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<img style="width: 100%;" class="qb_logo" src="images/ib-qb-46-logo-683ef0176708d789b2acbf6ece48c55de4cd5ddac781fb455afe3540d22d050e.jpg" alt="Ib qb 46 logo">
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</div><h2>SL Paper 1</h2><div class="question">
<p>The energy-level diagram for an atom that has four energy states is shown.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_17.05.37.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/27"></p>
<p>What is the number of different wavelengths in the emission spectrum of this atom?</p>
<p>A.<span class="Apple-converted-space"> 1</span></p>
<p>B.<span class="Apple-converted-space"> 3</span></p>
<p>C.<span class="Apple-converted-space"> 6</span></p>
<p>D.<span class="Apple-converted-space"> 7</span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A graph of the variation of average binding energy per nucleon with nucleon number has a maximum. What is indicated by the region around the maximum?</p>
<p>A. The position below which radioactive decay cannot occur</p>
<p>B. The region in which fission is most likely to occur</p>
<p>C. The position where the most stable nuclides are found</p>
<p>D. The region in which fusion is most likely to occur</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A detector, placed close to a radioactive source, detects an activity of 260 Bq. The average background activity at this location is 20 Bq. The radioactive nuclide has a half-life of 9 hours.</p>
<p>What activity is detected after 36 hours?</p>
<p>A. 15 Bq</p>
<p>B. 16 Bq</p>
<p>C. 20 Bq</p>
<p>D. 35 Bq</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The average binding energy per nucleon of the \(_8^{15}{\text{O}}\) nucleus is 7.5 MeV. What is the total energy required to separate the nucleons of one nucleus of \(_8^{15}{\text{O}}\)?</p>
<p>A. 53 MeV</p>
<p>B. 60 MeV</p>
<p>C. 113 MeV</p>
<p>D. 173 MeV</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The half-life of a radioactive element is 5.0 days. A freshly-prepared sample contains 128 g of this element. After how many days will there be 16 g of this element left behind in the sample?</p>
<p>A. 5.0 days</p>
<p>B. 10 days</p>
<p>C. 15 days</p>
<p>D. 20 days</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Atomic spectra are caused when a certain particle makes transitions between energy levels.<br>What is this particle?</p>
<p>A. Electron</p>
<p>B. Proton</p>
<p>C. Neutron</p>
<p>D. Alpha particle</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A sample contains an amount of radioactive material with a half-life of 3.5 days. After 2 weeks the fraction of the radioactive material remaining is</p>
<p class="p1">A. 94 %.</p>
<p class="p1">B. 25 %.</p>
<p class="p1">C. 6 %.</p>
<p class="p1">D. 0 %.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>In a nuclear fission reaction, nucleus X splits into nucleus Y and nucleus Z. Which of the following gives a possible order of the nuclei from lowest to highest binding energy per nucleon?</p>
<p>A. Z → Y → X</p>
<p>B. Z → X → Y</p>
<p>C. Y → X → Z</p>
<p>D. X → Z → Y</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Bismuth-210 \(\left( {_{\;83}^{210}{\text{Bi}}} \right)\) is a radioactive isotope that decays as follows.</p>
<p class="p1">\[_{\;83}^{210}{\text{Bi}}\xrightarrow{{{\beta ^ - }}}{\text{X}}\xrightarrow{\alpha }{\text{Y}}\]</p>
<p class="p1">What are the mass number and proton number of Y?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-08-30_om_12.03.25.png" alt="N15/4/PHYSI/SPM/ENG/TZ0/25"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The initial number of atoms in a pure radioactive sample is <em>N</em>. The radioactive half-life of the sample is defined as the</p>
<p>A. time taken for one atom to undergo decay.</p>
<p>B. probability for \(\frac{N}{2}\) atoms to undergo decay.</p>
<p>C. time taken for \(\frac{N}{2}\) atoms to undergo decay.</p>
<p>D. probability that one atom will decay per unit time.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following is true about beta minus (\({\beta ^ - }\)) decay?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>An antineutrino is absorbed.</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>The charge of the daughter nuclide is less than that of the parent nuclide.</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>An antineutrino is emitted.</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>The mass number of the daughter nuclide is less than that of the parent nuclide.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Geiger and Marsden bombarded a thin gold foil with alpha particles. They observed that a small fraction of the alpha particles were deflected through angles greater than 90˚. What does this observation suggest about the nucleus?</p>
<p>A. It is at the centre of the atom.</p>
<p>B. It is surrounded by orbiting electrons.</p>
<p>C. It is made of protons and neutrons.</p>
<p>D. It is a small region of the atom and is positively charged.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The nuclear reaction \({}_1^2{\rm{H}} + {}_1^3{\rm{H}} \to {}_2^4{\rm{He + }}{}_0^1{\rm{n}}\) would best be described as</p>
<p>A. alpha decay.<br>B. nuclear fission.<br>C. nuclear fusion.<br>D. neutron capture.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>What is the definition of the unified atomic mass unit?</p>
<p>A. The mass of one atom of hydrogen.</p>
<p>B. \(\frac{1}{{12}}\) of the mass of an atom of carbon-12.</p>
<p>C. The mass of one atom of carbon-12.</p>
<p>D. \(\frac{1}{{16}}\) of the mass of an atom of oxygen-16.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following affects the rate at which a sample of a radioactive material decays?</p>
<p>A. The mass of the sample<br>B. The temperature of the sample<br>C. The volume of the sample<br>D. The pressure acting on the sample</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Nucleus P decays by a sequence of emissions to form nucleus Q. One \(\alpha \) particle and two β<sup>−</sup> particles are emitted during the sequence. Which statement is correct?</p>
<p>A. Nucleus P has the same number of neutrons as nucleus Q.</p>
<p>B. Nucleus P is an isotope of nucleus Q.</p>
<p>C. Nucleus P has a greater charge than nucleus Q.</p>
<p>D. Nucleus P has fewer protons than nucleus Q.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following correctly identifies the three particles emitted in the decay of the nucleus \(_{{\text{20}}}^{{\text{45}}}{\text{Ca}}\) into a nucleus of \(_{{\text{21}}}^{{\text{45}}}{\text{Sc}}\)?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\alpha ,{\text{ }}{\beta ^ - },{\text{ }}\gamma \)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\({\beta ^ - },{\text{ }}\gamma {\text{, }}\bar \nu \)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(\alpha ,{\text{ }}\gamma {\text{, }}\bar \nu \)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\alpha ,{\text{ }}{\beta ^ - }{\text{, }}\bar \nu \)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The rest mass of a proton is \({\text{938 MeV}}\,{{\text{c}}^{ - 2}}\). The energy of a proton at rest is</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(9.38{\text{ J}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(9.38 \times {10^8} \times {(3 \times {10^8})^2}{\text{ J}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(9.38 \times {10^8}{\text{ eV}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(9.38 \times {10^8} \times {(3 \times {10^8})^2}{\text{ eV}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">Many candidates appeared unfamiliar with the unit \({\text{MeV}}\,{{\text{c}}^{ - 2}}\), despite the fact that the Physics Guide states that students should be familiar with this unit.</p>
</div>
<br><hr><br><div class="question">
<p class="p1">A simple model of the hydrogen atom suggests that the electron orbits the proton. What is the force that keeps the electron in orbit?</p>
<p class="p1">A. Electrostatic</p>
