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</div><h2>HL Paper 2</h2><div class="specification">
<p>Rhodium-106 (\(_{\,\,\,45}^{106}{\text{Rh}}\)) decays into palladium-106 (\(_{\,\,\,46}^{106}{\text{Pd}}\)) by beta minus (<em>β</em><sup>–</sup>) decay. The diagram shows some of the nuclear energy levels of rhodium-106 and palladium-106. The arrow represents the <em>β</em><sup>–</sup> decay.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-14_om_06.42.36.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/09.d"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Bohr modified the Rutherford model by introducing the condition <em>mvr </em>= <em>n</em>\(\frac{h}{{2\pi }}\). Outline the reason for this modification.</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>Show that the speed <em>v </em>of an electron in the hydrogen atom is related to the radius <em>r </em>of the orbit by the expression</p>
<p>\[v = \sqrt {\frac{{k{e^2}}}{{{m_{\text{e}}}r}}} \]</p>
<p>where <em>k </em>is the Coulomb constant.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the answer in (b) and (c)(i), deduce that the radius <em>r </em>of the electron’s orbit in the ground state of hydrogen is given by the following expression.</p>
<p>\[r = \frac{{{h^2}}}{{4{\pi ^2}k{m_{\text{e}}}{e^2}}}\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the electron’s orbital radius in (c)(ii).</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what may be deduced about the energy of the electron in the <em>β</em><sup>–</sup> decay.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why the <em>β</em><sup>–</sup> decay is followed by the emission of a gamma ray photon.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the wavelength of the gamma ray photon in (d)(ii).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>An ohmic conductor is connected to an ideal ammeter and to a power supply of output voltage V.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_17.57.33.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/04"></p>
<p>The following data are available for the conductor:</p>
<p> density of free electrons = 8.5 × 10<sup>22</sup> cm<sup>−3</sup></p>
<p> resistivity ρ = 1.7 × 10<sup>−8</sup> Ωm</p>
<p> dimensions w × h × l = 0.020 cm × 0.020 cm × 10 cm.</p>
<p> </p>
<p>The ammeter reading is 2.0 A.</p>
</div>
<div class="specification">
<p>The electric field <em>E </em>inside the sample can be approximated as the uniform electric field between two parallel plates.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the drift speed <em>v </em>of the electrons in the conductor in cm s<sup>–1</sup>.</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>Determine the electric field strength <em>E</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that<span class="Apple-converted-space"> \(\frac{v}{E} = \frac{1}{{ne\rho }}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows a potential divider circuit used to measure the emf <em>E </em>of a cell X. Both cells have negligible internal resistance.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_13.01.10.png" alt="M18/4/PHYSI/SP2/ENG/TZ2/04"></p>
</div>
<div class="question">
<p>Cell X is replaced by a second cell of identical emf <em>E </em>but with internal resistance 2.0 Ω. Comment on the length of AC for which the current in the second cell is zero.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about electrical circuits. <strong>Part 2 </strong>is about magnetic</p>
<p class="p1">fields.</p>
<p class="p1"><strong>Part 1 </strong>Electrical circuits</p>
<p class="p1">The circuit shown is used to investigate how the power developed by a cell varies when the</p>
<p class="p1">load resistance \(R\) changes.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_05.40.14.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/09_01"></p>
<p class="p1">The variable resistor is adjusted and a series of current and voltage readings are taken.</p>
<p class="p1">The graph shows the variation with \(R\) of the power dissipated in the cell and the power</p>
<p class="p1">dissipated in the variable resistor.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_05.41.39.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/09_02"></p>
</div>
<div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about electrical circuits. <strong>Part 2 </strong>is about magnetic</p>
<p class="p1">fields.</p>
<p class="p1"><strong>Part 2 </strong>Magnetic fields</p>
<p class="p1">The diagram shows an arrangement for measuring the force between two parallel sections of the same rigid wire carrying a current as viewed from the front.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_05.51.46.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/09_02"></p>
<p class="p1">The supports for the upper section of the wire and the power supply are not shown.</p>
</div>
<div class="specification">
<p class="p1">When the current in the wire is 0.20 A, the magnetic field strength at the upper section of wire due to the lower section of wire is \(1.3 \times {10^{ - 4}}{\text{ T}}\)<span class="s1">.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The cell may be damaged if it dissipates a power greater than 1.2 W. Outline why damage in the cell may occur if the terminals of the cell are short-circuited.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The part of the wire from A to B is viewed from above. The direction of the current is out of the plane of the paper.</p>
