQIECAAAECBAgQIECAAAECBNICEgVpDyUCBAgQIECAAAECBAgQIECAAAECBAgQIJArAYmCXE23YAkQIECAAAECBAgQIECAAAECBAgQIECAQFpAoiDtoUSAAAECBAgQIECAAAECBAgQIECAAAECBHIlIFGQq+kWLAECBAgQIECAAAECBAgQIECAAAECBAgQSAtIFKQ9lAgQIECAAAECBAgQIECAAAECBAgQIECAQK4EJApyNd2CJUCAAAECBAgQIECAAAECBAgQIECAAAECaQGJgrSHEgECBAgQIECAAAECBAgQIECAAAECBAgQyJWAREGupluwBAgQIECAAAECBAgQIECAAAECBAgQIEAgLSBRkPZQIkCAAAECBAgQIECAAAECBAgQIECAAAECuRKQKMjVdAuWAAECBAgQIECAAAECBAgQIECAAAECBAikBSQK0h5KBAgQIECAAAECBAgQIECAAAECBAgQIEAgVwISBbmabsESIECAAAECBAgQIECAAAECBAgQIECAAIG0gERB2kOJAAECBAgQIECAAAECBAgQIECAAAECBAjkSkCiIFfTLVgCBAgQIECAAAECBAgQIECAAAECBAgQIJAWkChIeygRIECAAAECBAgQIECAAAECBAgQIECAAIFcCUgU5Gq6BUuAAAECBAgQIECAAAECBAgQIECAAAECBNICEgVpDyUCBAgQIECAAAECBAgQIECAAAECBAgQIJArAYmCXE23YAkQIECAAAECBAgQIECAAAECBAgQIECAQFpAoiDtoUSAAAECBAgQIECAAAECBAgQIECAAAECBHIlIFGQq+kWLAECBAgQIECAAAECBAgQIECAAAECBAgQSAtIFKQ9lAgQIECAAAECBAgQIECAAAECBAgQIECAQK4EJApyNd2CJUCAAAECBAgQIECAAAECBAgQIECAAAECaQGJgrSHEgECBAgQIECAAAECBAgQIECAAAECBAgQyJWAREGupluwBAgQIECAAAECBAgQIECAAAECBAgQIEAgLSBRkPZQIkCAAAECBAgQIECAAAECBAgQIECAAAECuRKQKMjVdAuWAAECBAgQIECAAAECBAgQIECAAAECBAikBSQK0h5KBAgQIECAAAECBAgQIECAAAECBAgQIEAgVwISBbmabsESIECAAAECBAgQIECAAAECBAgQIECAAIG0gERB2kOJAAECBAgQIECAAAECBAgQIECAAAECBAjkSkCiIFfTLVgCBAgQIECAAAECBAgQIECAAAECBAgQIJAWkChIeygRIECAAAECBAgQIECAAAECBAgQIECAAIFcCUgU5Gq6BUuAAAECBAgQIECAAAECBAgQIECAAAECBNICEgVpDyUCBAgQIECAAAECBAgQIECAAAECBAgQIJArAYmCXE23YAkQIECAAAECBAgQIECAAAECBAgQIECAQFpAoiDtoUSAAAECBAgQIECAAAECBAgQIECAAAECBHIlIFGQq+kWLAECBAgQIECAAAECBAgQIECAAAECBAgQSAtIFKQ9lAgQIECAAAECBAgQIECAAAECBAgQIECAQK4EJApyNd2CJUCAAAECBAgQIECAAAECBAgQIECAAAECaYG3NCeP9KGulWpGVnetoloECBAgQIAAAQIECBAgQIAAAQIECBAgQIDALhOo39DQo74zJwp6dFaNCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgX4hYOuhfjENBkGAAAECBAgQIECAAAECBAgQIECAAAECBHaPgETB7nF3VgIECBAgQIAAAQIECBAgQIAAAQIECBAg0C8EJAr6xTQYBAECBAgQIECAAAECBAgQIECAAAECBAgQ2D0CEgW7x91ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAvxCQKOgX02AQBAgQIECAAAECBAgQIECAAAECBAgQIEBg9whIFOwed2clQIAAAQIECBAgQIAAAQIECBAgQIAAAQL9QkCioF9Mg0EQIECAAAECBAgQIECAAAECBAgQIECAAIHdIyBRsHvcnZUAAQIECBAgQIAAAQIECBAgQIAAAQIECPQLAYmCfjENBkGAAAECBAgQIECAAAECBAgQIECAAAECBHaPgETB7nF3VgIECBAgQIAAAQIECBAgQIAAAQIECBAg0C8EJAr6xTQYBAECBAgQIECAAAECBAgQIECAAAECBAgQ2D0CEgW7x91ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIBAvxD4f2UDYQQp07KAAAAAAElFTkSuQmCC" alt></p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the Doppler effect.</p>
<p>The diagram shows wavefronts in air produced by a stationary source S of sound. The distance between successive wavefronts is equal to the wavelength of the sound. The speed of sound is <em>c</em>.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, sketch three successive wavefronts produced when S is moving to the left at a speed of 0.5<em>c</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A source of X-rays rotates on a turntable. Radiation of wavelength 7.5 nm is emitted by the source and undergoes a maximum shift of 0.50 fm. The distance between the source and the detector is large in comparison to the diameter of the turntable.</p>
<p><img 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" alt></p>
<p>(i) Determine the speed of a point on the edge of the turntable.</p>
<p>(ii) State the assumption you made in your answer to (b)(i).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br>