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</div><h2>SL Paper 3</h2><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 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 class="p1">This question is about wave–particle duality.</p>
</div>
<div class="specification">
<p class="p1">A particle of mass \({\text{6.4}} \times {\text{1}}{{\text{0}}^{ - {\text{27}}}}{\text{ kg}}\) and charge \(3.2 \times {10^{ - 19}}{\text{ C}}\) is accelerated from rest through a potential difference of 25 kV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe what is meant by the de Broglie hypothesis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the kinetic energy of the particle.</p>
<p class="p1">(ii) Determine the de Broglie wavelength of the particle.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about nuclear physics and radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>decay constant.</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>A sample of 1.6 mol of the radioactive nuclide radon-210 \(\left( {{}_{86}^{210}{\rm{Rn}}} \right)\) decays into polonium-206 \(\left( {{}_{84}^{206}{\rm{Po}}} \right)\) with the production of one other particle.</p>
<p>\[{}_{86}^{210}{\rm{Rn}} \to {}_{84}^{206}{\rm{Po + X}}\]</p>
<p>(i) Identify particle X.<br>(ii) The radioactive decay constant of radon-210 is 8.0×10<sup>–5</sup>s<sup>–1</sup>. Determine the time required to produce 1.1 mol of polonium-206.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Particle X has an initial kinetic energy of 6.2MeV after the decay in (b). In a scattering experiment, particle X is aimed head-on at a stationary gold-197 \(\left( {{}_{76}^{197}{\rm{Au}}} \right)\) nucleus.</p>
<p>Determine the distance of closest approach of particle X to the Au nucleus.</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 radioactive decay.</p>
<p>A nucleus of magnesium-23 decays forming a nucleus of sodium-23 with the emission of an electron neutrino and a β<sup>+</sup> particle.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the existence of neutrinos was hypothesized to account for the energy spectrum of beta decay.</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 decay constant for magnesium-23 is 0.061 s<sup>−1</sup>. Calculate the time taken for the number of magnesium-23 nuclei to fall to 12.5% of its initial value.</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 wave nature of matter.</p>
</div>
<div class="specification">
<p class="p1">In 1927 Davisson and Germer tested the de Broglie hypothesis. They directed a beam of electrons onto a nickel crystal as shown in the diagram. The experiment was carried out in a vacuum.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_15.34.04.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/05.b"></p>
<p class="p1"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe wave-particle duality in relation to the de Broglie hypothesis.</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 electrons were accelerated through a potential difference of 54 V. Show that the associated de Broglie wavelength for the electrons is about \(2 \times {10^{ - 10}}{\text{ m}}\).</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">The electron detector recorded a large number of electrons at a particular scattering angle \(\theta \). Explain why a maximum in the number of scattered electrons is observed at a particular angle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect.</p>
<p>In a photoelectric experiment, light of wavelength 450 nm is incident on a sodium surface. The work function for sodium is 2.4 eV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate, in eV, the maximum kinetic energy of the emitted electrons.</p>
<p>(ii) The number of electrons leaving the sodium surface per second is 2 \( \times \) 10<sup>15</sup>. Calculate the current leaving the sodium surface.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The wavelength of the light incident on the sodium surface is decreased without changing its intensity. Explain why the number of electrons emitted from the sodium will decrease.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quantum physics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the de Broglie hypothesis.</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 accelerated from rest through a potential difference of 5.0 kV.</p>
<p>(i) Calculate the momentum of the electron after acceleration.<br>(ii) Calculate the wavelength of the electron.<br>(iii) Determine the energy of a photon that has the same wavelength as the electron in (b)(ii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The momentum of the electron is known precisely. Deduce that all the information on its position is lost.</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>With reference to Schrödinger’s model, state the meaning of the amplitude of the wavefunction for the electron.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the photoelectric effect.</p>
<p class="p1">When light is incident on a clean metal surface, electrons can be emitted through the photoelectric effect.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_09.55.29.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/05"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how the Einstein model is used to explain the photoelectric effect.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State why, although the incident light is monochromatic, the energies of the emitted electrons vary.</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">Explain why no electrons are emitted if the frequency of the incident light is less than a certain value, no matter how intense the light.</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 class="p1">For monochromatic light of wavelength 620 nm a stopping potential of 1.75 V is required. Determine the minimum energy required to emit an electron from the metal surface.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about energy level transitions.</p>
<p class="p1">Some of the electron energy levels for a hydrogen atom are shown.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_10.12.30.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/06"></p>
</div>
<div class="specification">
<p class="p1">A hydrogen atom is excited to the \( - 1.51{\text{ eV}}\) level.</p>
</div>
<div class="specification">