<p class="p1">Using the diagram, draw the magnetic field pattern due to just the current in wire AB.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Deduce what happens to the reading on the electronic balance when the current is switched on.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the magnetic force acting per unit length on the upper section of wire.</p>
<div class="marks">[1]</div>
<div class="question_part_label">g.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">Each cubic metre of the wire contains approximately \(8.5 \times {10^{28}}\)</span> free electrons. The diameter of the wire is 2.5 mm and the length of wire within the magnetic field is 0.15 m. Using the force per unit length calculated in (g)(i), deduce the speed of the electrons in the wire when the current is 0.20 A.</p>
<div class="marks">[4]</div>
<div class="question_part_label">g.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The upper section of wire is adjusted to make an angle of 30°<span class="s1"> </span>with the lower section of wire. Outline how the reading of the balance will change, if at all.</p>
<div class="marks">[3]</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1"><strong>Part 2 </strong>Power transmissions</p>
<p class="p1">The diagram shows the main features of an ideal transformer whose primary coil is connected to a source of alternating current (ac) voltage.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_18.29.32.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/08_Part2"></p>
</div>
<div class="specification">
<p class="p1">A different transformer is used to transmit power to a small town.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_18.34.05.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/08.f"></p>
<p class="p1">The transmission cables from the power station to the transformer have a total resistance of 4.0 <span class="s1">Ω</span>. The transformer is 90% efficient and steps down the voltage to 120 V. At the time of maximum power demand the effective resistance of the town and of the cables from the transformer to the town is 60 m<span class="s1">Ω</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline, with reference to electromagnetic induction, how a voltage is induced across the secondary coil.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The primary coil has 25 turns and is connected to an alternating supply with an input voltage of root mean squared (rms) value 12 V. The secondary coil has 80 turns and is not connected to an external circuit. Determine the peak voltage induced across the secondary coil.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the current in the cables connected to the town</p>
<div class="marks">[1]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the power supplied to the transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the input voltage to the transformer if the power loss in the cables from the power station is 2.0 kW.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why laminating the core improves the efficiency of a transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about internal resistance of a cell. <strong>Part 2 </strong>is about expansion of a gas.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Internal resistance of a cell</p>
</div>
<div class="specification">
<p class="p1">The graph shows the voltage–current (\(V\)–\(I\) ) characteristics of a non-ohmic conductor.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-01_om_05.44.26.png" alt="N14/4/PHYSI/HP2/ENG/TZ0/08_Part1.d"></p>
<p class="p1">The variable resistor in the circuit in (c) is replaced by this non-ohmic conductor.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Expansion of a gas</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline, with reference to charge carriers, what is meant by the internal resistance of a cell.</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">On the graph, sketch the variation of \(V\)<em> </em>with \(I\)<em> </em>for the cell.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using the graph, determine the current in the circuit.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph shows how the pressure \(P\)<em> </em>of a fixed mass of gas varies with volume \(V\). The lines show the state of the gas sample during adiabatic expansion and during isothermal expansion.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-01_om_08.16.32.png" alt="N14/4/PHYSI/HP2/ENG/TZ0/08.e"></p>
<p class="p1">State and explain whether line A <strong>or </strong>line B represents an adiabatic expansion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the work done during the change represented by line A.</p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline, with reference to the first law of thermodynamics, the direction of change in temperature during the adiabatic expansion.</p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p>A negatively charged thundercloud above the Earth’s surface may be modelled by a parallel plate capacitor.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-14_om_06.28.35.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/08"></p>
