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</div><h2>HL Paper 3</h2><div class="specification">
<p>A positive pion decays into a positive muon and a neutrino.</p>
<p>\[{\pi ^ + } \to {\mu ^ + } + {v_\mu }\]</p>
<p>The momentum of the muon is measured to be 29.8 MeV c<sup>–1</sup> in a laboratory reference frame in which the pion is at rest. The rest mass of the muon is 105.7 MeV c<sup>–2</sup> and the mass of the neutrino can be assumed to be zero.</p>
</div>
<div class="specification">
<p>For the laboratory reference frame</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>write down the momentum of the neutrino.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>show that the energy of the pion is about 140 MeV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the rest mass of the pion with an appropriate unit.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</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 particle interactions.</p>
<p class="p1">An electron and a positron interact to produce a muon and antimuon through a weak interaction. The weak interaction involves one of the virtual particles \({{\text{W}}^ - }\), \({{\text{W}}^ + }\) or \({{\text{Z}}^{\text{0}}}\) boson.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe what is meant by a virtual particle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw a Feynman diagram which represents this interaction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain whether this interaction involves the \({{\text{W}}^ - }\), \({{\text{W}}^ + }\) or \({{\text{Z}}^{\text{0}}}\) boson.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about particles and interactions.</p>
</div>
<div class="question">
<p>When a free neutron decays to a proton, an electron is one of the decay products.</p>
<p>(i) State the name of the exchange particle and the interaction involved in this decay.</p>
<p>(ii) The interaction and the exchange particle in (a)(i) may arise when a quark decays. Describe the change in the quark structure of the neutron.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about a K meson decay.</p>
<p>The positive kaon K<sup>+</sup> has a strangeness of +1. It can decay through the interaction</p>
<p style="text-align: center;">K<sup>+</sup> → μ<sup>+</sup> + ν<sub>μ</sub>.</p>
<p style="text-align: left;">Charge, energy and momentum are conserved in this decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the quark structure of the K<sup>+</sup>.</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>Deduce one further quantity in this decay that is</p>
<p>(i) conserved.</p>
<p>(ii) not conserved.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the standard model.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by the standard model.</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">Use the conservation of lepton number and charge to deduce the nature of the particle <em>x </em>in the following reaction.</p>
<p class="p1">\[{v_{\text{e}}} + {\mu ^ - } \to {e^ - } + x\]</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">State what is meant by deep inelastic scattering.</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 particle production.</p>
</div>
<div class="question">
<p>In a particular experiment, moving kaon mesons collide with stationary protons. The following reaction takes place<br>\[p + {K^ - } \to {K^0} + {K^ + } + X\]</p>
<p>where X is an unknown particle. This process involves the strong interaction. The quark structure of the kaons is \({K^ - } = \bar us\), \({K^0} = d\bar s\), and \({K^ + } = \bar us\).</p>
<p>(i) State the strangeness of the unknown particle X.</p>
<p>(ii) Particle X is a hadron. State and explain whether X is a meson <strong>or</strong> a baryon.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about elementary particles.</p>
<p>The quark is said to be an elementary particle.</p>
</div>
<div class="question">
<p>(i) State what is meant by the term elementary particle.</p>
<p>(ii) Identify another elementary particle other than the quark.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about linear accelerators.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A moving proton is incident on a stationary pion, producing a kaon (<em>K</em> meson) and an unknown hadron X according to the reaction given below.</p>
<p style="text-align: center;">p+π<sup>−</sup>→X+K<sup>−</sup></p>
<p>(i) State, with a reason, the electric charge of X.</p>
<p>(ii) State, with a reason, if X is a baryon <strong>or</strong> a meson.</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>In a deep inelastic scattering experiment, protons of momentum 2.70 ×10<sup>–18</sup> N s are scattered by gold nuclei.</p>
<p>Given that the diameter of nucleons is of the order 10<sup>–15</sup> m and the diameter of quarks is less than 10<sup>–18</sup> m, determine if these protons will be able to resolve</p>
<p>(i) nucleons within the gold nuclei.</p>
