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</div><h2>SL Paper 3</h2><div class="specification">
<p class="p1">This question is about leptons and mesons.</p>
</div>
<div class="specification">
<p class="p1">Leptons are a class of elementary particles and each lepton has its own antiparticle. State what is meant by an</p>
</div>
<div class="specification">
<p class="p1">Unlike leptons, the \({\pi ^ + }\) meson is not an elementary particle. State the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>elementary particle.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>antiparticle of a lepton.</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 electron is a lepton and its antiparticle is the positron. The following reaction can take place between an electron and positron.</p>
<p>\[{e^ - } + {e^ + } \to \gamma + \gamma \]</p>
<p class="p1">Sketch the Feynman diagram for this reaction and identify on your diagram any virtual particles.</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">(i) <span class="Apple-converted-space"> </span>quark structure of the \({\pi ^ + }\) meson.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>reason why the following reaction does not occur.</p>
<p class="p1">\[{p^ + } + {p^ + } \to {p^ + } + {\pi ^ + }\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about fundamental interactions.</p>
</div>
<div class="specification">
<p class="p1">The kaon \(({{\text{K}}^ + } = {\rm{u\bar s)}}\) decays into an antimuon and a neutrino as shown by the Feynman diagram.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.56.53.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/11.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why the virtual particle in this Feynman diagram must be a weak interaction exchange particle.</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 class="p1">A student claims that the \({{\text{K}}^ + }\) is produced in neutron decays according to the reaction \({\text{n}} \to {{\text{K}}^ + } + {{\text{e}}^ - }\). State <strong>one </strong>reason why this claim is false.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about interactions and quarks.</p>
</div>
<div class="specification">
<p class="p1">For the lambda baryon \({\Lambda ^0}\), a student proposes a possible decay of \({\Lambda ^0}\) as shown.</p>
<p class="p1">\[{\Lambda ^0} \to p + {K^ - }\]</p>
<p class="p1">The quark content of the \({K^ - }\) meson is \({\rm{\bar us}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A lambda baryon \({\Lambda ^0}\) is composed of the three quarks uds. Show that the charge is 0 and the strangeness is \( - 1\).</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">Discuss, with reference to strangeness and baryon number, why this proposal is feasible.</p>
<p class="p2"> </p>
<p class="p1">Strangeness:</p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p2"> </p>
<p class="p1">Baryon number:</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Another interaction is</p>
<p class="p1">\[{\Lambda ^0} \to p + {\pi ^ - }\]</p>
<p class="p1">In this interaction strangeness is found <strong>not </strong>to be conserved. Deduce the nature of this interaction.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
<p class="p1">Meteorites contain a small proportion of radioactive aluminium-26 \(\left( {_{{\text{13}}}^{{\text{26}}}{\text{Al}}} \right)\) in the rock.</p>
<p class="p1">The amount of \(_{{\text{13}}}^{{\text{26}}}{\text{Al}}\) is constant while the meteorite is in space due to bombardment with cosmic rays.</p>
</div>
<div class="specification">
<p class="p1">After reaching Earth, the number of radioactive decays per unit time in a meteorite sample begins to diminish with time. The half-life of aluminium-26 is \(7.2 \times {10^5}\) years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Aluminium-26 decays into an isotope of magnesium (Mg) by \({\beta ^ + }\) decay.</p>
<p class="p1">\[_{{\text{13}}}^{{\text{26}}}{\text{Al}} \to _{\text{Y}}^{\text{X}}{\text{Mg}} + {\beta ^ + } + {\text{Z}}\]</p>
<p class="p1">Identify X, Y and Z in this nuclear decay process.</p>
<p class="p2"> </p>
<p class="p1">X:</p>
<p class="p1">Y:</p>
<p class="p1">Z:</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">Explain why the beta particles emitted from the aluminium-26 have a continuous range of energies.</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 class="p1">State what is meant by half-life.</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 class="p1">A meteorite which has just fallen to Earth has an activity of 36.8 Bq. A second meteorite of the same mass, which arrived some time ago, has an activity of 11.2 Bq. Determine, in years, the time since the second meteorite arrived on Earth.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about fundamental interactions and elementary particles.</p>
</div>
<div class="specification">
<p class="p1">The Feynman diagram represents the decay of a \({\pi ^ + }\) meson into an anti-muon and a muon neutrino.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the type of fundamental interactions associated with the exchange particles in the table.</p>
<p class="p1"><img src="images/Schermafbeelding_2016-09-04_om_15.45.49.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/13.a.i"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State why \({\pi ^ + }\) mesons are <strong>not </strong>considered to be elementary particles.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the exchange particle associated with this decay.</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 class="p1">Deduce that this decay conserves baryon number.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about atomic spectra.</p>
</div>
<div class="specification">
<p class="p1">The diagram shows some of the energy levels of a hydrogen atom.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-11_om_10.45.15.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/05.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain how atomic line spectra provide evidence for the existence of discrete electron energy levels in atoms.</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 class="p1">(i) Calculate the wavelength of the photon that will be emitted when an electron moves from the –3.40 eV energy level to the –13.6 eV energy level.</p>