<p>The lower plate of the capacitor is the Earth’s surface and the upper plate is the base of the thundercloud.</p>
<p>The following data are available.</p>
<p>\[\begin{array}{*{20}{l}} {{\text{Area of thundercloud base}}}&{ = 1.2 \times {{10}^8}{\text{ }}{{\text{m}}^2}} \\ {{\text{Charge on thundercloud base}}}&{ = -25{\text{ C}}} \\ {{\text{Distance of thundercloud base from Earth's surface}}}&{ = 1600{\text{ m}}} \\ {{\text{Permittivity of air}}}&{ = 8.8 \times {{10}^{ - 12}}{\text{ F }}{{\text{m}}^{ - 1}}} \end{array}\]</p>
</div>
<div class="specification">
<p>Lightning takes place when the capacitor discharges through the air between the thundercloud and the Earth’s surface. The time constant of the system is 32 ms. A lightning strike lasts for 18 ms.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the capacitance of this arrangement is <em>C </em>= 6.6 × 10<sup>–7</sup> F.</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>Calculate in V, the potential difference between the thundercloud and the Earth’s surface.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate in J, the energy stored in the system.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that about –11 C of charge is delivered to the Earth’s surface.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in A, the average current during the discharge.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one </strong>assumption that needs to be made so that the Earth-thundercloud system may be modelled by a parallel plate capacitor.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about fields, electric potential difference and electric<br>circuits. <strong>Part 2</strong> is about thermodynamic cycles.</p>
<p><strong>Part 1</strong> Fields, electric potential difference and electric circuits</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnitude of gravitational field strength <em>g</em> is defined from the equation shown below.</p>
<p>\[g = \frac{{{F_g}}}{m}\]</p>
<p>The magnitude of electric field strength <em>E</em> is defined from the equation shown below.</p>
<p>\[E = \frac{{{F_E}}}{q}\]</p>
<p>For each of these defining equations, state the meaning of the symbols</p>
<p>(i) <em>F</em><sub>g</sub>.</p>
<p>(ii) <em>F</em><sub>E</sub>.</p>
<p>(iii) <em>m</em>.</p>
<p>(iv) <em>q</em>.</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>In a simple model of the hydrogen atom, the electron is regarded as being in a circular orbit about the proton. The magnitude of the electric field strength at the electron due to the proton is <em>E</em><sub>p</sub> . The magnitude of the gravitational field strength at the electron due to the proton is <em>g</em><sub>p</sub>.</p>
<p>Determine the order of magnitude of the ratio shown below.</p>
<p>\[\frac{{{E_p}}}{{{g_p}}}\]</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 in <strong>two </strong>parts. <strong>Part 1 </strong>is about electric cells. <strong>Part 2 </strong>is about atoms.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Electric cells</p>
</div>
<div class="specification">
<p class="p1">Cells used to power small electrical devices contain both conductors and insulators.</p>
<p class="p1">Cells also have the property of internal resistance.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Atoms</p>
</div>
<div class="specification">
<p>Photoelectric emission occurs when ultraviolet radiation is incident on the surface of mercury but not when visible light is incident on the metal. Photoelectric emission occurs when visible light of all wavelengths is incident on caesium.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Distinguish between an insulator and a conductor.</p>
<p class="p1">(ii) Outline what is meant by the internal resistance of a cell.</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 class="p1">State what is meant by the photoelectric effect.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Suggest why the work function for caesium is smaller than that of mercury.</p>
<p class="p1">(ii) Ultraviolet radiation of wavelength 210 nm is incident on the surface of mercury. The work function for mercury is 4.5 eV. Determine the maximum kinetic energy of the photoelectrons emitted.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">An exact determination of the location of the electron in a hydrogen atom is not possible. Outline how this statement is consistent with the Schrödinger model of the hydrogen atom.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>A heater in an electric shower has a power of 8.5 kW when connected to a 240 V electrical supply. It is connected to the electrical supply by a copper cable.</p>
<p>The following data are available:</p>
<p style="padding-left: 120px;">Length of cable = 10 m<br>Cross-sectional area of cable = 6.0 mm<sup>2</sup><br>Resistivity of copper = 1.7 × 10<sup>–8</sup> Ω m</p>
</div>
<div class="question">
<p>Calculate the power dissipated in the cable.</p>
</div>
<br><hr><br><div class="specification">
<p>A beam of electrons e<sup>–</sup> enters a uniform electric field between parallel conducting plates RS. RS are connected to a direct current (dc) power supply. A uniform magnetic field B is directed into the plane of the page and is perpendicular to the direction of motion of the electrons.</p>