<p>(ii) quarks within the gold nuclei.</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>Outline how deep inelastic scattering experiments led to the conclusion that gluons exist.</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 deep inelastic scattering.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student states that “the strong nuclear force is the strongest of the four fundamental interactions”. Explain why this statement is not correct.</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>Describe how deep inelastic scattering experiments support your answer to (a).</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>State <strong>two</strong> other conclusions that may be reached from deep inelastic scattering experiments.</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 conservation laws and the standard model.</p>
</div>
<div class="question">
<p>A muon decays into an electron and two other particles according to the reaction equation <em>μ</em><sup>−</sup>→<em>e</em><sup>−</sup>+?+?.</p>
<p>State the names of the <strong>two</strong> other particles that are produced in this decay explaining your answer.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the standard model.</p>
<p>The Feynman diagrams show two electroweak interactions between electrons. The particle represented by the wavy line is a photon.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State</p>
<p>(i) the name of the exchange particle represented by the dotted line.<br>(ii) one difference between the two 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>Outline how the observation of the interaction represented by the diagram with the dotted line provides evidence for the standard model.</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>
<p>(iii) State the name of the particle denoted by the dotted line in the diagram.</p>
<p>(iv) The mass of the particle in (b)(iii) is approximately 1.6×10<sup>–25</sup>kg. Determine the range of the weak interaction.</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 hadrons.</p>
</div>
<div class="question">
<p>The interaction in (a) can also occur via the weak interaction with neutral current mediation producing an up and anti-up quark pair.</p>
<p>Draw a labelled Feynman diagram for this interaction. Time on your diagram should go from left to right.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the early universe and the Higgs boson.</p>
<p>The graph shows the variation of the logarithm of the temperature <em>T</em> of the universe with the logarithm of the time <em>t</em> after the Big Bang.</p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question">
<p>Evidence for the Higgs boson might be discovered at the Large Hadron Collider (LHC) at CERN. Outline why such a discovery would be of crucial significance to the standard model.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about particles and interactions.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State what is meant by an antiparticle.</p>
<p>(ii) Some particles are identical to their antiparticles. Discuss whether the neutron and the antineutron are identical.</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 Feynman diagram represents the decay \({K^{\rm{ - }}} \to {\pi ^{\rm{ + }}}{\rm{ + }}{\pi ^{\rm{ - }}}{\rm{ + }}{\pi ^{\rm{ - }}}\).</p>
<p><img 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" alt></p>
<p>Particles X and Y are exchange particles.</p>
<p>(i) Explain what is meant by an exchange particle.</p>
<p>(ii) Identify X.</p>
<p>(iii) Determine the electric charge of Y.</p>
<p>(iv) Calculate the change in strangeness in the decay of the <em>K</em><sup> –</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the standard model and the Pauli exclusion principle.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one</strong> conservation law that would be violated, if the following reactions were to occur.</p>
<p>(i) \({\pi ^0} \to {e^ + } + {\mu ^ - }\)</p>
<p>(ii) \({p^ + } + \bar n \to {e^ + } + {e^ - } + {\bar v_e} + {v_e}\)</p>
<p> </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 reaction \({\bar v_\mu } + {e^ - } \to {\bar v_\mu } + {e^ - }\) is an example of a neutral current reaction. Draw a Feynman diagram for this reaction labelling all the particles involved. The arrow provided indicates the direction of time.</p>
<p><img 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" alt></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 standard model.</p>
</div>
<div class="question">
<p>Muons can decay via the weak interaction into electrons and neutrinos. One such decay is</p>
<p>\[{\mu ^ + } \to {e^ + } + {v_e} + {\bar v_\mu }\]</p>
<p>(i) Using the table provided, show that in this decay, lepton number <em>L</em>, electron lepton number <em>L</em><sub>e</sub> and muon lepton number <em>L</em><sub>μ</sub> are all conserved.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) Label the Feynman diagram below for the decay of a positive muon (μ<sup>+</sup>).</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
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