<p class="p1">(ii) State and explain if it is possible for a hydrogen atom in the ground state to absorb a photon with an energy of 12.5 eV.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about radioactive decay.</span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Sodium-22 undergoes </span><em><span style="font-size: 12pt; font-family: 'SymbolMT';">β</span></em><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">+ </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">decay. </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the missing entries in the following nuclear reaction.</p>
<p>\[{}_{11}^{22}{\rm{Na}} \to {}_ \ldots ^{22}{\rm{Ne}} + {}_ \ldots ^0e + {}_0^0 \ldots \]</p>
<p> </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>Define <em>half-life</em>.</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>Sodium-22 has a decay constant of 0.27 yr<sup>–1</sup>.</p>
<p>(i) Calculate, in years, the half-life of sodium-22.</p>
<p>(ii) A sample of sodium-22 has initially 5.0 × 10<sup>23</sup> atoms. Calculate the number of sodium-22 atoms remaining in the sample after 5.0 years.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the spectrum of atomic hydrogen.</p>
</div>
<div class="question">
<p class="p1">Calculate the difference in energy in eV between the energy levels in the hydrogen atom that give rise to the red line in the spectrum.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
</div>
<div class="specification">
<p class="p1">The half-life of Au-189 is 8.84 minutes. A freshly prepared sample of the isotope has an activity of 124Bq.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A nucleus of a radioactive isotope of gold (Au-189) emits a neutrino in the decay to a nucleus of an isotope of platinum (Pt).</p>
<p class="p1">In the nuclear reaction equation below, state the name of the particle X and identify the nucleon number \(A\) and proton number \(Z\) of the nucleus of the isotope of platinum.</p>
<p class="p1">\[_{\;79}^{189}Au \to _Z^APt + X + v\]</p>
<p class="p1">X:</p>
<p class="p1"><em>A</em>:</p>
<p class="p1"><em>Z</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 class="p1">(i) <span class="Apple-converted-space"> </span>Calculate the decay constant of Au-189.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Determine the activity of the sample after 12.0 min.</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 atomic spectra and energy states.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how atomic absorption spectra provide evidence for the quantization of energy states in atoms.</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 diagram shows some atomic energy levels of hydrogen.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_15.05.07.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/06.b"></p>
<p class="p1">A photon of energy 2.86 eV is emitted from a hydrogen atom. Using the diagram, draw an arrow to indicate the electron transitions that results in the emission of this photon.</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 strangeness.</p>
</div>
<div class="question">
<p>The following particle interaction is proposed.</p>
<p>\[p + {\pi ^ - } \to {K^ - } + {\pi ^ + }\]</p>
<p>In this interaction, charge is conserved.</p>
<p>State, in terms of baryon and strangeness conservation, whether the interaction is possible.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
<p class="p1">In a particular nuclear medical imaging technique, carbon-11 \((_{\;6}^{11}{\text{C}})\) is used. It is radioactive and decays through \({\beta ^ + }\) decay to boron (B).</p>
</div>
<div class="specification">
<p class="p1">The half-life of carbon-11 is 20.3 minutes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the numbers and the particle to complete the decay equation.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_15.09.19.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/07.a.i"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the nature of the \({\beta ^ + }\) particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline a method for measuring the half-life of an isotope, such as the half-life of carbon-11.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the law of radioactive decay.</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 class="p1">Derive the relationship between the half-life \({T_{\frac{1}{2}}}\) and the decay constant <span class="s1">\(\lambda \) </span>, using the law of radioactive decay.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the number of nuclei of carbon-11 that will produce an activity of \(4.2 \times {10^{20}}{\text{ Bq}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iv.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about electrons and the weak interaction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State</p>
<p>(i) what is meant by an elementary particle.</p>
<p>(ii) to which class of elementary particles the electron belongs.</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 one of the particles produced in the decay of a free neutron into a proton. An exchange particle is also involved in the decay.</p>
<p>(i) State the name of the exchange particle.</p>
<p>(ii) The weak interaction has a range of the order of 10<sup>–18</sup>m. Determine, in GeVc<sup>–2</sup>, the order of magnitude of the mass of the exchange particle.</p>
<p>(iii) It is suggested that the exchange particle in the weak interaction arises from the decay of one type of quark into another. With reference to the quark structure of nucleons, state the reason for this suggestion.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about elementary particles.<br> </span></p>