<p class="p1">B. Gravitational</p>
<p class="p1">C. Strong nuclear</p>
<p class="p1">D. Centripetal</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">The question asks “What is the force?”, it does not ask “What is the nature/direction of the force?”. To distinguish the two it is probably best, when teaching, to use the adverb “centripetally” rather than centripetal. So we would say “The electrostatic force acts centripetally”. In this way the candidates understand that there are many different forces, all of which can act centripetally under certain conditions.</p>
</div>
<br><hr><br><div class="question">
<p class="p1">The Geiger–Marsden experiment provides evidence for</p>
<p class="p1">A. the existence of discrete atomic energy levels.</p>
<p class="p1">B. the existence of the neutron.</p>
<p class="p1">C. a dense positively charged nucleus.</p>
<p class="p1">D. the stability of some nuclei.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Emission and absorption spectra provide evidence for</p>
<p class="p1">A. the nuclear model of the atom.</p>
<p class="p1">B. natural radioactivity.</p>
<p class="p1">C. the existence of isotopes.</p>
<p class="p1">D. the existence of atomic energy levels.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Data concerning nuclides are plotted using the axes below.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_18.21.24.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/25_1"></p>
<p class="p1">What are the axis labels for this graph?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_18.22.37.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/25_2"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the relationship between nucleon number <em>A</em>, proton number <em>Z</em> and neutron number <em>N</em>?</p>
<p>A. <em>A</em>=<em>Z</em>=<em>N</em></p>
<p>B. <em>A</em>+<em>Z</em>=<em>N</em></p>
<p>C. <em>A</em>−<em>Z</em>=<em>N</em></p>
<p>D. <em>Z</em>−<em>A</em>=<em>N</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">The nuclear reaction</p>
<p class="p1">\[_1^2{\text{H}} + _1^3{\text{H}} \to _2^4{\text{He}} + _0^1{\text{n}}\]</p>
<p class="p1">is an example of</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>nuclear fission.</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>radioactive decay.</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>nuclear fusion.</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>artificial transmutation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">A radioactive isotope has a half-life of two minutes. A sample contains sixteen grams of the isotope. How much time elapses until one gram of the isotope remains?</p>
<p class="p1">A. 6 minutes</p>
<p class="p1">B. 8 minutes</p>
<p class="p1">C. 10 minutes</p>
<p class="p1">D. 12 minutes</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>When an alpha particle collides with a nucleus of nitrogen-14 \(\left( {{}_7^{14}{\rm{N}}} \right)\), a nucleus X can be produced together with a proton. What is X?</p>
<p>A. \({}_8^{18}{\rm{X}}\)</p>
<p>B. \({}_8^{17}{\rm{X}}\)</p>
<p>C. \({}_9^{18}{\rm{X}}\)</p>
<p>D. \({}_9^{17}{\rm{X}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The binding energy per nucleon of \({}_4^{11}Be\) is 6 MeV. What is the energy required to separate the nucleons of this nucleus?</p>
<p>A. 24 MeV</p>
<p>B. 42 MeV</p>
<p>C. 66 MeV</p>
<p>D. 90 MeV</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following is true in respect of both the Coulomb interaction and the strong interaction between nucleons in an atom?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_08.26.45.png" alt="M10/4/PHYSI/SPM/ENG/TZ1/23"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A radioactive sample has activity <em>A</em><sub>0</sub> at <em>t</em>=0. What will be the activity of the sample after two half-lives?</p>
<p>A. zero<br>B. \(\frac{{{A_0}}}{4}\)<br>C. less than \(\frac{{{A_0}}}{4}\) if the sample is kept at high pressure<br>D. greater than \(\frac{{{A_0}}}{4}\) if the sample is kept at high temperature</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
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<p>Element X decays through a series of alpha (<em>α</em>) and beta minus (<em>β</em><sup>–</sup>) emissions. Which series of emissions results in an isotope of X?</p>
<p>A. 1<em>α</em> and 2<em>β</em><sup>–</sup></p>
<p>B. 1<em>α</em> and 4<em>β</em><sup>–</sup></p>
<p>C. 2<em>α</em> and 2<em>β</em><sup>–</sup></p>
<p>D. 2<em>α</em> and 3<em>β</em><sup>–</sup></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
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<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>Which Feynman diagram shows beta-plus (β<sup>+</sup>) decay?</p>
<p><img src="images/Schermafbeelding_2018-08-10_om_16.58.22.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/24"></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
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<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p class="p1">A radio-isotope has an activity of 400 Bq and a half-life of 8 days. After 32 days the activity of the sample is</p>
<p class="p1">A. 200 Bq.</p>
<p class="p1">B. 100 Bq.</p>
<p class="p1">C. 50 Bq.</p>
<p class="p1">D. 25 Bq.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>As quarks separate from each other within a hadron, the interaction between them becomes larger. What is the nature of this interaction? </p>
<p>A. Electrostatic<br>B. Gravitational <br>C. Strong nuclear <br>D. Weak nuclear</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>Three of the fundamental forces between particles are</p>
<p> I. strong nuclear</p>
<p> II. weak nuclear</p>
<p> III. electromagnetic.</p>
<p>What forces are experienced by an electron?</p>
<p>A. I and II only</p>
<p>B. I and III only</p>
<p>C. II and III only</p>
<p>D. I, II and III</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>Which of the following lists three fundamental forces in increasing order of strength?</p>
<div class="column">A. electromagnetic, gravity, strong nuclear</div>
<div class="column">B. weak nuclear, gravity, strong nuclear</div>
<div class="column">C. gravity, weak nuclear, electromagnetic
<p>D. electromagnetic, strong nuclear, gravity</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p class="p1">The relationship between proton number \(Z\), neutron number \(N\) and nucleon number \(A\) is</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(A = Z - N\).</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(Z = A + N\).</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(N = A - Z\).</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(N = A + Z\).</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>The mass defect for deuterium is 4×10<sup>–30 </sup>kg. What is the binding energy of deuterium? </p>
<p>A. 4×10<sup>–7 </sup>eV </p>
<p>B. 8×10<sup>–2 </sup>eV </p>
<p>C. 2×10<sup>6 </sup>eV </p>
<p>D. 2×10<sup>12 </sup>eV</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>What is the energy equivalent to the mass of one proton?</p>
<p>A. 9.38 × (3 × 10<sup>8</sup>)<sup>2</sup> × 10<sup>6</sup> J</p>
<p>B. 9.38 × (3 × 10<sup>8</sup>)<sup>2</sup> × 1.6 × 10<sup>–19</sup> J</p>
<p>C. \(\frac{{9.38 \times {{10}^8}}}{{1.6 \times {{10}^{ - 19}}}}\)J</p>
<p>D. 9.38 × 10<sup>8</sup> × 1.6 × 10<sup>–19</sup> J</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<p>A simple model of an atom has five energy levels. What is the maximum number of different frequencies in the emission spectrum of that atom?</p>
<p>A. 4</p>
<p>B. 6</p>
<p>C. 10</p>
<p>D. 25</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p class="p1">In the Geiger–Marsden experiment \(\alpha \)-particles are scattered by gold nuclei. The experimental results provide evidence that</p>
<p class="p1">A. \(\alpha \)-particles have discrete amounts of kinetic energy.</p>
<p class="p1">B. most of the mass and positive charge of an atom is concentrated in a small volume.</p>
<p class="p1">C. the nucleus contains protons and neutrons.</p>