<p class="p1">Monochromatic radiation is incident on gaseous hydrogen. All the hydrogen atoms are in the ground state. Describe what could happen to the radiation and to the hydrogen atoms if the incident photon energy is equal to</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the diagram, label using arrows all the possible transitions that might occur as the hydrogen atom returns to the ground state.</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">State the energy in eV of the maximum wavelength photon emitted as the hydrogen atom returns to the ground state.</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">10.2 eV.</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">9.0 eV.</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>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define the <em>decay constant </em>of a radioactive isotope.</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 class="p1">Show that the decay constant \(\lambda \) is related to the half-life \({T_{\frac{1}{2}}}\) by the expression</p>
<p class="p1">\[\lambda {T_{\frac{1}{2}}} = \ln 2.\]</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">Strontium-90 is a radioactive isotope with a half-life of 28 years. Calculate the time taken for 65% of the strontium-90 nuclei in a sample of the isotope to decay.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about wave–particle duality.</p>
</div>
<div class="specification">
<p class="p1">In the photoelectric effect, electrons are not emitted from the surface of a metal if the frequency of the incident light is below a certain value called the threshold frequency.</p>
</div>
<div class="specification">
<p class="p1">Light of frequency \(1.0 \times {10^{15}}{\text{ Hz}}\) is incident on the surface of a metal. The work function of the metal is \(3.2 \times {10^{ - 19}}{\text{ J}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Explain, with reference to the Einstein model of the photoelectric effect, the existence of the threshold frequency.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State, with reference to your answer in (a)(i), the reason why the threshold frequency is different for different metals.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the maximum kinetic energy of the emitted electrons is \(3.4 \times {10^{ - 19}}{\text{ J}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Determine the de Broglie wavelength of the electrons in (b)(i).</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 nuclear energy levels and nuclear decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The isotope bismuth-212 undergoes α-decay to an isotope of thallium. In this decay a gamma-ray photon is also produced. The isotope potassium-40 undergoes β<sup>+</sup> decay to an isotope of argon.</p>
<p>Outline how the</p>
<p>(i) α particle spectrum and the gamma spectrum of the decay of bismuth-212 give evidence for the existence of discrete nuclear energy levels.</p>
<p>(ii) β<sup>+</sup> spectrum of the decay of potassium-40 led to the existence of the neutrino being postulated.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The isotope potassium-40 occurs naturally in many rock formations. In a particular sample of rock it is found that, out of the total number of argon plus potassium-40 atoms, 23% are potassium-40 atoms.</p>
<p>Determine the age of the rock sample. The decay constant for potassium-40 is 5.3×10<sup>–10</sup>yr<sup>–1</sup>.</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 plutonium as a power source.</p>
<p>Plutonium (\({}_{94}^{238}{\rm{Pu}}\)) decays by alpha emission. The energy of the alpha particle emitted is 8.8×10<sup>–13</sup>J. The decay constant of plutonium-238 is 8.1×10<sup>–3</sup>yr<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>decay constant</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>Plutonium-238 is to be used as a power source in a space probe.</p>
<p>(i) Determine the initial activity of plutonium such that the power released by plutonium is 6.0 W.</p>
<p>(ii) The power source becomes useless when the power released decreases to 4.0 W. Determine the time, in years, for which the power source can be used in the space probe.</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 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">
<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>This question is about the photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the concept 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>In the photoelectric effect there exists a threshold frequency below which no emission of photoelectrons takes place.</p>
<p>Outline how the</p>
<p>(i) wave theory of light is unable to account for this observation.</p>
<p>(ii) concepts of the photon and work function are able to account for this observation.</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>Light of wavelength 420 nm is incident on a clean metal surface. The work function of the metal is 2.0 eV.</p>
<p>Determine the</p>
<p>(i) threshold frequency for this metal.</p>
<p>(ii) maximum kinetic energy in eV of the emitted electrons.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect and the de Broglie hypothesis.</p>
<p>When photons are incident on a lithium surface photoelectrons are emitted. The work function <em>φ</em> of lithium is 2.9 eV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>work function.</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>Determine the maximum wavelength of the photons that can cause photoemission.</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>Calculate the momentum of an electron that has the same de Broglie wavelength as the wavelength of the photons 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 radioactive decay.</p>
<p>Nitrogen-13 \(\left( {{}_7^{13}{\rm{N}}} \right)\) is an isotope that is used in medical diagnosis. The decay constant of nitrogen-13 is 1.2×10<sup>–3</sup>s<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define <em>decay constant</em>.</p>
<p>(ii) A sample of nitrogen-13 has an initial activity of 800 Bq. The sample cannot be used for diagnostic purposes if its activity becomes less than 150 Bq. Determine the time it takes for the activity of the sample to fall to 150 Bq.</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) Calculate the half-life of nitrogen-13.</p>