<div class="page" title="Page 17">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This quark is said to be an elementary particle.<br> </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the term elementary 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 strong interaction between two nucleons has a range of about 10<sup>–15</sup> m.</p>
<p>(i) Identify the boson that mediates the strong interaction. </p>
<p>(ii) Determine the approximate mass of the boson in (b)(i).</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 radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nuclide of the isotope potassium-40 \(\left( {{}_{19}^{40}{\rm{K}}} \right)\) decays into a stable nuclide of the isotope<br>argon-40 \(\left( {{}_{18}^{40}{\rm{Ar}}} \right)\). Identify the particles X and Y in the nuclear equation below.</p>
<p>\[{}_{19}^{40}{\rm{K}} \to {}_{18}^{40}{\rm{Ar + X + Y}}\]</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 half-life of potassium-40 is 1.3×10<sup>9</sup>yr. In a particular rock sample it is found that 85 % of the original potassium-40 nuclei have decayed. Determine the age of the rock.</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>State the quantities that need to be measured in order to determine the half-life of a long-lived isotope such as potassium-40.</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 atomic energy levels.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline a laboratory procedure for producing and observing the atomic absorption spectrum of a gas.</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>(i) Describe the appearance of an atomic absorption spectrum.</p>
<p>(ii) Explain why the spectrum in (a) provides evidence for quantization of energy in atoms.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The principal energy levels of the hydrogen atom in electronvolt (eV) are given by</p>
<p>\[{E_n} = \frac{{13.6}}{{{n^2}}}\]</p>
<p>where <em>n</em> is a positive integer.</p>
<p>Determine the wavelength of the absorption line that corresponds to an electron transition from the energy level given by <em>n</em>=1 to the level given by <em>n</em>=3.</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 mesons.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by an exchange 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>A meson called the pion was detected in cosmic ray reactions in 1947 by Powell and Occhialini. The pion comes in three possible charge states: π <sup>+</sup> , π<sup>−</sup> and π<sup>0</sup>. The Feynman diagram below represents a possible reaction in which a pion participates.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">State and explain whether the meson produced is a π <sup>+</sup> , π<sup>−</sup> <strong>or </strong>a π<sup>0</sup>.</p>
<p style="text-align: left;"> </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 the decay of a kaon.</p>
<p>A kaon (<em>K</em><sup>+</sup>) is a meson consisting of an up quark and an anti-strange quark.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align: left;">Suggest why the kaon is classified as a boson.</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 kaon decays into an antimuon and a neutrino, <em>K</em><sup>+</sup> →<em>μ</em> <sup>+</sup>+<em>v</em> . The Feynman diagram for the decay is shown below.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(i) State the <strong>two</strong> particles labelled X and Y.</p>
<p style="text-align: left;">(ii) Explain how it can be deduced that this decay takes place through the weak interaction.</p>
<p style="text-align: left;">(iii) State the name and sign of the electric charge of the particle labelled A.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quarks.</p>
<p>The quark content of a <em>π</em><sup>+</sup> meson includes an up quark.</p>
<p>The Feynman diagram represents the decay of a <em>π</em><sup>+</sup> meson.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the particles labelled A and B.</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>State, with reference to their properties, <strong>two</strong> differences between a photon and a W boson.</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 quarks.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the name of a particle that is its own antiparticle.</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 meson <em>K</em><sup>0</sup> consists of a d quark and an anti s quark. The <em>K</em><sup>0</sup> decays into two pions as shown in the Feynman diagram.</p>
<p><img 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" alt></p>
<p>(i) State a reason why the kaon <em>K</em><sup>0</sup> cannot be its own antiparticle.</p>
<p>(ii) Explain how it may be deduced that this decay is a weak interaction process.</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="specification">
<p>This question is about atomic spectra.</p>
<p>Diagram 1 shows some of the energy levels of the hydrogen atom. Diagram 2 is a representation of part of the emission spectrum of atomic hydrogen. The lines shown represent transitions involving the – 3.40 eV level.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: center;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce that the energy of a photon of wavelength 658 nm is 1.89 eV.</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>(i) On <strong>diagram 1</strong>, draw an arrow to show the electron transition between energy levels that gives rise to the emission of a photon of wavelength 658 nm. Label this arrow with the letter A.</p>
<p>(ii) On<strong> diagram 1</strong>, draw arrows to show the electron transitions between energy levels that give rise to the emission of photons of wavelengths 488 nm, 435 nm and 411 nm. Label these arrows with the letters B, C and D.</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>Explain why the lines in the emission spectrum of atomic hydrogen, shown in <strong>diagram 2</strong>, become closer together as the wavelength of the emitted photons decreases.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A student pours a canned carbonated drink into a cylindrical container after shaking the can violently before opening. A large volume of foam is produced that fills the container. The graph shows the variation of foam height with time.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the time taken for the foam to drop to</p>