<p style="text-align: center;"><img 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"></p>
<p>The magnetic field is adjusted until the electron beam is <strong>undeflected</strong> as shown.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify, on the diagram, the direction of the electric field between the plates.</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 following data are available.</p>
<table style="width: 537px;">
<tbody>
<tr>
<td style="width: 383px; padding-left: 90px;">Separation of the plates RS</td>
<td style="width: 172px;">= 4.0 cm</td>
</tr>
<tr>
<td style="width: 383px; padding-left: 90px;">Potential difference between the plates</td>
<td style="width: 172px;">= 2.2 kV</td>
</tr>
<tr>
<td style="width: 383px; padding-left: 90px;">Velocity of the electrons</td>
<td style="width: 172px;">= 5.0×10<sup>5</sup> m s<sup>–1</sup></td>
</tr>
</tbody>
</table>
<p> </p>
<p>Determine the strength of the magnetic field B.</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 velocity of the electrons is now increased. Explain the effect that this will have on the path of the electron beam.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Hydrogen atoms in an ultraviolet (UV) lamp make transitions from the first excited state to the ground state. Photons are emitted and are incident on a photoelectric surface as shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_12.49.40.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/08"></p>
</div>
<div class="specification">
<p>The photons cause the emission of electrons from the photoelectric surface. The work function of the photoelectric surface is 5.1 eV.</p>
</div>
<div class="specification">
<p>The electric potential of the photoelectric surface is 0 V. The variable voltage is adjusted so that the collecting plate is at –1.2 V.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the energy of photons from the UV lamp is about 10 eV.</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>Calculate, in J, the maximum kinetic energy of the emitted electrons.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest, with reference to conservation of energy, how the variable voltage source can be used to stop all emitted electrons from reaching the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The variable voltage can be adjusted so that no electrons reach the collecting plate. Write down the minimum value of the voltage for which no electrons reach the collecting plate.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw and label the equipotential lines at –0.4 V and –0.8 V.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is emitted from the photoelectric surface with kinetic energy 2.1 eV. Calculate the speed of the electron at the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A non-uniform electric field, with field lines as shown, exists in a region where there is no gravitational field. X is a point in the electric field. The field lines and X lie in the plane of the paper.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline what is meant by electric field strength.</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 electron is placed at X and released from rest. Draw, on the diagram, the direction of the force acting on the electron due to the field.</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>The electron is replaced by a proton which is also released from rest at X. Compare, without calculation, the motion of the electron with the motion of the proton after release. You may assume that no frictional forces act on the electron or the proton.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A cable consisting of many copper wires is used to transfer electrical energy from an alternating current (ac) generator to an electrical load. The copper wires are protected by an insulator.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: center;"><img src="blob:https://questionbank.ibo.org/bd73db7f-3f45-4a7f-b356-67d8fed5fa2a"></p>
</div>
<div class="specification">
<p>The cable consists of 32 copper wires each of length 35 km. Each wire has a resistance of 64 Ω. The cable is connected to the ac generator which has an output power of 110 MW when the peak potential difference is 150 kV. The resistivity of copper is 1.7 x 10<sup>–8</sup> Ω m.</p>
<p>output power = 110 MW </p>
<p style="text-align: center;"><img 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"></p>
<p> </p>
</div>
<div class="specification">