<p class="p1">D. gold atoms have a high binding energy per nucleon.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>The binding energy per nucleon of a \({}_1^3{\rm{H}}\) nucleus is 3 MeV. What is the minimum energy needed to<br>completely separate the nucleons of \({}_1^3{\rm{H}}\)?</p>
<p>A. 12 MeV<br>B. 9 MeV<br>C. 6 MeV<br>D. 3 MeV</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
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<br><hr><br><div class="question">
<p>Two pure samples of radioactive nuclides X and Y have the same initial number of atoms. The half-life of X is \({T_{\frac{1}{2}}}\).</p>
<p>After a time equal to 4 half-lives of X the ratio<span class="Apple-converted-space"> </span>\(\frac{{{\text{number of atoms of X}}}}{{{\text{number of atoms of Y}}}}\) is \(\frac{1}{8}\).</p>
<p>What is the half-life of Y?</p>
<p>A.<span class="Apple-converted-space"> \(0.25{T_{\frac{1}{2}}}\)</span></p>
<p>B.<span class="Apple-converted-space"> \(0.5{T_{\frac{1}{2}}}\)</span></p>
<p>C.<span class="Apple-converted-space"> \(3{T_{\frac{1}{2}}}\)</span></p>
<p>D.<span class="Apple-converted-space"> \(4{T_{\frac{1}{2}}}\)</span></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p class="p1">The number of neutrons and the number of protons in a nucleus of an atom of the isotope of uranium \(_{\;{\text{92}}}^{{\text{235}}}{\text{U}}\) are</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_05.05.26.png" alt="M09/4/PHYSI/SPM/ENG/TZ1/22"></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
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<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>What is the definition of the unified atomic mass unit?</p>
<p>A. \(\frac{1}{{12}}\) the mass of a neutral atom of carbon-12</p>
<p>B. The mass of a neutral atom of hydrogen-1</p>
<p>C. \(\frac{1}{{12}}\) the mass of a nucleus of carbon-12</p>
<p>D. The mass of a nucleus of hydrogen-1</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which particle is acted on by both the strong nuclear force and the Coulomb force?</p>
<p>A. Antineutrino<br>B. Electron<br>C. Neutron<br>D. Proton</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
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<br><hr><br><div class="question">
<p>The Feynman diagram shows a particle interaction involving a W<sup>–</sup> boson.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Which particles are interacting?</p>
<p>A. U and Y</p>
<p>B. W<sup>–</sup> boson and Y</p>
<p>C. X and Y</p>
<p>D. U and X</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A nucleus of the isotope plutonium-238 \(\left( {{}^{238}{\rm{P}}} \right)\) decays into a nucleus of uranium by emitting an alpha particle. What is the nucleon number of the uranium nucleus?</p>
<p>A. 234<br>B. 236<br>C. 238<br>D. 240</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The nuclear reaction equation for the decay of a nucleus of thorium-231 (Th-231) to a nucleus of protactinium-231 (Pa-231) is shown below.</p>
<p style="text-align: center;">\[{}_{90}^{231}{\rm{Th}} \to {}_{91}^{231}{\rm{Pa}} + {\beta ^ - } + x\]</p>
<p style="text-align: left;">The particle <em>x</em> is a/an</p>
<p style="text-align: left;">A. proton.<br>B. antineutrino.<br>C. neutron.<br>D. electron.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
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<p>Which of the following is the correct definition of the binding energy of a nucleus?</p>
<p>A. The product of the binding energy per nucleon and the nucleon number</p>
<p>B. The minimum work required to completely separate the nucleons from each other</p>
<p>C. The energy that keeps the nucleus together</p>
<p>D. The energy released during the emission of an alpha particle</p>
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<p>B</p>
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[N/A]
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<p>For which quantity can the unit MeVc<sup>–2</sup> be used?</p>
<p>A. Mass<br>B. Momentum<br>C. Kinetic energy<br>D. Binding energy</p>
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<p>A</p>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This proved to be a difficult question, with many candidates opting for response D. This is possibly down to the fact that they encountered these units in the topic on binding energy so they have made an incorrect connection. Often such questions can be approached by elimination. By being aware that responses C and D both involved energy, they were unlikely to be the correct answer. The physics data book also has the masses of particles expressed in the same units. </span></p>
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<p style="display: inline !important;">For which reason were quarks first introduced?</p>
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<div class="column">A. To explain the existence of isotopes</div>
<div class="column">B. To describe nuclear emission and absorption spectra</div>
<div class="column">C. To account for patterns in properties of elementary particles</div>
<div class="column">D. To account for the missing energy and momentum in beta decay</div>
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<p>C</p>
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[N/A]
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<p>The reaction <em>p</em><sup>+</sup> + <em>n</em><sup>0</sup> → <em>p</em><sup>+</sup> + \(\pi \)<sup>0</sup> does not occur because it violates the conservation law of</p>
<p>A. electric charge.</p>
<p>B. baryon number.</p>
<p>C. lepton number.</p>
<p>D. strangeness.</p>
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<p>B</p>
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[N/A]
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<p>Which statement about atomic spectra is <strong>not</strong> true?</p>
<p>A. They provide evidence for discrete energy levels in atoms.</p>
<p>B. Emission and absorption lines of equal frequency correspond to transitions between the same two energy levels.</p>
<p>C. Absorption lines arise when electrons gain energy.</p>
<p>D. Emission lines always correspond to the visible part of the electromagnetic spectrum.</p>
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<p>D</p>
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[N/A]
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<p>The half-life of a particular radioactive isotope is 8 days. The initial activity of a pure sample of the isotope is<em> A</em>.</p>
<p>Which of the following is the time taken for the activity of the isotope to change by \(\frac{7}{8}\)<em>A</em>?</p>
<p>A. 7 days<br>B. 24 days<br>C. 32 days<br>D. 56 days</p>
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<p>B</p>
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<p>Which of the following provides evidence for the existence of atomic energy levels?</p>
<p>A. Absorption spectra</p>
<p>B. Nuclear fission</p>
<p>C. The Geiger–Marsden experiment</p>
<p>D. Radioactive decay</p>
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<p>A</p>
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[N/A]
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<p>Which statement correctly describes the process of nuclear fusion?</p>
<p>A. The joining together of two small atoms to create a larger atom.</p>
<p>B. The splitting up of a large atom to create two smaller atoms.</p>
<p>C. The joining together of two small nuclei to create a larger nucleus.</p>
<p>D. The splitting up of a large nucleus to create two smaller nuclei.</p>
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<p>C</p>
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[N/A]
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<p>The nuclear equation below is an example of the transmutation of mercury into gold.</p>
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<p>\[{}_1^2{\rm{H}} + {}_{80}^{199}{\rm{Hg}} \to {}_{79}^{197}{\rm{Au}} + {\rm{X}}\]</p>