<p>(i) half its initial height.</p>
<p>(ii) a quarter of its initial height.</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 change in foam height can be modelled using ideas from other areas of physics. Identify <strong>one</strong> other situation in physics that is modelled in a similar way.</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 quarks and interactions.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how interactions in particle physics are understood in terms of exchange particles.</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>Determine whether or not strangeness is conserved in this decay.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The total energy of the particle represented by the dotted line is 1.2 GeV more than what is allowed by energy conservation. Determine the time interval from the emission of the particle from the s quark to its conversion into the d \({\rm{\bar d}}\) pair.</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>The pion is unstable and decays through the weak interaction into a neutrino and an anti-muon.</p>
<p>Draw a Feynman diagram for the decay of the pion, labelling all particles in the diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about fundamental interactions.</p>
<p>The Feynman diagram shows the decay of a K<sup>+</sup> meson into three other particles.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify particle A.</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>(i) Identify the interaction whose exchange particle is represented by B.</p>
<p>(ii) Identify the exchange particle labelled C.</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>Outline how the concept of strangeness applies to the decay of a K<sup>+</sup> meson shown in this Feynman diagram.</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 particles.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Σ<sup>+</sup> particle can decay into a π<sup>0</sup> particle and another particle Y as shown in the Feynman diagram.</p>
<p><img 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" alt></p>
<p>(i) Identify the exchange particle X.</p>
<p>(ii) Identify particle Y.</p>
<p>(iii) Outline the nature of the π<sup>0</sup>.</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>The π<sup>0</sup> particle can decay with the emission of two gamma rays, each one of which can subsequently produce an electron and a positron.</p>
<p>(i) State the process by which the electron and the positron are produced.</p>
<p>(ii) Sketch the Feynman diagram for the process in (c)(i).</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>Discuss whether strangeness is conserved in the decay of the Σ<sup>+</sup> particle in (a).</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the hydrogen atom.</p>
<p>The diagram shows the three lowest energy levels of a hydrogen atom.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is excited to the <em>n</em>=3 energy level. On the diagram, draw arrows to show the possible electron transitions that can lead to the emission of a photon.</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>Show that a photon of wavelength 656 nm can be emitted from a hydrogen atom.</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 quarks.</p>
<p>An interaction between an electron and a positron can lead to the production of hadrons via the reaction<br>\[{e^ - } + {e^ + } \to u + \bar u\]<br>where u is an up quark. This process involves the electromagnetic interaction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a Feynman diagram for this interaction.</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>Outline, with reference to the strong interaction, why hadrons are produced in the reaction.</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 radioactive decay.</p>
<p>Iodine-124 (I-124) is an unstable radioisotope with proton number 53. It undergoes beta plus decay to form an isotope of tellurium (Te).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the reaction for the decay of the I-124 nuclide.</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 graph below shows how the activity of a sample of iodine-124 changes with time.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) State the half-life of iodine-124.</p>
<p>(ii) Calculate the activity of the sample at 21 days.</p>
<p>(iii) A sample of an unknown radioisotope has a half-life twice that of iodine-124 and the same initial activity as the sample of iodine-124. On the axes opposite, draw a graph to show how the activity of the sample would change with time. Label this graph X.</p>
<p>(iv) A second sample of iodine-124 has half the initial activity as the original sample of iodine-124. On the axes opposite, draw a graph to show how the activity of this sample would change with time. Label this graph Y.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about atomic energy levels. </span></p>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how atomic spectra provide evidence for the quantization of energy in atoms.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the de Broglie hypothesis explains the existence of a <strong>discrete</strong> set of wavefunctions for electrons confined in a box of length<em> L</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows the shape of two allowed wavefunctions <em>ѱ<sub>A</sub></em> and <em>ѱ<sub>B</sub></em> for an electron confined in a one-dimensional box of length<em> L</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) With reference to the de Broglie hypothesis, suggest which wavefunction corresponds to the larger electron energy.</p>
<p>(ii) Predict and explain which wavefunction indicates a larger probability of finding the electron near the position \(\frac{L}{2}\) in the box.</p>
<p>(iii) On the graph in (c) on page 7, sketch a possible wavefunction for the <strong>lowest</strong> energy state of the electron.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>