<p>(ii) Outline how the half-life of a sample of nitrogen-13 can be measured in a laboratory.</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>Nitrogen-13 undergoes β+ decay. Outline the experimental evidence that suggests another particle, the neutrino, is also emitted in the decay.</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 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>This question is about the de Broglie hypothesis.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the de Broglie hypothesis.</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 the de Broglie wavelength of a proton that has been accelerated from rest through a potential difference of 1.2 kV.</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 a precise knowledge of the de Broglie wavelength of the proton implies that its position cannot be observed.</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 photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the photoelectric effect.</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>Light of frequency 8.7×10<sup>14</sup>Hz is incident on the surface of a metal in a photocell. The surface area of the metal is 9.0×10<sup>–6</sup>m<sup>2</sup> and the intensity of the light is 1.1×10<sup>–3</sup>Wm<sup>–2</sup>.</p>
<p>(i) Deduce that the maximum possible photoelectric current in the photocell is 2.7 nA.</p>
<p>(ii) The maximum kinetic energy of photoelectrons released from the metal surface is 1.2 eV. Calculate the value of the work function of the metal.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about neutrinos.</p>
<p>The spectrum of electron energies emitted in a typical β-decay is continuous. Describe how this observation led physicists to propose the existence of the particles now called neutrinos.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about radioactive decay.</p>
<p>Nuclide X has a half-life that is estimated to be in the thousands of years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the half-life of X can be determined experimentally.</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>A pure sample of X has a mass of 1.8 kg. The half-life of X is 9000 years. Determine the mass of X remaining after 25000 years.</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>Potassium-40 (K-40) is a radioactive isotope that occurs naturally in many different types of rock. A very small percentage of the isotope undergoes β<sup>+</sup> decay to form an isotope of argon (Ar). Construct and complete the nuclear reaction equation for this decay.</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>Overall about 10% of a sample of K-40 will decay to argon. In a particular rock sample it is found that there are 1.6×10<sup>22</sup> atoms of K-40 and 8.4×10<sup>21</sup> atoms of argon. The half-life of K-40 is 1.2×10<sup>9</sup> yr. Estimate the time elapsed since the rock sample was formed.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about the photoelectric effect.</p>
<p>In an experiment to investigate the photoelectric effect, light of frequency ƒ is incident on the metal surface A, shown in the diagram below. A potential difference is applied between A and B. The photoelectric current is measured by a sensitive ammeter. (Note: the complete electrical circuit is not shown.)</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">When the frequency of the light is reduced to a certain value, the current measured by the ammeter becomes zero. Explain how Einstein’s photoelectric theory accounts for this observation.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Monochromatic light of different frequencies is incident on a metal surface placed in a vacuum. As the frequency is increased a value is reached at which electrons are emitted from the surface. Below this frequency, no matter how intense the light, no electrons are emitted. Outline how the</p>
<p>(i) wave theory of light is unable to account for these observations.</p>
<p>(ii) Einstein model of the photoelectric effect is able to account for these observations.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows how the maximum kinetic energy <em>E</em><sub>K</sub> of the ejected electrons in (a) varies with the frequency <em>f</em> of the incident light.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Use the graph to determine the</p>
<p>(i) Planck constant.</p>
<p>(ii) work function of the metal.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that electrons of energy 0.50 eV have a de Broglie wavelength of about 1.7×10<sup>–9</sup>m.</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 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 the photoelectric effect.</p>
<p>The diagram shows apparatus used to investigate the photoelectric effect.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When red light is incident on the metallic surface M the microammeter registers a current. Explain how a current is established in this circuit even though nothing joins M to C inside the tube.</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 shows the variation with voltage <em>V</em> of the current <em>I</em> in the circuit.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The work function of the metallic surface M is 0.48 eV.</p>
<p>(i) Define <em>work function</em>.</p>
<p>(ii) State the maximum kinetic energy of an electron immediately after it has been emitted from M.</p>
<p>(iii) Calculate the energy of a photon incident on M.</p>
<p>(iv) The red light incident on M is now replaced by blue light. The number of photons incident on M per second is the same as in (b).</p>
<p>On the axes opposite, sketch a graph to show the variation with <em>V</em> of the current <em>I</em>.</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 photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows the set up of an experiment designed to verify the Einstein model of the photoelectric effect.</p>
<p><img 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" alt></p>
<p>The tungsten electrode is positive.</p>
<p>Explain how the maximum kinetic energy of electrons ejected from the positive electrode is determined.</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>Light of frequency <em>f</em> is shone onto the tungsten electrode in (a). The potential <em>V</em><sub>s</sub> for which the photoelectric current is zero is recorded for different values of <em>f</em>.</p>
<p>(i) Using the axes below, sketch a graph of how you might expect <em>V</em><sub>s</sub> to vary with <em>f</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) State the Einstein photoelectric equation in a form that relates <em>V</em><sub>s</sub> and <em>f</em>. Define, other than the electron charge, any other symbols that you might use.</p>
<p>(iii) Outline how a graph of <em>V</em><sub>s</sub> against <em>f</em> can be used to find the Planck constant and work function of tungsten.</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>The work function of tungsten is 4.5eV. Show that the de Broglie wavelength of an electron that has this energy is about 0.6nm.</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 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>