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<p>The particle <strong>X</strong> is a</p>
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<p>helium nucleus.</p>
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<p>proton.</p>
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<p>Nuclei of the isotope nitrogen-14 are bombarded with neutrons and as a result nuclei of an isotope of carbon are produced. The nuclear reaction equation for this process may be written as</p>
<p>\[_7^{14}{\rm{N}} + {\rm{neutron}} \to {}_6^A{\rm{C}} + {\rm{proton}}\]</p>
<p>What is the nucleon number <em>A</em> of the isotope of carbon?</p>
<p>A. 12</p>
<p>B. 13</p>
<p>C. 14</p>
<p>D. 15</p>
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<p>C</p>
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<p>Many candidates opted for B, presumably assuming that a neutron had no mass.</p>
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<p>In a particular atom, the nucleon number is the total number of</p>
<p>A. protons.<br>B. neutrons.<br>C. electrons.<br>D. protons and neutrons.</p>
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<p>D</p>
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[N/A]
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<p>Photons of energy 2.3eV are incident on a low-pressure vapour. The energy levels of the atoms in the vapour are shown</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p>What energy transition will occur when a photon is absorbed by the vapour? </p>
<p>A. –3.9eV to –1.6eV</p>
<p>B. –1.6eV to 0eV </p>
<p>C. –1.6eV to –3.9eV </p>
<p>D. 0eV to –1.6eV</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>When compared with beta particles and gamma-ray photons, alpha particles have the greatest</p>
<p>A. mass.</p>
<p>B. penetrating power.</p>
<p>C. range in air.</p>
<p>D. speed.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>In a neutral atom there are <em>n</em><sub>e</sub> electrons, <em>n</em><sub>p</sub> protons and <em>n</em><sub>n</sub> neutrons. What is the mass number of the nuclide?</p>
<p>A. <em>n</em><sub>p</sub> + <em>n</em><sub>e</sub> + <em>n</em><sub>n</sub></p>
<p>B. <em>n</em><sub>p</sub> + <em>n</em><sub>n</sub></p>
<p>C. <em>n</em><sub>n</sub> + <em>n</em><sub>p</sub> – <em>n</em><sub>e</sub></p>
<p>D. <em>n</em><sub>n</sub> – <em>n</em><sub>e</sub></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A freshly prepared sample contains 4.0 μg of iodine-131. After 24 days, 0.5μg of iodine-131 remain. The best estimate of the half-life of iodine-131 is</p>
<p>A. 8 days.<br>B. 12 days.<br>C. 24 days.<br>D. 72 days.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A nucleus of californium (Cf) contains 98 protons and 154 neutrons. Which of the following correctly identifies this nucleus of californium?</p>
<p>A. \({}_{252}^{98}{\rm{Cf}}\)</p>
<p><br>B. \({}_{98}^{154}{\rm{Cf}}\)</p>
<p><br>C. \({}_{98}^{252}{\rm{Cf}}\)</p>
<p><br>D. \({}_{154}^{350}{\rm{Cf}}\)</p>
<p> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which of the following gives the correct number of protons and neutrons in a nucleus of carbon-14 \(\left( {{}_6^{14}{\rm{C}}} \right)\).</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A nucleus of phosphorus (P) decays to a nucleus of silicon (Si) with the emission of particle X and particle Y.</p>
<p>\[{}_{15}^{30}{\text{P}} \to {}_{14}^{30}{\text{Si}} + {\text{X}} + {\text{Y}}\]</p>
<p>What are X and Y?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>In nuclear fission, a nucleus of element X absorbs a neutron (n) to give a nucleus of element Y and a nucleus of element Z.</p>
<p style="text-align: center;">X + n → Y + Z + 2n</p>
<p style="text-align: left;">What is \(\frac{{{\text{magnitude of the binding energy per nucleon of Y}}}}{{{\text{magnitude of the binding energy per nucleon of X}}}}\) and \(\frac{{{\text{total binding energy of Y and Z}}}}{{{\text{total binding energy of X}}}}\)?</p>
<p style="text-align: left;"><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A student suggests the following nuclear reaction between deuterium \({}_1^2{\rm{H}}\) and tritium \({}_1^3{\rm{H}}\)</p>
<p>\[{}_1^2{\rm{H}} + {}_1^3{\rm{H}} \to n{\rm{X}} + m{\rm{Y}}\]</p>
<p>where <em>n</em> and <em>m</em> are integers. What are X and Y?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">A few comments from the G2 forms suggested that B was indeed possible with </span><span style="font-size: 10.000000pt; font-family: 'Arial,Italic';">n </span><span style="font-size: 10.000000pt; font-family: 'Arial';">= 3 and </span><span style="font-size: 10.000000pt; font-family: 'Arial,Italic';">m </span><span style="font-size: 10.000000pt; font-family: 'Arial';">= 5. This is, however, only a mathematical possibility and there is no evidence that candidates were distracted. Over 80% of the HL candidates and 60% of the SL candidates selected the correct response, recognising the reaction as fusion. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>What gives the total change in nuclear mass and the change in nuclear binding energy as a result of a nuclear fusion reaction?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two pulses are travelling towards each other.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">What is a possible pulse shape when the pulses overlap?</p>
<p style="text-align: left;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhcAAAGLCAYAAAB0lbDtAAAgAElEQVR4Ae3df4xmVXkH8GeWRG2DawM2ZRcSSUMW/6FBISZtSN2o7LY2VGJbMQrBCklbhVKJQDTUP6opSgiJkVb+YZsKmmKxoZKKrLjBhNiUssZok+KWNKRdWZOSja4boU2caS67w8zuzHvn/XHuveec+yEhO/Pee8+Pz3NmfPzOu8PSysrKSviHAAECBAgQIJBIYFuicQxDgAABAgQIEHhZQHPhIBAgQIAAAQJJBTQXSTkNRoAAAQIECGgunAECBAgQIEAgqYDmIimnwQgQIECAAAHNhTNAgAABAgQIJBXYtLlYPrQv9i4txdLOj8eBY8tJJzQYAQIE0gm8FIf2vSeWmu9XG/7dG7ftOxCHjvsels7bSASmE9ikuXgpnn3y6/H9m++IOy76Vjz29NHpRnIXAQIEBhP4g7jvBy9G82t7Vv/9+fOfiHO+dVPsvunh+KH+YrDKmHicAhubi2Pfjvtu/8+45nfeH+++6ty48zNfjUO+MMd5OuyaQMEC23b8elx37RUR+/4uHnv2pYJ3YukEyhM4rblYjmNPPx73x57Ye+m5ccFlvxV79n89nvSFWV5lrZgAgRMCOy6I8895FQ0CBHoUOK25OBpPP7Y/4pp3xKXbt8W2C34jrtrznXjwyedCeDF7VZqfAd9zzz2zP+gJAgQWFlg+8s9x3xePxS0P3xi7t5/2rW7h0esfYON7WDZ7X4vX5nE6fPhw9QfolK+45UNfjc/cGXHN3l+L7c3Wt50fl1315th/+xfiCW/snOsw3HjjjXH0qPetzIXnIQJTC/x9XHfhL5zyps4zdl4WN+/7j/jR4Z/Ez6Yex43rBVbfv+LPtffyLGpxyy23xM9+Vv+JXNdcnHgj5/4dzY9Ezjp5vl5z4kcjR/Z7Y+f6r7gZPv7c5z4XX/rSl2Z4wq0ECMwusPENnSs//ff4yq0Rd/7eR+Pegz+efUhPECAwt8Bac7H8XDz54JMRR+6It7/ujFf+H8AZF14X++Ng3P/Y9+LY3NOM98H3ve99Ib0Yb/3tfECBM98YV153VeyJf4q7v/wd378GLIWpxydwsrlYjmNPfCFu33/Zhr/OtbLy8/jJNz8Wcee98dAh77ie9YicddZZIb2YVc39BNIIbDvn/Lh4R5qxjEKAwPQCJ5uLk2/k/OB7Y+8Frznt6W2x/dJ3xDU7nvTGztNkpv1UejGtlPsIpBVY/tFz8d0jl6y9jyzt8EYjQGCCwInm4tj34rH7I655/2/GuWs/KFl7ZPub4z03vzn2P/jteNZfG1lzmfIj6cWUUG4jkFLg+DPx8H0Pxv7d74/3vGX1fWQpJzAWAQKTBLZFvBSHHro37ryw7Qvwl+JNv/vu2LP/r+O+J16I1V8PvvO2A36OOUn2tNelF6eB+JRAUoGNf1tk6bU3xb9ceGM8/aUPxyVnrv4E+JnYt3en/7RBUnuDEdgosLTS/L0a/3Qi0Pz95/W8q7/z4oYbbuhkPoMSIEAglcDp379SjTv2cW699da4/vrrY9euXVVTbPZDkKo3POTmpBdD6pubAAECBPoS0Fz0JR0R3nvRI7apCBAgQGAwAc1Fz/TSi57BTUeAAAECvQtoLnoml170DG46AgQIEOhdQHPRO3mE9GIAdFMSIECAQG8CmoveqNcmkl6sWfiIAAECBOoT0FwMVFPpxUDwpiVAgACBzgU0F50Tbz6B9GJzF68SIECAQPkCmosBayi9GBDf1AQIECDQmYDmojParQeWXmxt5A4CBAgQKE9AczFwzaQXAxfA9AQIECCQXEBzkZx0tgGlF7N5uZsAAQIE8hfQXGRQI+lFBkWwBAIECBBIJqC5SEY5/0DSi/ntPEmAAAEC+QloLjKpifQik0JYBgECBAgsLKC5WJgwzQDSizSORiFAgACB4QU0F8PX4JUVSC9eofABAQIECBQsoLnIqHjSi4yKYSkECBAgMLeA5mJuum4elF5042pUAgQIEOhPQHPRn/VUM0kvpmJyEwECBAhkLKC5yLA40osMi2JJBAgQIDC1gOZiaqr+bpRe9GdtJgIECBBIL6C5SG+aZETpRRJGgxAgQIDAAAKaiwHQp5lSejGNknsIECBAIEcBzUWOVTm5JulFxsWxNAIECBCYKKC5mEgz/AXpxfA1sAICBAgQmF1AczG7Wa9PSC965TYZAQIECCQQ0FwkQOxyCOlFl7rGJkCAAIEuBDQXXagmHlN6kRjUcAQIECDQqYDmolPeNINLL9I4GoUAAQIE+hHQXPTjvPAs0ouFCQ1AgAABAj0JaC56gl50GunFooKeJ0CAAIG+BDQXfUknmEd6kQDREAQIECDQuYDmonPidBNIL9JZGokAAQIEuhPQXHRn28nI0otOWA1KgAABAgkFNBcJMfsYSnrRh7I5CBAgQGARAc3FInoDPSu9GAjetAQIECAwlYDmYiqmvG6SXuRVD6shQIAAgVMFNBenehTzmfSimFJZKAECBEYnoLkotOTSi0ILZ9kECBAYgYDmouAiSy8KLp6lEyBAoGIBzUXBxZVeFFw8SydAgEDFApqLwosrvSi8gJZPgACBCgU0F4UXVXpReAEtnwABAhUKaC4qKKr0ooIi2gIBAgQqEtBcVFBM6UUFRbQFAgQIVCSguaikmNKLSgppGwQIEKhAQHNRQRGbLUgvKimkbRAgQKACAc1FBUVc3YL0YlXCnwQIECAwpIDmYkj9xHNLLxKDGo4AAQIE5hLQXMzFlu9D0ot8a2NlBAgQGIuA5qKySksvKiuo7RAgQKBAAc1FgUXbasnSi62EXCdAgACBLgU0F13qDjS29GIgeNMSIECAwMsCmotKD4L0otLC2hYBAgQKENBcFFCkeZYovZhHzTMECBAgkEJAc5FCMdMxpBeZFsayCBAgULmA5qLiAksvKi6urREgQCBjAc1FxsVJsTTpRQpFYxAgQIDALAKai1m0CrxXelFg0SyZAAEChQtoLgov4DTLl15Mo+QeAgQIEEgloLlIJZnxONKLjItjaQQIEKhQQHNRYVE325L0YjMVrxEgQIBAFwKaiy5UMxxTepFhUSyJAAEClQpoLiot7Gbbkl5spuI1AgQIEEgtoLlILZrxeNKLjItjaQQIEKhIQHNRUTGn2Yr0Yhol9xAgQIDAIgKai0X0CnxWelFg0SyZAAEChQloLgorWIrlSi9SKBqDAAECBCYJaC4myVT8uvSi4uLaGgECBDIQ0FxkUIQhliC9GELdnAQIEBiHgOZiHHXesEvpxQYSLxAgQIBAIgHNRSLIEoeRXpRYNWsmQIBA/gKai/xr1NkKpRed0RqYAAECoxbQXIy6/BHSi5EfANsnQIBABwKaiw5QSxpSelFStayVAAECZQhoLsqoU6erlF50ymtwAgQIjE5AczG6km/csPRio4lXCBAgQGB+Ac3F/HZVPSm9qKqcNkOAAIFBBTQXg/LnM7n0Ip9aWAkBAgRKF9BclF7BhOuXXiTENBQBAgRGLKC5GHHxT9+69OJ0EZ8TIECAwDwCmot51Cp+RnpRcXFtjQABAj0JaC56gi5lGulFKZWyTgIECOQroLnItzaDrUx6MRi9iQkQIFCFgOaiijKm3YT0Iq2n0QgQIDA2Ac3F2Co+5X6lF1NCuY0AAQIENghoLjaQeKERkF44BwQIECAwr4DmYl65ETwnvRhBkW2RAAECHQhoLjpArWVI6UUtlbQPAgQI9CuguejXu7jZpBfFlcyCCRAgMLiA5mLwEuS9AOlF3vWxOgIECOQooLnIsSqZrUl6kVlBLIcAAQKZC2guMi9QDsuTXuRQBWsgQIBAOQKai3JqNehKpReD8pucAAECRQloLooq13CLlV4MZ29mAgQIlCaguSitYgOuV3oxIL6pCRAgUJCA5qKgYg29VOnF0BUwPwECBMoQ0FyUUadsVim9yKYUFkKAAIFsBTQX2ZYmz4VJL/Ksi1URIEAgJwHNRU7VKGQt0otCCmWZBAgQGEhAczEQfMnTSi9Krp61EyBAoHsBzUX3xlXOIL2osqw2RYAAgSQCmoskjOMbRHoxvprbMQECBKYV0FxMK+W+DQLSiw0kXiBAgACBiNBcOAZzC0gv5qbzIAECBKoW0FxUXd7uNye96N7YDAQIEChNQHNRWsUyW6/0IrOCWA4BAgQyENBcZFCE0pcgvSi9gtZPgACBtAKai7SeoxxNejHKsts0AQIEJgpoLibSuDCLgPRiFi33EiBAoG4BzUXd9e1td9KL3qhNRIAAgewFNBfZl6icBUovyqmVlRIgQKBLAc1Fl7ojG1t6MbKC2y4BAgQmCGguJsB4eT4B6cV8bp4iQIBATQKai5qqmcFepBcZFMESCBAgMLCA5mLgAtQ4vfSixqraEwECBKYX0FxMb+XOKQWkF1NCuY0AAQKVCmguKi3s0NuSXgxdAfMTIEBgOAHNxXD2Vc8svai6vDZHgACBVgHNRSuPi4sISC8W0fMsAQIEyhXQXJRbu+xXLr3IvkQWSIAAgU4ENBedsBp0VUB6sSrhTwIECIxHQHMxnloPslPpxSDsJiVAgMCgApqLQfnHMbn0Yhx1tksCBAisCmguViX82ZmA9KIzWgMTIEAgSwHNRZZlqW9R0ov6ampHBAgQmCSguZgk4/WkAtKLpJwGI0CAQNYCmousy1PX4qQXddXTbggQIDBJQHMxScbryQWkF8lJDUiAAIEsBTQXWZal3kVJL+qtrZ0RIEBgVUBzsSrhz14EpBe9MJuEAAECgwpoLgblH+fk0otx1t2uCRAYj4DmYjy1zman0otsSmEhBAgQ6ERAc9EJq0G3EpBebCXkOgECBMoV0FyUW7uiVy69KLp8Fk+AAIFWAc1FK4+LXQpIL7rUNTYBAgSGE9BcDGc/+pmlF6M/AgAIEKhUQHNRaWFL2Zb0opRKWScBAgSmF9BcTG/lzg4EpBcdoBqSAAECAwtoLgYugOkjpBdOAQECBOoS0FzUVc8idyO9KLJsFk2AAIGJApqLiTQu9CkgvehT21wECBDoVkBz0a2v0acUkF5MCeU2AgQIFCCguSigSGNZovRiLJW2TwIEahfQXNRe4YL2J70oqFiWSoAAgRYBzUULjkv9C0gv+jc3IwECBFILaC5SixpvIQHpxUJ8HiZAgEAWApqLLMpgEesFpBfrNXxMgACB8gQ0F+XVrPoVSy+qL7ENEiBQuYDmovICl7o96UWplbNuAgQIRGgunIIsBaQXWZbFoggQIDCVgOZiKiY3DSEgvRhC3ZwECBBYXEBzsbihEToSkF50BGtYAgQIdCyguegY2PCLCUgvFvPzNAECBIYQ0FwMoW7OqQWkF1NTuZEAAQLZCGgusimFhUwSkF5MkvE6AQIE8hTQXORZF6taJyC9WIfhQwIECBQgoLkooEiWGCG9cAoIECBQjoDmopxajXql0otRl9/mCRAoTEBzUVjBxrxc6cWYq2/vBAiUJKC5KKlaI1+r9GLkB8D2CRAoRkBzUUypLLQRkF44BwQIEMhfQHORf42scJ2A9GIdhg8JECCQqcDSysrKSqZr23RZS0tLm76e64uF8ebKeMq6jh49GmefffYpr+X+iXOQe4W6X19p37saEec2/bkYyzkorrlIX2ojEiBAgAABAikF/FgkpaaxCBAgQIAAgdBcOAQECBAgQIBAUgHNRVJOgxEgQIAAAQKaC2eAAAECBAgQSCqguUjKaTACBAgQIEBAc+EMECBAgAABAkkFNBdJOQ1GgAABAgQIaC6cAQIECBAgQCCpgOYiKafBCBAgQIAAAc2FM0CAAAECBAgkFdBcJOU0GAECBAgQIKC5cAYIECBAgACBpAKai6ScBiNAgAABAgQ0F84AAQIECBAgkFRAc5GU02AECBAgQICA5sIZIECAAAECBJIKaC6SchqMAAECBAgQ0Fw4AwQIECBAgEBSAc1FUk6DESBAgAABApoLZ4AAAQIECBBIKqC5SMppMAIECBAgQEBz4QwQIECAAAECSQU0F0k5DUaAAAECBAhoLpwBAgQIECBAIKnAxubi+KE48NBdce3OpVhaOvHvzmvviocOHIrjSac2GAECBBYVWI5jBz4eO09+r1r9nnXiz4vi2rsejAOHji06iecJEJhRYF1zsRzHD/1D3HbFO+OT//or8acH/zdWVlZiZeUn8cTVZ8QjV++OK+56SoMxI7DbCRDoQ+CSuPWb/3Pye1bzfWslVn76lbg6vhZX7/5I7HtGg9FHFcxBYFVgrbk4/nTc+0c3xP2/emc8cMc1ccmOV528Z3vsuvym+KtHbom45UPxyQMvrD7rTwIECOQrcOauuPzmv4h7fvupuO5P7ouDx5fzXauVEahM4GRzsRzHnno47n7isvjUbe+Mc9dajpPb3RZnvum9cdfDfx57z1ttOiqTsB0CBOoT2PaGuPK2j8SeJ74YX37qaH37s6PiBI4eHcc5PNlGHI2nH9sfR3ZcEOefM6F52LYjLnnXu+Jtu7YXV0wLJkBgvALbzjk/Lt7xfHz3uRdCdjHec5DDzl988cU4++yz4/Dhwzksp9M1nGgull+I5777fMRFF8R5Z26ILTpdgMEJECDQvcCR+P4Pnveese6hzdAi8Oijj7589bzzzmu5q45LOok66mgXBAgQIJCxQJNafPrTn854hWmXdqK52Pb6OP/inRHffzYOe9NTWmGjESCQgcCOuOjCnXFmBiuxhHEKNKnF7t27R7P5k8nFWXHp3j2x48iz8dyP/m/i5pePHIx/9PsuJvq4QIBAbgLLcezpx+P+Izvj4vNfH6La3OozjvWsphbXX3/9ODYcsfq1ti22v+XKuHn3k3H7Z74WP9zwrqflOP7M38YfXvKB+OqPXx2/OBoeGyVAoGiB5f+Ox7/4SBzZ86G4bvfri96KxZcrsJpa7Nq1q9xNzLjytUb+zEvjjz9/R1z+6A1x9cfuj4NHVhOMY3HoG5+ND7/tY/FfH7g7PnXlG1Y7khmncjsBAgR6FDh+KL5x9yfihkffEvd99vdj19p3ux4XYaqxC4wxtWhqvu7LbVuc+cZr428OPhJ/duG/xUd3vvrkr/9+Xex+4OdxxQNPxCN/eXnsOPnE8qF9sXdpKXbediD87ruxf/nYP4GhBQ7GnW//5Vf+kwUv//rv194Yj5/1B/HIwc/HB9+47q/QLz8T+/bujKWdH48DxzbEtENvxPyVCYwxtWhKuLTS/J5c/xAgQIAAAQJJBZrU4q1vfWs88MADsfojkabxHcP/7K5LLpKaGowAAQIECIxaYKypRVN0ycWoj77NEyBAgEAXApulFs08kosutI1JgAABAgRGIDDm1KIpr+RiBIfcFgkQIECgP4FJqUWzAslFf3UwEwECBAgQqEZg7KlFU0jJRTXH2UYIECBAYGiBttSiWZvkYugKmZ8AAQIECBQmILU4UTDJRWEH13IJECBAIE+BrVKLZtWSizxrZ1UECBAgQCBLAanFWlkkF2sWPiJAgAABAnMJTJNaNANLLubi9RABAgQIEBifgNTi1JpLLk718BkBAgQIEJhJYNrUohlUcjETrZsJECBAgMA4BaQWG+suudho4hUCBAgQIDCVwCypRTOg5GIqVjcRIECAAIHxCkgtNq+95GJzF68SIECAAIFWgVlTi2YwyUUrqYsECBAgQGDcAlKLyfWXXEy2cYUAAQIECGwqME9q0QwkudiU04sECBAgQICA1KL9DEgu2n1cJUCAAAECpwjMm1o0g0guTqH0CQECBAgQINAISC22PgeSi62N3EGAAAECBF4WWCS1aAaQXDhIBAgQIECAwCkCUotTOCZ+IrmYSOMCAQIECBBYE1g0tWhGklysefqIAAECBAiMXkBqMf0RkFxMb+VOAgQIEBipQIrUoqGTXIz0ANk2AQIECBA4XUBqcbpI++eSi3YfVwkQIEBg5AKpUouGUXIx8sNk+wQIECBAoBGQWsx+DiQXs5t5ggABAgRGIpAytWjIJBcjOTi2SYAAAQIEJglILSbJtL8uuWj3cZUAAQIERiqQOrVoGCUXIz1Mtk2AAAECBBoBqcX850ByMb+dJwkQIECgUoEuUouGSnJR6YGxLQIECBAgsJWA1GIrofbrkot2H1cJECBAYGQCXaUWDaPkYmSHyXYJECBAgEAjILVY/BxILhY3NAIBAgQIVCLQZWrREEkuKjkotkGAAAECBKYVkFpMK9V+n+Si3cdVAgQIEBiJQNepRcMouRjJYbJNAgQIECDQCEgt0p0DyUU6SyMRIECAQKECfaQWDY3kotADYtkECBAgQGBWAanFrGLt90su2n1cJUCAAIHKBfpKLRpGyUXlh8n2CBAgQIBAIyC1SH8OJBfpTY1IgAABAoUI9JlaNCSSi0IOhmUSIECAAIF5BaQW88q1Pye5aPdxlQABAgQqFeg7tWgYJReVHibbIkCAAAECjYDUortzILnoztbIBAgQIJCpwBCpRUMhucj0QFgWAQIECBBYVEBqsahg+/OSi3YfVwkQIECgMoGhUouGUXJR2WGyHQIECBAg0AhILbo/B5KL7o3NQIAAAQKZCAyZWjQEkotMDoJlECBAgACBVAJSi1SS7eNILtp9XCVAgACBSgSGTi0aRslFJYfJNggQIECAQCMgtejvHEgu+rM2EwECBAgMJJBDatFsXXIx0AEwLQECBAgQSC0gtUgt2j6e5KLdx1UCBAgQKFwgl9SiYZRcFH6YLJ8AAQIECDQCUov+z4Hkon9zMxIgQIBATwI5pRbNliUXPRXeNAQIECBAoCsBqUVXsu3jSi7afVwlQIAAgUIFckstGkbJRaGHybIJECBAgEAjILUY7hxILoazNzMBAgQIdCSQY2rRbFVy0VHBDUuAAAECBLoWkFp0Ldw+vuSi3cdVAgQIEChMINfUomGUXBR2mCyXAAECBAg0AlKL4c+B5GL4GlgBAQIECCQSyDm1aLYouUhUaMMQIECAAIG+BKQWfUm3zyO5aPdxlQABAgQKEcg9tWgYJReFHCbLJECAAAECjYDUIp9zILnIpxZWQoAAAQJzCpSQWjRbk1zMWWCPESBAgACBvgWkFn2Lt88nuWj3cZUAAQIEMhcoJbVoGCUXmR8myyNAgAABAo2A1CK/cyC5yK8mVkSAAAECUwqUlFo0W5JcTFlYtxEgQIAAgaEEpBZDybfPK7lo93GVAAECBDIVKC21aBglF5keJssiQIAAAQKNgNQi33Mguci3NlZGgAABAhMESkwtmq1ILiYU1MsECBAgQGBoAanF0BVon19y0e7jKgECBAhkJlBqatEwSi4yO0yWQ4AAAQIEGgGpRf7nQHKRf42skAABAgROCpScWjRbkFw4ygQIECBAIDMBqUVmBZmwHMnFBBgvEyBAgEBeAqWnFo2m5CKvM2U1BAgQIDByAalFOQdAclFOrayUAAECoxWoIbVoiie5GO0RtnECBAgQyE1AapFbRdrXI7lo93GVAAECBAYWqCW1aBglFwMfJtMTIECAAIFGQGpR3jmQXJRXMysmQIDAaARqSi2aokkuRnN0bZQAAQIEchWQWuRamfZ1SS7afVwlQIAAgYEEakstGkbJxUCHybQECBAgQKARkFqUew4kF+XWzsoJECBQrUCNqUVTLMlFtUfWxggQIEAgdwGpRe4Val+f5KLdx1UCBAgQ6Fmg1tSiYZRc9HyYTEeAAAECBBoBqUX550ByUX4N7YAAAQLVCNScWjRFklxUc1RthAABAgRKEZBalFKp9nVKLtp9XCVAgACBngRqTy0aRslFT4fJNAQIECBAoBGQWtRzDiQX9dTSTggQIFCswBhSi6Y4kotij6iFEyBAgEBpAlKL0irWvl7JRbuPqwQIECDQscBYUouGUXLR8WEyPAECBAgQaASkFvWdA8lFfTW1IwIECBQjMKbUoimK5KKYo2mhBAgQIFCqgNSi1Mq1r1ty0e7jKgECBAh0JDC21KJhlFx0dJgMS4AAAQIEGgGpRb3nQHJRb23tjAABAtkKjDG1aIohucj2SFoYAQIECJQuILUovYLt65dctPu4SoAAAQKJBcaaWjSMkovEh8lwBAgQIECgEZBa1H8OJBf119gOCRAgkI3AmFOLpgiSi2yOooUQIECAQC0CUotaKtm+D8lFu4+rBAgQIJBIYOypRcMouUh0mAxDgAABAgQaAanFeM6B5GI8tbZTAgQIDCYgtThBL7kY7AiamAABAgRqE5Ba1FbR9v1ILtp9XCVAgACBBQWkFmuAkos1Cx8RIECAAIG5BaQWc9MV+6DkotjSWTgBAgTyF5BanFojycWpHj4jQIAAAQIzC0gtZiar4gHJRRVltAkCBAjkJyC12FgTycVGE68QIECAAIGpBaQWU1NVd6PkorqS2hABAgSGF5BabF4DycXmLl4lQIAAAQJbCkgttiSq+gbJRdXltTkCBAj0LyC1mGwuuZhs4woBAgQIEJgoILWYSDOaC5KL0ZTaRgkQINC9gNSi3Vhy0e7jKgECBAgQ2CAgtdhAMsoXJBejLLtNEyBAIL2A1GJrU8nF1kbuIECAAAECrwhILV6hGP0HkovRHwEABAgQWFxAajGdoeRiOid3ESBAgACBkFo4BOsFJBfrNXxMgAABAjMLSC2mJ5NcTG/lTgIECBAYsYDUYsTFn7B1ycUEGC8TIECAwNYCUoutjdbfIblYr+FjAgQIECCwiYDUYhMUL4XkwiEgQIAAgbkEpBazs0kuZjfzBAECBAiMSEBqMaJiz7hVycWMYG4nQIAAgQipxXynQHIxn5unCBAgQGAEAlKLERR5gS1KLhbA8ygBAgTGKCC1mL/qkov57TxJgAABAhULSC0qLm6irUkuEkEahgABAmMQkFosVmXJxWJ+niZAgACBCgWkFhUWtYMtSS46QDUkAQIEahSQWixeVcnF4oZGIECAAIGKBKQWFRWz461ILjoGNjwBAgRqEJBapKmi5CKNo+68LvMAAAEuSURBVFEIECBAoAIBqUUFRexxC5KLHrFNRYAAgRIFpBbpqia5SGdpJAIECBAoWEBqUXDxBlq65GIgeNMSIECgBAGpRdoqSS7SehqNAAECBAoUkFoUWLQMliy5yKAIlkCAAIEcBaQW6asiuUhvakQCBAgQKEhAalFQsTJbquQis4JYDgECBHIQkFp0UwXJRTeuRiVAgACBAgSkFgUUKeMlSi4yLo6lESBAYAgBqUV36mNJLoprLprC+IdAaQIrKyulLdl6EwuU+L3LuU18CCJiLOeguOYifamNSIAAAQIECKQU2JZyMGMRIECAAAECBDQXzgABAgQIECCQVEBzkZTTYAQIECBAgIDmwhkgQIAAAQIEkgpoLpJyGowAAQIECBDQXDgDBAgQIECAQFKB/wdupVoVUU9o7AAAAABJRU5ErkJggg=="></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An electron is accelerated through a potential difference of 100 V. Which of the following gives the correct gain in kinetic energy of the electron in both joule and electronvolt?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 13">