<p>To ensure that the power supply cannot be interrupted, two identical cables are connected in parallel.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The energy output of the ac generator is at a much lower voltage than the 150 kV used for transmission. A step-up transformer is used between the generator and the cables.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the radius of each <strong>wire</strong>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the peak current in the <strong>cable</strong>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the power dissipated in the cable per unit length.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the root mean square (rms) current in each cable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The two cables in part (c) are suspended a constant distance apart. Explain how the magnetic forces acting between the cables vary during the course of one cycle of the alternating current (ac).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest the advantage of using a step-up transformer in this way.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The use of alternating current (ac) in a transformer gives rise to energy losses. State how eddy current loss is minimized in the transformer.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>There is a proposal to power a space satellite X as it orbits the Earth. In this model, X is connected by an electronically-conducting cable to another smaller satellite Y.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Satellite Y orbits closer to the centre of Earth than satellite X. Outline why</p>
</div>
<div class="specification">
<p>The cable acts as a spring. Satellite Y has a mass <em>m</em> of 3.5 x 10<sup>2</sup> kg. Under certain circumstances, satellite Y will perform simple harmonic motion (SHM) with a period <em>T</em> of 5.2 s.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Satellite X orbits 6600 km from the centre of the Earth.</p>
<p style="text-align: center;">Mass of the Earth = 6.0 x 10<sup>24</sup> kg</p>
<p>Show that the orbital speed of satellite X is about 8 km s<sup>–1</sup>.</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 orbital times for X and Y are different.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>satellite Y requires a propulsion system.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The cable between the satellites cuts the magnetic field lines of the Earth at right angles.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">Explain why satellite X becomes positively charged.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Satellite X must release ions into the space between the satellites. Explain why the current in the cable will become zero unless there is a method for transferring charge from X to Y.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnetic field strength of the Earth is 31 μT at the orbital radius of the satellites. The cable is 15 km in length. Calculate the emf induced in the cable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the value of <em>k</em> in the following expression.</p>
<p style="text-align: center;"><em>T</em> = \(2\pi \sqrt {\frac{m}{k}} \)</p>
<p>Give an appropriate unit for your answer. Ignore the mass of the cable and any oscillation of satellite X.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the energy changes in the satellite Y-cable system during one cycle of the oscillation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two cells of negligible internal resistance are connected in a circuit.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The top cell has electromotive force (emf) 12V. The emf of the lower cell is unknown. The ideal ammeter reads zero current.</p>
<p style="text-align: left;">Calculate the emf <em>E</em> of the lower cell.</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 diagram shows charge carriers moving with speed <em>v</em> in a metallic conductor of width <em>L</em>. The conductor is exposed to a uniform magnetic field <em>B</em> that is directed into the page.</p>
<p><img 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" alt></p>
<p>(i) Show that the potential difference <em>V</em> that is established across the conductor is given by <em>V</em>=<em>vBL</em>.</p>
<p>(ii) On the diagram, label the part of the conductor where negative charge accumulates.</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 a thermistor circuit.</p>
<p>The circuit shows a negative temperature coefficient (NTC) thermistor X and a 100 kΩ fixed resistor R connected across a battery.</p>
<p><img 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" alt></p>
<p>The battery has an electromotive force (emf) of 12.0 V and negligible internal resistance.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electromotive force (emf)</em>.</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 graph below shows the variation with temperature <em>T</em> of the resistance <em>R</em><sub>X</sub> of the thermistor.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Determine the temperature of X when the potential difference across R is 4.5 V.</p>
<p>(ii) State the range of temperatures for which the change in the resistance of the thermistor is most sensitive to changes in temperature.</p>
<p>(iii) State and explain the effect of a decrease in temperature on the ratio \(\frac{{{\rm{voltage across X}}}}{{{\rm{voltage across R}}}}\).</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about the properties of tungsten. <strong>Part 2</strong> is about the properties of a gas.</p>
<p><strong>Part 1</strong> Properties of tungsten</p>
<p>An isolated nucleus of an atom of the metal tungsten contains 74 protons.</p>
<p><img 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" alt></p>
<p>Point X is 140 pm from the nucleus.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) On the diagram above, draw an arrow to show the direction of the electric field at point X.</p>
<p>(ii) Assuming the nucleus acts as a point charge, determine the magnitude of the electric field strength at point X.</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>(d) The diagram shows part of a potential divider circuit used to measure the current-potential difference (<em>I–V</em>) characteristic of the bulb.</p>
<p><img 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" alt></p>
<p>(i) Draw the complete circuit showing the correct position of the bulb, ammeter and voltmeter.</p>
<p>(ii) On the axes provided, sketch a graph to show how the current in the bulb varies with the potential difference.</p>
<p><img 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" alt></p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student sets up a different circuit to measure the <em>I–V</em> graph. The cell has an emf of 6.0 V and negligible internal resistance. The variable resistor has a minimum resistance of zero and a maximum resistance of 5.0 Ω.</p>
<p><img 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" alt></p>
<p>Explain, with a calculation, why this circuit will not allow for a full range of potential difference from 0 V to 6 V across the bulb. Assume that the resistance of the lamp remains constant at a value of 2.4 Ω.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about the electrical and magnetic characteristics of a loudspeaker. <strong>Part 2</strong> is about vibrations and waves.</p>
<p><strong>Part 1</strong> Electrical and magnetic characteristics of a loudspeaker</p>
<p>The diagram shows the main features of a loudspeaker L. A current-carrying coil is positioned within the magnetic field provided by a permanent magnet. The diagram also shows the directions of the magnetic field and of the current in the coil at a particular instant. The dust cap D prevents dust from blocking the gap between the cardboard tube and the south pole of the magnet.</p>
<p><img 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" alt></p>
<p>The coil consists of 150 turns, each of average diameter 2.5 cm. The magnetic field of the permanent magnet has strength 0.40 mT. The peak current in the coil is 0.45 mA.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify, <strong>on the diagram</strong>, the direction of the force on the coil with the current directions shown.</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>Calculate the maximum magnetic force acting on the coil.</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>Explain, with reference to electromagnetic induction, the effect of the motion of the coil on the current.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about current electricity. <strong>Part 2</strong> is about atoms.</p>
<p><strong>Part 1</strong> Current electricity</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Atoms</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A 24Ω resistor is made from a conducting wire.</p>
<p>(i) The diameter of the wire is 0.30 mm and the wire has a resistivity of 1.7 <span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span> 10<sup>–8</sup> Ω m. Calculate the length of the wire.</p>
<p>(ii) A potential difference of 12V is applied between the ends of the wire. Calculate the acceleration of a free electron in the wire.</p>
<p>(iii) Suggest why the average speed of the free electron does not keep increasing even though it is being accelerated.</p>
<div class="marks">[8]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electric circuit consists of a supply connected to a 24Ω resistor in parallel with a variable resistor of resistance <em>R</em>. The supply has an emf of 12V and an internal resistance of 11Ω.</p>
<p><img 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" alt></p>
<p>Power supplies deliver maximum power to an external circuit when the resistance of the external circuit equals the internal resistance of the power supply.</p>
<p>(i) Determine the value of <em>R</em> for this circuit at which maximum power is delivered to the external circuit.</p>
<p>(ii) Calculate the reading on the voltmeter for the value of <em>R</em> you determined in (b)(i).</p>
<p>(iii) Calculate the power dissipated in the 24Ω resistor when the maximum power is being delivered to the external circuit.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the wavefunction of an electron.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is confined in a length of 2.0 \( \times \) 10<sup>–10</sup> m.</p>
<p>(i) Determine the uncertainty in the momentum of the electron.</p>
<p>(ii) The electron has a momentum of 2.0 \( \times \) 10<sup>–23</sup>Ns. Determine the de Broglie wavelength of the electron.</p>
<p>(iii) On the axes, sketch the variation of the wavefunction \(\Psi \) of the electron in (d)(ii) with distance <em>x</em>. You may assume that \(\Psi \) \( = \) 0 when <em>x</em> \( = \) 0.</p>
<p><img 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" alt></p>
<p>(iv) Identify the feature of your graph in (d)(iii) that gives the probability of finding the electron at a particular position and at a particular time.</p>
<div class="marks">[9]</div>
<div class="question_part_label">d.</div>
</div>
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