<div class="layoutArea">
<div class="column">Which nucleons in a nucleus are involved in the Coulomb interaction and the strong short-range nuclear interaction?</div>
<div class="column"><img 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fdX3MZDPBBAAAEEEEAAAQQQQAABBBBAAAEEEEiSwP9J0nbZLAIIIIAAAggggAACCCCAAAIIIIAAAh4BAlB0BAQQQAABBBBAAAEEEEAAAQQQQACBpAoQgEoqLxtHAAEEEEAAAQQQQAABBBBAAAEEECAARR9AAAEEEEAAAQQQQAABBBBAAAEEEEiqAAGopPKycQQQQAABBBBAAAEEEEAAAQQQQAABAlD0AQQQQAABBBBAAAEEEEAAAQQQQACBpAoQgEoqLxtHAAEEEEAAAQQQQAABBBBAAAEEECAARR9AAAEEEEAAAQQQQAABBBBAAAEEEEiqAAGopPKycQQQQAABBBBAAAEEEEAAAQQQQAABAlD0AQQQQAABBBBAAAEEEEAAAQQQQACBpAoQgEoqLxtHAAEEEEAAAQQQQAABBBBAAAEEECAARR9AAAEEEEAAAQQQQAABBBBAAAEEEEiqAAGopPKycQQQQAABBBBAAAEEEEAAAQQQQAABAlD0AQQQQAABBBBAAAEEEEAAAQQQQACBpAoQgEoqLxtHAAEEEEAAAQQQQAABBBBAAAEEECAARR9AAAEEEEAAAQQQQAABBBBAAAEEEEiqAAGopPKycQQQQAABBBBAAAEEEEAAAQQQQAABAlD0AQQQQAABBBBAAAEEEEAAAQQQQACBpAqclNSts3HHBfJ65Tq+TTaIAAIIIIAAAggggAACCCCAAAII2BGoP9xgJ7mYAWWLi8QIIIAAAggggAACCCCAAAIIIIAAAnYFmAFlVyxN0tuNNKZJsSkGAggggAACSRfwzRZmX5l0ajJAAAEEEEAAgU4o4Btr2a06M6DsipEeAQQQQAABBBBAAAEEEEAAAQQQQMCWAAEoW1wkRgABBBBAAAEEEEAAAQQQQAABBBCwK0AAyq4Y6RFAAAEEEEAAAQQQQAABBBBAAAEEbAkQgLLFRWIEEEAAAQQQQAABBBBAAAEEEEAAAbsCBKDsipEeAQQQQAABBBBAAAEEEEAAAQQQQMCWAAEoW1wkRgABBBBAAAEEEEAAAQQQQAABBBCwK0AAyq4Y6RFAAAEEEEAAAQQQQAABBBBAAAEEbAkQgLLFRWIEEEAAAQQQQAABBBBAAAEEEEAAAbsCBKDsipEeAQQQQAABBBBAAAEEEEAAAQQQQMCWAAEoW1wkRgABBBBAAAEEEEAAAQQQQAABBBCwK0AAyq4Y6RFAAAEEEEAAAQQQQAABBBBAAAEEbAkQgLLFRWIEEEAAAQQQQAABBBBAAAEEEEAAAbsCBKDsipEeAQQQQAABBBBAAAEEEEAAAQQQQMCWAAEoW1wkRgABBBBAAAEEEEAAAQQQQAABBBCwK0AAyq4Y6RFAAAEEEEAAAQQQQAABBBBAAAEEbAkQgLLFReLMFGhWU+12VZQ/qPmj8pXXK9fyL19j5j6oinU1OtwcVDtXjX7+sxq5gt5Ou5cN5RoTUCdL/UaV63DaFTj+Armq5+mccHXtN081SW+sEzq8606N6WMa99VFM8pV2xTcceKvH2umiwDtnC4tQTkcEmhuUM264H2g+R22VBVba9VkzaZhg+aXH7C+w/OME2hSzdwfWMY6lnFBryJVNCR9Z5lxYhQ4nQXYJ6dz6zhbNtraWc/03BoBqPRsF0rliECjarcuV8ngs1UwdpaWLr5Xm+s+C9ryZ3qn8l4tvWu6huWZwaiHta220UhzQvWPrtWz/whKno4vc0u0/fBbqrxpoLLTsXwOlim7cLn+WL9b94zo6eBWY99Uc+0Duq7kUb3jGbu7dLRqiSbPfkZmj+HRcQRo547TltTEPABTrpKLfqjiu4L3geZ32FotnT1OBYOLtcITiDL2fburdQi4DBfI0dAV/6296yarR4bXhOIjwD658/QB2rpztDUBqM7Rzp2uls0NL2rRqKGaMHuNqo9ajvT1GKbSRfdpy9uHVH+4wfvvXVWt+6XmFuVqf+VKzRl7rnHU8GyNWPxm+s9+8rdsdw0YcYFO97/uwE+y8jRy0oXq0u5VdOnDt/bqSFC+rt/+TnWWLha0OHkvm/erYtz1HMmORziiXZq1czz1Yx0EPAJG8Kn6Z7pq7BLvfrCnCm9aFbD/O1CzTrfPL1L/xiqVmYEoz77vd/oyVsGIn6VYN0K65AhkKWfIcA1p/51lcqoTbav0xWhCGbo8zfbJ9LP4+1FUuzRr6/hryppRBAhARQFicaYJGAPuvas0fsTN2hQw28kYeC/aor1vVmhuyRgNzMmyVKyLehX+h0pXPKM/1jysSfmnWJZlztOsnG7qmjnFzcCSZus75xYoeO5V9kUXKL/dp54ZsxTW3amV+77IQMdUFzmaXTq1c6qtyD+jBRqf0ZzSjTrqqcSZmrhum8rnjQvY/2XlDtW0G5dr+54tWjAs+NstWu2jfZairc9yBJwSoC86JZl+20mnfTL9LP7+EYtdOrV1/DVlzegCBKCiG5EiYwTM4NP9un7SQ95TpHwF76nhqx7VmpIC5fjeCvM3K/dKLX66UgsGZWYQKky1eNshgayBt+ix8uvV3xNwylaPYQu1cdVodXdo+7Fuprn+cc1bkUkz9GKtWfLTxWKXLu2cfA1y6LgCX6i2okzVvtmZPa/Q1ZecFr66OQUqXvuordObY/kshc+QJQg4J0BfdM4yHbeULvtk+ln8vSNWu3Rp6/hrypqxCJwUSyLSIJARAk3VWnZzWVDwyQgSFP1cy8bnyTrnKWJ9svqpeN0qHbr8Zj0XMSELO5+AMVtu+B3afvCO1FW9aZcWTblHtb4flqkrSeblHLNdGrRz5ulS4rQSOKK9v/3AXomM05vHrfi5fl83W/ujrRnzZynahliOQIIC9MUEATNh9TTYJ9PP4u8otuzSoK3jrylrxijADKgYoUiW7gLHVLNksTZbr/dkFjn7Us2eVxh15lOb2uUMUcmMgg5/Ue829eaN9BZoekMrps5u28/Tu9TpUTrs0qMdKEX7CLj+rEMHTrTmdeR5lW2vV9R7duZcpKvH5rauF+oZn6VQKryXCgH6YirUO1+e9LP42xy7+O068JoEoDpw43amqjXXrtMvKt9vU+Xsiy/XJd1jnvtkWb+L8sZN1EXMEbSY8DSVAp4L608tVVnAtc1SWaLMyRu7zGkrSposgSPaNft63Vi+V00RszhZ+SMuDXvnND5LEfFY2I4C9MV2xO7EWdHP4m987OK36+hr8vO6o7dwp6jfX/TMQ5va3J1MxrynIVcOjv/6PN3H6eElkQGbG2q04aWdemZVpeXUP/NOQ/+hC88boamFuSFO/TugilGjtbTOcnTan815WlDzhIpzs+WqnqcB0ysVKlWXonV6e8VQR2ZoxVcHlw6XT9GwxXv8JW990sO42O0OLSvsosPVW/TSzs26r7LOe0dB06ZE1xQVaWiu79Y8J8Kkm6Ufl44OuGBuax7hn3nqU/mEKlZXeS++GyrP8OuHXNJQrjFDl+idUAu7FKnineUa6rkuVJNq5l6h4sqWy/4GJve5NKt26yY99ViZNvuCSebdGefcrBvGDwwxWy/ctc3Mre/R0qF9tdSfUWv/8b9lPmmq1bbNO7XjkfWtd4U087xhioquG6peATHaSG1r3X6jUY8K/fqeRzzbzM6/Xg89ME+X+dvVVwKj/LXPactbH+rQc+WtdTYXZ+dr4uxpunrSyNjb2VOX/9bvg7aVnV+kWSN/oPMnWrdl0+6RS/T8jJUxtLOvbq1/4/scmesno8+0lotnnVQg+yydf1GONldZw01HVL14ggY/V6Tbbr1R00Lun6SsgbO0ZmCwm83PUs2jumz39WH2EfF8j0jxfcaS/PlqblDNY8/rpe1B323BfNbX+QtV9WyJelnfi+W5+d23aZM2+Mcbp6h/UammTp6kcbn7NH9MjX64a4l3XxTLBs3v8G3a9eIGlVUd8axgfo9G6hvBW42vTRLdx2SHud6nWboY94nBFWnzOtEy+sY3vg3Hux9Mcv81i+dkH7Y11vDZRPgb89jL3IbTVna/81rG7gG1seXhdJ8zSxJvvwuoRcuLZI69zN89ejTGcXbbssX3PeR0f2lbLt4JL8AMqPA2LMkUgcY3teNV6yDbV/A+umBQhIuu+pLF9dcYuJXfoIuHTtfdy57WsYsXem9t/a6qyi/TsYplunv6D3XxjPtU0xAcQuqr4mdrVbXqR2GPMptFyi5crj++vVYTeyTrFmuJ1CFbvUo2au/Wmd4LcgchGgOa3Quv1uXTf6YV/uCTmcb4AbT6DhVPnqNtpkvEdLM1eer92tsU9aQRb+ZfqP7lO407IBpt4g8+WfIccbUW7WqIfgqKd2sBf3JLtP3wW6q8aWCUoF+Ohq74b+1dNzlE2zarcc8Tmj9qqCbMXhkYiDlq3gL9OhWX7w8qn7HO1ps0eHzwhfUDShfhhRHc23Wnxpw3TnMWb9SxwvtVVd+gAzXLNVyvquyu6bp87J3aHdBHo7StmVtzvbbdMMaoxxp/QMtV96hm3v2iGi2laW7YpXtnXKqCsav0O12o+c/Wqf6w+RnxXsjdVafNy2ZpwnkTtWKvdU3LRvxPrXUp1/6LyrT38CF/H3TVVWrFYmNbl9+kilpzW3HYffeGGNvZXyjjSSKfI3M7TvcZa9l43nkFTtclV54X8vvK/KwsnV6oc0bNU9nW2igzokzBOD5LRs4R9xGezcb2PZLYZyxZny/zh125Si76oYrvutf4Pj/huSnFlrcPqb5+t62LucfUR41rqMy//GrNWbZDKn7S+O5rML5La3THuX/WhqJzlTfgBuPU7Fj3lUaOTW+pYob5Hb7EH3wyy9HSN6bq5q3RTtdM5Hsvkb7xrA4ktE+MSdtIlEgZndwPJqv/mg5O9mHr/jnWsUYMbRHz2MvclpNW8XznWesTj4dzfc4siXPjL2tdkjT2Mgtsq63NFcxHIt9DTvaXltLwf+wCBKBityJlmgo0f3BQB0JdkLlLrvJ6JiN4Y9xKtHymJi/e1TLDJrtA0xZe653BYV48b47uKO5raLl0tOpXrcGWAD8j3aVD9b1oxcs5Tz+8OBn3WHOiDlnKKRipH50dfKTvqDaXXK07PrpUq2veNQbJIQI3R5/Xwlvm6Lax4yzpfq+KojMDlFx1Zfpp2dtBQZmAJK0vTjyvpb/8UBeXVeuAOTh/O+i24kawY1PJNC2qPta6jq1n3TVgxAU6Peo6hsuQ4RoSzKJjRvCtTPu/v6w1CBQQXPxMtSvu1Pp6a8AyS93Hr9V+sz41C9W/Td7mTIIDhrH5Y8T8V+mZPdeSzBg0bJ2jKSWPtszO6zlFd/zySs9sp6zc8Vo851LPj1NP4OiWh4MCfeHa1tyycb21lZXSgpfaBNpcxxr1WUvmxg8c42Lpk2/Ww+aR9S4X6prrfXehND8jt+iWsT18KY2PSq3KJs1URUDdWxd7BsrVdwXW5bYfGMPNEOU8uktL/7NCtc3x2sXazmb5nPgcmdtxss+Y2+OBgNH/x/xUt0W4o6snaDt7nAoGF2tFxEBUvJ+lEJ9Pf8PE+D3iyGfM6c+Xd2ZE0RJ/AN5zvckV01vGAebF3JfOUqFl/56dP1OVZnDK/J62PfvJco3L7MGaWny+d6Zsdw00yrB150INtOTlJw77xJglNLZUz5++wLMvqm9zoMs4XXP+cj3TGC6g5cT3Xrx942/6atz7xLAgYRbEW0an94NO91+zuk724UTGGmHoA962s092yire7zyz4Il4ONDnzCI4Nv4y+km7jb3Mgttpa4e+hxwbr5vl5xGrAAGoWKVIl6YCxpfje/X6qB1L1+ZWoqcPUEEva7TBvIZGoXr6ymQGW2Y/rvrgsdypXRXX5al8203gr2N1CFOG7EFztGHtLO9pdt1VUPwfGhI0QHbVvaQ3eizQE/50p2noTVOCgiwuHfntPn0YJp+At42B+YInHtJPfaeVmLcVXxH4I0B6X5t/vs4ITgSsGfOLrJxu6hpz6uCE5h0ZV+nRJb4g0AhdHRxcdL2t56s/CF4xrtdmG982/3nvaYjZ6jnyMuX7T7UzBleXXu5vE1fdY1q6+WAMgb4vtH/1Uu0+r9g45eNk5VwyVdMsP3CzT+uuUzyltfxgMl+f2KEH7n3DMtPia8rt853Aern26vEtfwxdBvMOlwu3hKlLTxVcdEbgtj6qV0PMM+cCVzVfxdrOyf4cmUfh27PPtJXgnYwW8NzRtUyl+S2fyrB18czAHKfBoxZqs2f2YNiUDi2I9XvE+JlsfI/NW/Gm9xRuI/t497chSx7n5yvUHXfPPk+DrDv07t/XBZaDM+bBlJ8sqbZ8B4YsUOg3G1/Tk097r3HpelNPbgv8rs7Km66KslCzbkNvLvh7RTmX6sYZAwITu/Zox29Cj6yS2yax943AArfnq1jL6PB+sE0V4+y/5nYc7MPJGWsEVjbWfXLgWtZXCVhZNxPD8+R4xNrnzAI62O/aeexllj7Wtk7u91D79Rezzp3xQQCqM7Z6h6rzv/TZJ02tg9Ok18243tSSX6vWMuMq+6w+OsP/w76lAMFfoK59T6j8lXhn3jhdqWTXoYfGzJyoPKtJyGDbAE1bMDbw+kOndtdpQYEqHTikBot3WI2sM5R3hjUQaKTsPlhXXJwTuMqRau2q+yLwvXZ51V1DLj/Pe+TazDBEEMY4cnbw4J8d6M/BbdxdPzgvL/B6ZAFtYsy+euwZ1UUNzP1RT7/eUxMu8Z7aavzAnbbqdg03Z3L1+JGW3H5lyzXXXH/QS89abwrwmd6pMK4/FfaIuunh0seNn+pf5tOAR9BgysghsC4na2DpEi0Y5gv5Gtf8mluqQuuPwYDtOfUi2Nj4Wef4d0F79hmnXNhOWgnk/EBzN6y3fD7Cl85Vt1Hzx45RSdQLlYffRmxLYvweUbI/Y/F8voxTc6o2a3vQHXe79OutbwdU/pvK62fd9xgzop/dHTB2CEge4YXrf36n1/37QOO7enGRxi98UYf939fGrAnzYMDAkyNsxbrI2PfedKllX2Rd5nvepNd/96cQ+6Jkt0msfcNXzlT8jbGMju4HQ9Uznv5rbsfJPhzcH4L3z0Z2cY01QtU3kffitbKbZ7I8YuxzZnEd63fpOvYyKxns7PT4q736i1mXzvkgANU5251axysQ4npTWd276tTg7bUJpLyv7U+8FnB9nOBV2u11OtchYKDihEiOcvt+M2hDDXrh5XdDz7QJSpmxL9u08XfUO/drgdXJ/rZ697UE7GIMzHW58Hx93xJczMot0po3jdMA33zQmBXl3Z73AsgBGZ6ep9wcy4oBCyO8sB79D5fMnO32yGve0xBfU3mJ73S/cCs48H4bY+PIXaZ9FzjAwCYyQMDz+dilqnULNTHabCjzOn2Lp4W4Hp2z9YzpeyQtP2MJHPQ6YZx+d8QfSUoA1AjoP3lz4PX7zNluG++wcQHyOLNvhzaJqW/EWXynVoupjE7uB50quGc7DvbhNv3BubGGo1Vur40l0SOmPmfW06l+l65jL7OObZwZf5ksmfQgAJVJrUVZQwj8H53SLcdzLZs2C5uP6/in/kOEbRbbf8M4avSbnXotlvFjiECK608H9YGTxbFfAWONDKxDQoP2bHXt9vUgKRun9QWtmRkvbbRxQIX+VwffC3Uxf2uiLurT59uhP2/WZPqWRt++Qjf7ZiX1GK4FDxZroC/+1FSn3W/+NWCNcC8Cj/6HS9Xe79swTtvvgvY2I7/UChjXXiss0bJna7Rl1W1RAlGhrkfnZOlj+R7hM+YTz/7/LtCFwTODjYXm9ftKhw5vhxlrvpK0R5vE0jd85Ynxr3kntV7GNUGj/jtbY8oPxLDRWMvo3H4whkKlIImN/hBQuljGGgErZMiLZHrE2udMKmf6XXqOvcz62XBm/GWCpeXjpLQsFYVCIGYBY+r5d/OMC0PvMo7bBj1c7+vQB/8wTsOKdVp60PptXv5DHxx6P2hKuo2dgve6NAOTfmpQm4Jb3ugIdbBUh6chBEId3Qy+NXWI1YzT/4598v9CLbC8l6N+ecEzyiyLLU+zcofrp48Y/yzvGbeN0rayh7Uq4C6F1gTBz136s3HXPutl2YNTpOY1n6PUuJNr4gLGhavH32z8m6Ebqx/XmvsfDLwjpy8D7zXZps0rCDx117c8ob+xfI+k62es9aBXLMeiAph6FqjgjBCRpIBEIV50H6Jrxp6p6krrac2+dOaMtcm66s05emiV9yLovkWO/22PNomlbzheMZsbjL2MzuwHbRYvanKn+nAyxxpRK5GGCZLpEXufM2ES73fpOvYya9ce30NmPjySKcAMqGTqsu12Ecj6/vn6geVMotZMnT7K8k81GdeoifvhatInn7a9wk3c24trxY5Qh7gq3olW+lwNBz8Mqm8PTVxX6z1FzXfHvOC/72p7iXn3xiQ8zMDT8mJdNGCc5qz+k7636EltWXReDBm5dPyTvwWlO6HG46m4hpe1GHyOrBo8T0OBhvW6cfneCKca+2ZE/d44Ne8nKgy4I6dZH2Om6HO7Y7guXLLqnq6fMeMGDsMmakyQV3PjcQWODr7Q8UZr6PwUDbxutOVGEHbcjBt0LH1E94zwXecueF3zjrtLNHnq/UF3Mw1Ol+jrdG2TROvVTuvHvR90unxO9eE0HGs4TWVre2nqEVe/S9exl9kgfA/Z6pZpmpgAVJo2DMWyIZB9ga6eFuqHc7iLaNrYdkDSryqne5urPQWkiPgiO0fdTk31R64j1CGickwLW+/WFlPyDEsUqo1TFbRpVG3lQo05zww8Velo9kCVbt1uXKPp3BjvJhjqFMrPjevS/zXCD+v2aK5QxjbyTYvvAhvlJWkGCnypozEFkMxA1Cyt2Xh3y80ErDX9+BM1peyYSRp/xnIKNf/hUvW3TGZyvbpTr1hvshBwjRLjjkojbtfK6f3in02Wladxqzeo7Jr8sKdAm3fa+2nZ20n8bkzjNrH227R7nuh+MAkVcqQPh+oPqRprJMHI9ibTzSORfpeuYy+zUUI522gsxl82sJKXNNW/hpNXM7bciQROVv6ECRpoGQz6Kn/i6Y16zjoo9C2I5W/zZ2oKuIbUv+mM3meGHfwFbPLIIe23Hvw0F8Z7EeaADSf6oiPUIVGDbJ3e98wodwBKNI9Urp8mA4fmem27YYwmzN2odzznqhgzAOYu0eyC7jZwWk8VaF0p1TMzzJLwOWptD56lrcCRTfr19r/EVLys3PFaPOfSwP3bN7opJ2WjxHT+jBmn/hfcqkcrl7ZeS8v1G61asLXlznRNe1Ux9z5Ve7/3+l9zv55YXRR4x9eYWiUoUVauLlvylHaWXx8Q/GpNlezvxnRuk1aFNs9yS7T9cPCM31CvkzAL2JH9YJsaOfCGE304TcYaDmg4s4k08ki436Xr2MtsqQz9HnKmk3WYraRsaNFhBKlIWghk5Y3RzcY1Eto8XG/qyW0H4zgiaNx+dMHPtaXRevjXd70pay7NxilCn8W0/VC3aLduqX2ed4Q6JCqVq6tGnB3/kehEs0/6+tn6zrkFCjxZI9k/TIIrZX5+ZmjOy61XZsse9J9abnsGQKj+auQV4x37gkvl3OtQ5cq07wLnNNhSugo0qfqeh1TTFMvdL4zTcgadp36WqqR2n5XunzGjfAMnGRd136l7huUYasZpcC/P07A842LXAyZo6avdNHH+L1VR83ttX3Jl4sEnf7sYM9aG36Hte7Zoge8mD/5lxhPvtSatbzn3PN3bxLmaOrMlp/aDzpSm7VYS7cPpMNZoW6vUvZMuHk70u1CfdUM25WMvs3VDlY3xV+r6fXw5E4CKz4210k7AuEbCwqUqbXOL6Tju5uM5cjBOxZV/blPLrPzRunbQKZb3XfrYuC6UNUxlWWh5eqbGTBkiO3M/LCs7+rQj1CF2kLbn5GcPmqDx+U5dmD72kiSc8tTuOi3ELL9Q283Kv0xX9QxKHHE2RLOaqh/UiupjoTZn+73m2nX6RcAFc41ZZxcMiutHWNv+ahbngNY9tFONsZbMhl2sm2xbrsz7Loi1rqTLYIGjW3T7XO/MnCjVaG76RMf9aXI05MrBbfdZSfgs+bMMepLenzHjO7N2k+aPukqrshaoyrhZQr11ls3BZ7Tsxv/Q0NyQF6gMqmnkl67qhRoRfD2vnAIVP7JdlTcNDJy1ltVVXU/13W408nbjWZpWbdKOfTEeKyf3g/HkH32dxPtwqsca0evoQAob/SwdPJzqd20/66Zl6sdeZinalo3xl+mSSQ8CUJnUWpQ1skDODzR3Q1nbIJQxC2rplJ+oojb6z9Xmhhe1aOxYY+aGNHzVUk3LDfoRn9VHE2b+SD0sJTmx/5CCQ1WuhkM6aEmTPWiKSi45zfKO8TT72+rdN3hw+jd90tR6b53m+s16+Omjgesl+srJOiRalmSvbwQT97xubXcjEDhzjPKSNz5PXo1C3E7Wmllz/QYtWue9hXTWORp/XUHgDxOZsyGWaltD8Lmhxk1tG57RPXu+rxsKg/qoNQMbz/91/BN9HCm90S67d+yPlKJ1WYj+ai50Vd2nRVvr284+9ASQJ2u+NZhmx64158jPQpQr7u+CyDmxFIEEBFpm5lw+9k7tDvHZ92+4eb/W//IJ/91kswf9WPPHfMu/2P8kGZ8l/8aDnqTtZ8z44b73fl1ftMC4g+A3NfqmH8UVXA+qbYSXzfpzxUqtrw/+7u6ugtsWabrlYEP2RRcoP2jYEmHD9helU5u0Z1+0LyVH94Nx5B95FYf6cIrHGpHr6NBSO/0sDTwc63chPuumaMrHXmYhQpSN8ZcJkzkPAlCZ01aUNBYBTxBqfdup6Ud3aenYoRoz90Gtr24I+tFqXKhv63qVzR2tc4berE3v9vZcKHnN+LwQp2kZUz8LZ+tX1qOO7+7RvoDrTH2hP+x5u/XW8T1+pCWrrg0R9DhDQ0cOCAoSNOiZjb81QgVmUKBSN0+5R7Wt8aiIAoFHryMldbIOkfJp52Un3taePwTeHa25brdeOOIDNK5BtGiNFjsUZEm8dqHuMmK0e5u7KXlzyj5L519knuphfezXzt1GEKbpDa2a86pyLznDu7CL8qbfodsCZusZi44+rzmTZ+pe/2fghA5X36cbb6nVZaUXB14Xy/VnHToQ/IMn3guMGqcAVizWqr1mMND4vG3fr15XnB/U96UTr/9ef2hztpDZX2fp7qLgU2yPaNfs63Xjyl0t110xttzcsEv33vBjbcj7ieZb29mWnZcw6p9UfI5s9pmodSBBZxFw1T2q0qHDVbK8XNsCDsaY3wHlmj+2SEv3febhyM6fqSfWTQ+xzzIW2/0sJfQ90t6fsRg/X81va+0tZd5r2/1Vr7/8P559dlL7knEgbeWs5W2DiFmnqFs33xGVvpo+8/K2s9biLFjofZGDbZJQ34ijL8bjkGgZA/JMZD8YsKEwL2Lsv+bajvVhB8YaYWqT3LdtWNn6znPAw9E+ZyrG2+/Sdexl1snB7yFzc1EfNvpL1G2RwBQgAEU/6HgCnqnpu4xbSy9svUCop5af6Z3Ke3X39EL17WVcp8H/71xNmH2XVlQ2qF/RUm3Zs1lzI14o2TjqOK9cGxcNb5kJZV58dO461Xqus2EM5nfdozsrWmaiZOdfr7KN92hcyGn4oXZUxtHqyhtUYJSt79C7dXTs/bqnqEebNjrx6i79t/W6Hs0Nqtn8uj4KTvnuDlV6fvQHL3CiDuYRtOf0/LvBQYpGvbZzj2VAbpg8u02vBSfTfj1f+ZYlnRGYeHRjiHR/1Vv7PggKGvrq01OFM9doy9aFxm3EG1R2063+mW7mbLaf3+E9op+dr0nlz+ipkgTuQmQETvZW7jBKHfQ48bqeetY6EydcfYNcmv5Hu37716CNGUOFP9bolZAzFb6l0Qt/HHSxfeMU08VXqO+AuXpvygJNy7PMqMvqp+J1oYKxVXrY/xk4W5ff/6mufmCRhub4fsSYRQpXhya99lh52x9BQbXIvqRI1/UMOgzvqlXZeDMIvEsaNlKXjbtSQ4KS6MgaTeg3Wot2BQeJzduQG0HiNneAOqLqh25oue6K5zNzl94dvESPzvtBYDBNduxibWez0k58jszthPNOtM+Y2+bReQV6GjN5d+vA4Xe9+8O/qXr1Es0Ze65l/3e2hk1fYszkMYNPp6i/sQ/cuOFWFQR8H1gF7XyWwvXr2L5HWnJ14jMWrhxxfr4+2KfX/Qc2jHHF6ms8++zWMYV1fGE87zNa89eUhzj4ZXWN/twTRBxxteaX13iD7ka9thoH1erMnavZ1r/W7IHW08vD1Tto39v0liqfa7Nni7AvSmab2OkbdvpidN+2KcL5xVZG5/aD4coRZ/81K+pkH05orNFWve07dvbJSbCyNX4wSp+QR7jyx9bnTDvn+p25tfYce5n52WnrZH4PJfDZMqvBI6rAV9zGI2oqEqSNgDnAMR/mtQZ4xCbQ3FCjDbsP6Z8Hn9d9lXXGsQDrw7g98rBpmjb4bBVMHKmBYQfd1nVan3u2/dJOPbOq0ns01Fzm3eaVl2vC+IFBP4Rb1/U/M4NH9y3W7Q8Zt6n3vNmyfvGUSZpa2FWvzr3CuB5VqNPwemjiuh1alrtZY4Yu0Tv+DYZ4kr9QVc+WqFeIRfHVwaXD5VM0bPGeEFv0vtWlSBXvzFD9+NFa6hkgh0kaazpLHVzV83Te/VladOdsTRzovbJWU622bdqkDda26DFMpTN+pOFxtG1AaRvKoxt76rFAWhSuvVpdfv2A9NPSytZZcgGZmS+6qP+iZ7S9pG+bJeYsnwfuvksPV7Vc4Ds7v0i33XqjphXmhpixZ65uzvDbpl0vGrfw9q5jvmuuN+u6Sbq6TR+NoW0jlM/ctvkILKfZp2do9sxijfO1lxFSbKrdrGV3WH/8/qduuenaCNdNMdd5Tltefl7rV/s+L0ZmMbZzYJlaDALsYm7n5RoaFDyL73NkSjWpJuxn3FxuPIy+lUifadlI5/q/0+8rjb484e7uKntknGVGjPHjpnqLXtq5OXBf6Pn8XKTe546yfD4j95eonyVjTxt1HxHD94i1FPF9xpLw+WreqxWXTFaZPwhlLWWk50aA76ayEAHySOsYyxrWq2R1T92zYohxrb4t2r3nN5bvPzNoWKqpkycFtV0M9Tb3qca+6NaI44fw+yKz1PG1ibN9I3pfjOIbcrEzZQwsWzz7wRjaMZ79Q1L6sN2xRkj4wDdt7ZOTZOUtUWBbhhg/BJbceGXXw5k+ZxYjsKzx9LvgyiR57GVmZ6utA8sX3/dQcvtLYAk77qt4x1oEoDKsT8Tb0BlWTYqLAAIIIIBA3ALsK+OmY8WoAsaPMfMaUJMeshx4irqSN0GOCle9oPLxIa6vFesmSIdAwgL04YQJ2QACCHhmU5sMdifGcAoenQcBBBBAAAEEEEAAgZgEjOuPFMzW1p0Lg06JjmVl41SaF9805kbwQCCVAvThVOqTNwKdXeCkzg5A/RFAAAEEEEAAAQQQiE3AOLWmfIFmLt6lo57rC96vu4ZHOgV6k556rMx7nS3jOn/HGmVecct78nhsWZIKAUcF6MOOcrIxBBCwJUAAyhYXiRFAAAEEEEAAAQQ6p0CzGrcu0GQj+OQyrvfYs/jnEYJPplB3DRx/s/K/+//0xtg1Mq/cl31ad+Ny7zwQSJUAfThV8uSLAAItApyCR09AAAEEEEAAAQQQQCCqwL/02SdN3puZZKlrt1PC3PwhcENZOd3U1fPWmRozZQiznwJ5eNWuAvThduUmMwQQaCNAAKoNCW8ggAACCCCAAAIIIBAskK3vnFugnp63T+idRx5VTVNzcKKg18dUs/oJ4061xt2oihZpfuFpQct5iUB7CtCH21ObvBBAoK0AAai2JryDAAIIIIAAAggggEAbgayBt+ix8uvVP9tYdHSjbpq6UGXranQ4OA7V3KCadQ9q/qhhKq5sVuHMh/XE0uHKabNF3kCgfQXow+3rTW4IIBAo8BW38Qh8i1fpLMCtpdO5dSgbAggggEA6CLCvTIdW6OBlMANMj+1W/T8P6flVlXrHFVzfniq86T90wWl9ddl1Q9UrK3g5rxFIsQB9OMUNQPYIZLZAvGMtAlAZ1u7xNnSGVZPiIoAAAgggELcA+8q46VgRAQQQQAABBBCIKhDvWItT8KLSkgABBBBAAAEEEEAAAQQQQAABBBBAIBEBAlCJ6LEuAggggAACCCCAAAIIIIAAAggggEBUAQJQUYlIgAACCCCAAAIIIIAAAggggAACCCCQiAABqET0WBcBBBBAAAEEEEAAAQQQQAABBBBAIKoAAaioRCRAAAEEEEAAAQQQQAABBBBAAAEEEEhEgABUInqsiwACCCCAAAIIIIAAAggggAACCCAQVYAAVFQiEiCAAAIIIIAAAggggAACCCCAAAIIJCJAACoRPdZFAAEEEEAAAQQQQAABBBBAAAEEEIgqcFLUFCRIS4G8XrlpWS4KhQACCCCAQLoIsK9Ml5agHAgggAACCCCAgMQMKHoBAggggAACCCCAAAIIIIAAAggggEBSBZgBlVTe5G28/nBD8jbOlhFAAAEEEMhgAd/MJ/aVGdyIFB0BBBBAAAEE0lbAN9ayW0BmQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgXSKADVrKbqhbqozw3a1thstx6kRwABBBBAAAEEEEAAAQQQQAABBBBIU4E0CkB9pOonduio6009ue2gCEGlaY+hWAgggAACCCCAAAIIIIAAAggggIBNgbQJQDXXv6AnX20yiv+Zah97RnVEoGw2JckRcFrgC9Xe97BqXE5vl+0hgAACCCCAQOcRYDzRedo6lprSH2JRIg0CHVUgTQJQX6huyxbV+n7oHqnWrrovOqo59UIgMwQad+rX6z7IjLJSSgQQQAABBBBITwHGE+nZLqkqFf0hVfLki0BaCKRHAMr8Iqo4YAE5oHUP7VSj5R2eIoBAewqcUP22zXrNFxRuz6zJCwEEEEAAAQQ6iADjiQ7SkA5Vg/7gECSbQSBjBdIgANWsxt/sNH7o9lD//B5+SNerO/UKFyP3e/AEgfYUaK5/XPNWvCniT+2pTl4IIIAAAgh0LAHGEx2rPROtDf0hUUHWRyDzBVIfgGp+W4/c9xtp0HStuGOMevpMuRi5T4K/CLSvQNMbWjXrwdZTYts3d3JDAAEEEEAAgY4gwHiiI7Sic3WgPzhnyZYQyGCBFAegmtX0ylY9c+RrGjLlKvUtuFa3DMvxcnIx8gzuVxQ9QwWaG17UoqmlKqv7LENrQLERQAABBBBAINUCjCdS3QLplT/9Ib3ag9IgkEqBFAegPlL1Ezt0tOck/XjMtwyH03XJlecp2ydyZIeeeuWY7xV/EcgAgUbVbi3XihlDlDeqXIc9JT6hw9UbWt7rlas841+/UfNUtrVW5n0fwz/M9f5LZXNHq1+/ed670Rnbr1yoMX3M7eRrzMIXdTjUHSObarWt/EHNH5Xvyc/M05N+7oOqCJmvsd3yG3Tx0Ju1yRp8OlGpYk9eLeVurVOIUtvO07qNUHU1ljc3qGbdUpUM7uutxxCVrNwVus6+zZnrlM/zGvnq/bC21RpXlWveqxU3rPe2i28F/iKAAAIIIJBuAk6NJ0LtX2McS5gktvftCY4nbOcX3G6h6mukybjxhIP18BMZB/5rt6tijXWMZIyT+ozW/DX/pZqGE/6UctVofj/v2M87dvWMJf1jW1/SA6oYdbZlrNmyzjlza7yXcYi3P4Sqf4z9NqE+FCrfTOw/vvbhLwJpKOBO4ePLQ2vd43v3cV+87C33l75yHH/ZPe+CPu7vntnL8++s6VvdH/uW8dfvAkU6CXzpPr7vaXf5shnuC7391tN/R651N3z5nnvXglHus6zv+5/3cV9Y8pSRJqgux/e5t66e6x7du+Uz4NnWWXPd1X8/5N5a8u/+PtDyGRngLt7yZ8sG/u5uePkXxrrGtqff665+7+/eZR+79z21wL/Ns0b+wr3Lv8yyuvn0n9XueWd58zbz/WfQ8jYvE8gzXF2NPL987yl3qeW7wPed8N0zjbrNedl9vE05jDeOv+5ePrK/O7B+Rvmq7nUX+7ZltkuodXkPAQQ6jIDv+6LDVIiKdBIBB8cT4favMY0lTO4E9u2+1rI1nkgwv3D1zbTxhNP18LWF8WvqrWVj3d8bOdddXvWe93dX0Pio9yj3wpd9y7wrfhk09gw3hvKOv3zfvd+bU+1uM3yMpT+Eq39M/TaBPhQu30zrP/725gkCyRfwfd7t5pTCGVBfqG7LFtXqUt1SPEBZvuBczkW6emyu75W4GLmfgifpKuB6Vcsmz9LS1VU6GlDGj7Vn5Tz98qNLtbrmXdUfblD929u0rCjfO8vPpaMv364pC3ZZZkL9Rdtm/0w7PvkyYEvSFzrwyFI9mbdCew+/pS0rJqu/OVWwx7/rikHdvGmNozZb52hKyaPa33+ONqydpaG5XbzLumtg0S/16KaZnvVcdY+qdPIcbbMe7fKmtPcnkTzNuv5EGw5+EZTllzr+1iqNv/ZlfXfOU0Z9DbfD76qq/PqWOhvH1I5WrtTa2uD1jqlmyQKVvTtYS9bfrsv8de+iXoWztOaJORron14ZlCUvEUAAAQQQSLWAY+OJRMYSJkIi+/Z4EBPNr6OMJ5yuh68tjPHR3PGa8tuLtGHDEhUX5np/d3nHRxvv1vAexgDJVadNJdO0qNpy9klWnsYtmKr+vk2F+5tzvmZcN7j1LJZw6SK+n0i/TaQPOe3OeDRiM7MQAbsRK8fSe2c6hZrh9OW+Ze6LLbNEAmZIOVaAzNxQvJHGzKxtppX67+5Daye5W2c79XePXvZ6iJk6LUeh/Ol6T3KXH/LNVGqtc/DnIORsqdbk7pYZhebMpRHu5fs+tyyxPg0s41lj17oPBc/AiuUIlXeTTuUZWNdexgymle63jgcX7HP3vmUjvDPAgmZOmuX5eKu72Jw1FnbWlnf9cEfvrEw8RwCBjBZgX5nRzUfhjdlHTo0nAvevYWZeB4k7tW+PdUa1Y/kZ9Qisb+aOJxyph6ddjVl1VQuMGfqXuOdV/W9QS/teWsdXxjjqomXufdYh2Htr3aN9v8sijKH+WTXX/T1vurhnQHmLFFj/6P3WqT4UmG/m9h9fy/IXgWQKxDvWStEMqGY1Vm3W9qO5mj7zcnUPigNmDbRejNylI8/tVl2o69wErcdLBFIr0EVn5J3ROpuv5xTdcdsP5LusfmvZuqvgtkWa3tM7Hce1V49v+aOCu3jWGX3U1zdjJ7tA0+aNUi//VMHWrbU8+4ueWfLrljvX9SzU8PyTgxN4X3dR3riJGuLLet+vtWz7X8Kkjfa2c3lm5XRTV1922cONGUy3qiAnuLIn6/vnDVDLnC6XPjrwvmXmmLHyp4065jL+nvidXnrNcvTOt12drIHFpSo8yf8GTxBAAAEEEEhDAefGE/bGEiaFc/v22GCdza+jjCccqYfZAMbdxtf+fIuOdrlAPxxyWpgmyVbXbl9vXXZkr/Z+YA6oUvew12+d60OOuDMeTV3HIeeMEEhNAMr4Mnzkvt9IgyZofMgfylyMPCN6D4WMLNDNCKoEx1B8a2SdreEjfaeahgmyntpV3X3rZ52hvDN8p9P5NtL6t7n2cT1Q1XJJ8y4Xnq/v+9ZrTdL6rPtgXXGxLyzWpNdefFPG5bltPxzNs2dv9fNVL6urup4aqQItRXUda1TAvfpO7a7TPIG197W5tFiLdjW0Ceop50z1+QYRKNuNzQoIIIAAAqkTSGQ8YWMsYVbQ0X17DGKO59dRxhNO1MNsz7rdeuGIEUwKvqmM9cLivfpq2OI9ltb6UIcaPre8TsFTG/3W0T7khDvj0RR0GLLMJIGUBKBavgy/piFTrlJeyN+ZWeo+bKLGmOcjex7va/sTr8X1IzmTGoOydiaBk5U/olA9fVX++BM1/cv3wu5flz58a6+OxLxaYIA3vuuspSLPKBXM+Z4u6H9KSyLPdQwKdY5xt8GKaksgKqtAc9dOU68om2IxAggggAACmSGQyeOJNBxLmI3eYcYTFt8uRao4aF5TM5Z/b2hZoe9AZbp/Cix1jKmoToyBo2TUYfpPlHqyGIE4BVIQgDKmST60SUd6XKFrhp0evthcjDy8DUs6hEDA9OITxoDAPEIV1+NzNRz80MaaWTq1a9fWUwVdTfrkU7vRr1TkGaWKWf00bdXtLRfS9CZ11VVq6fRC9R1crBVbawNP2YuyORYjgAACCCCQCQKZO55Iw7GE2eAdZjzh0vFP/pYJXTiBMqZhH+ow/SeBZmFVBCIItHsAqrn+BT35qnGq0NGNKh7QW3kBU0BzLa/P0YTVB1qL7vqNHqh4u+0pNa0peIZAZglYpxcnVPL/Vf3+ltPvYt1Mdm5v9Yk1cch0qcgzZEEC3szKLdKanU9Z7jToXXy0SmWzx2nwqDu1O+E7/wVkyQsEEEAAAQRSK5Cx44n0HEuYjdkxxhP/VFPjpy19M6EDnant3pFzT88+1DH6T2R5liIQr0A7B6C+UN2WLarVYC2o8t6WPuJU0N/qnmG+KaBhrpMTb81ZD4F0EuhiBF99FyW3Xa5vKq+f73NinO/feFze4UZsW8rOUbdT7X4VpCLP2KqjnIGauGKb3nx6lUqH+U9y9KzsqntUpZPnaBtBqBgxSYYAAgggkFECGTWeSOOxhNnoHWo8cVC/2xfqBi0Z1btDFDaN+1CH6j8h6HkLgTgF7P7qjDMb72pNv9VTTzco++KJGpvnu+JwpE0GnqerIzv01Csd8cszkgHLOoVA397K9V3yzHaFv6qc7qf613L96aA+CL6lnn9piCen5ym3zR3nQqQLeCsVeQYUIMqLLGPcOE5zH/mN9j69VBPzvdeGMtc6+rwW3v0i15SLIshiBBBAAIEMFMio8US6jyXM9s/k8cTXlNvnO95ObNx05okXVB/D+LC5dpPW136RIZ0/3ftQJvefDOkCFDPjBNoxANWsxqrN2n40V9NnXq7uMVFxMfKYmEiUmQJHDmn/CbPo2ep50SD5hgj2KxN0AdIj1dpVF3ng0Nz0iY57MjLyHnmZ8kPeDCBSSVKRZ6TyGMsa1uvG5XuDTtM1d/yTtOzZGlXeNNCQbnm4fvs71cV7ya0oxWAxAggggAAC7SqQseOJNBxLmA3XYcYT2frOuQX+G9649j2oeev2B42TgnvqMb26+U/6+hn/FrwgTV+nYR/qMP0nTZucYmW8QPsFoJoP6ukn3pSrZ6GG558cO1ybi5Fv1tP1nl/tsW+DlAiknYARkN23R/vNcmUX6NoJ57ReFDyOsmblX6ar/KfwNeiFl9+NMMBoVtN79foowbxTkWdkmi919Lndqgt5dK+7Cm5botsGWWZCRd4YSxFAAAEEEMgAgcweT6TfWMJs8o4zngj0/Uy1i0t089b6MGNEY3y4d4Me/ri/LuluOTJ5aned5juCd+CQGkIewGvWp8ePh9lucj9GgXVsnzFw5Bp1nP4TuZ4sRSA+gXYKQBlfaK9s0Pp9WSqcda0GWr7Tohc7KLLt2qv1Za9xN6vocKRItcC7e7SvMWQ0xCjZR3rlxT1yGXNyeoydrgnRTkltPq7jn4bblrG5rAG64a4J6uGps3G9tIqVWh82UGsj70j5JivPRNot0mm6WT2U1/trLVv/RjfltNO3XyLVYV0EEEAAAQTk1Hgi0j7dx5ysfXu4vJOVn68+8f7tKOOJrHM0/roC/wxw6Yh2zR6r8XPLVWO9HmZTrbatWajrJz2n3pOGBJ6pknOm+pzujUCdeFt7/hA8y/6EDu8yDvLd97Zf+8Trv9cfIgxbFa4/+LdgeRItbTr2oY7SfyzNwFMEnBJon59gTdVatnCLjhr33bpg0Gm2y571/fP1A/8lo1w6WrlYy6pDXAuqaa8qZgzx3EmvH3e7su3MCg4LuN7Uk9sOhjgaZARkqx/SqqomZeeX6lcLC9V6CXFLGT49Ln/8yvW+Dn3wD8vC4KfGqWaFs/Ur32lmRt4r5zwe4lx/8+jWRm0w7kSZPWiONiwd3jbv7G+rd1/vB87YzoaK33sCvs0NL2rRuFna5i+Ug3n6Tx8w6hVtoOGr+ifGaYRtBjfva/PCu0JfZLz5qOoPfW6snRNHINyXKX8RQAABBBBoZ4FExhO2xhJmvRzct8c0nnAwP7P4KR1PmIGYOzWmj3lX7766aEa5apvaDFTMUkZ/OFaPLsqbfreWjLDelOUzvVO5RMVDz269+/iAcZqz7GkdG/pj3XhJ0G+1rLM1fGSut8wHtO6Oe1rvKGwGrpb/RLduPksL7hjaOpv/yCOaecMvtWLGOM2vbmpZN6b+4M3GVr91sA855s54NHonJ0VnFUhyAMr4Iq4u1/yps7X5qDlf822tv/uhwIh7VPlG1T66Ua8FnHVnfKhLizW/sjZgJpRrX6Xuqzri2aJ5t6tbVr9hzDDhgUCKBE77mv66osg4yrSpdQDS3KCalaW6avpGNebP1BMbblVBqAuAG+l2r3pMr/k7cIOeWf28Dkccxxinmc0r18ZFwz0zoVz77tHUG5ZrW22jF8D4LFX+zDi69Zg0dqk2rpuuvJCzEc/Q0JEDvEfLjEHK6mtU0CtXfYcuVeOUmRptnZZtHCNLPM9G7a3c0XI6ollSS9AroOWa6/Xcptfl/yo48rzKtoeYRm5cZHzOiKs1v7ym1csYIG1eME8r931dhYsqdM/4bwVsmhcIIIAAAgikrUC844m4xhKmghP7dvHQmUIAAEAASURBVHM7sY4nnMovxeMJ1xta85+P6h3P2M04YF61RJOnrwtxMNC0ifRwuB5ZeRq3eoPKrsm3zIQKzt+YkT/ibj2xuki92owNjbNRimZoeI+WWVCeOwr7glcDrtOGv43R/cZ6uW3WO0ndrvyZ5hf6DrPG2B/i6rdO9CGH3RmPBncyXiPgEfiK23gkx+KAKkaN1tI6/8/FwGy6FKnineUa6junOHCp8cqlw+VTNGzxnjZLAt/ooYnrdmiZ+eVmzoCafauWGkGo7Pzr9dAD83RZrn/qVOBqGfoqzwgEmI/6ww0ZWoOOXWxX9TwNmF7ZEiTJX6iXH+itmtX3a2VlnT8Ymp1fpFnXTdLV4we2nX0US7+P+tkxJhE11GjDSzv1zKpK70DIdO+pwpum6ooR4zRuYLTbAJjBqlW6c9FGY31jUDJshmbPLI64nv08o33Gu6j/ome0veSbqpl7hYorj4bpPN7vgNyndWNlvh6+rZtefWy3Dux/Xvf53U9R/6JSTZ08KWIdwmTA2wggkGEC7CszrMEobhuBxMYT0favRnYxjCXMQtnftwdXxd54Ir78otW3vcYTRgBjeYmmrK6VKztfY0dJz289oelPP625A2O5/q3D9fAHfnxtYk4M2KKXdm62jI/MMd40FU+ZpKmFua0zmHyrWP6abbPeMqY1x7O33XqjpnnX8/TZ0v0aOXuifvjDCRoa8jdYpP4Qrf5GYWLot/b7ULR826v/WLB5ikAGCMQ71kpiACoD1DKwiPE2dAZWNSOLHDxgrHq2RL0ysiYUGgEEEMhcAfaVmdt2lLxFgPFEB+gJDeUaM3Sd+vkOlHeAKlEFBBBAwCcQ71gryafg+YrHXwQQQAABBBBAAAEEEECgcwg0NxnXqtSp6tb1q52jwtQSAQQQiEGAAFQMSCRBAAEEEEAAAQQQQAABBGITOKZXN+7QR4MmaHx+LKffxbZVUiGAAAKZLnBSpleA8iOAAAIIIIAAAggggAAC6SFgXGtp6126/en/q9t2Xhvmhi/pUVJKgQACCLS3ADOg2luc/BBAAAEEEEAAAQQQQKDjCXjudjxTU+75h6ZVPqTivI51M6SO12DUCAEE2luAGVDtLU5+CCCAAAIIIIAAAggg0LEEXDVaNGWnzrj6Zr3wZqg7HXes6lIbBBBAIB4BZkDFo8Y6CIQSaHpD992/Qyd8y+o2aHH5XjX5XvMXAQQQQAABBBCIJsB4IppQei7PHqrFlctVOp7gU3o2EKVCAIF0EPiK23ikQ0EoQ2wC8d7uMLatkyouAc9tdpfonQgrdylap7dXDFV2hDQsQgABBBBwRoB9pTOObKWdBRhPtDM42SGAAAIIxCsQ71iLAFS84ilaL96GTlFxyRYBBBBAAIF2F2Bf2e7kZIgAAggggAACnUgg3rEWp+B1ok5CVRFAAAEEEEAAAQQQQAABBBBAAIFUCBCASoU6eSKAAAIIIIAAAggggAACCCCAAAKdSIAAVCdqbKqKAAIIIIAAAggggAACCCCAAAIIpEKAAFQq1MkTAQQQQAABBBBAAAEEEEAAAQQQ6EQCBKA6UWNTVQQQQAABBBBAAAEEEEAAAQQQQCAVAgSgUqFOnggggAACCCCAAAIIIIAAAggggEAnEiAA1Ykam6oigAACCCCAAAIIIIAAAggggAACqRAgAJUKdfJEAAEEEEAAAQQQQAABBBBAAAEEOpEAAahO1NhUFQEEEEAAAQQQQAABBBBAAAEEEEiFAAGoVKiTJwIIIIAAAggggAACCCCAAAIIINCJBAhAdaLGpqoIIIAAAggggAACCCCAAAIIIIBAKgQIQKVCnTwRQAABBBBAAAEEEEAAAQQQQACBTiRAAKoTNTZVRQABBBBAAAEEEEAAAQQQQAABBFIhQAAqFerkiQACCCCAAAIIIIAAAggggAACCHQiAQJQnaixqSoCCCCAAAIIIIAAAggggAACCCCQCgECUKlQJ08EEEAAAQQQQAABBBBAAAEEEECgEwkQgOpEjU1VEUAAAQQQQAABBBBAAAEEEEAAgVQIEIBKhTp5IoAAAggggAACCCCAAAIIIIAAAp1IgABUJ2psqooAAggggAACCCCAAAIIIIAAAgikQoAAVCrUyRMBBBBAAAEEEEAAAQQQQAABBBDoRAIEoDpRY1NVBBBAAAEEEEAAAQQQQAABBBBAIBUCJ6UiU/JMXCCvV27iG2ELCCCAAAIIdGAB9pUduHGpGgIIIIAAAghknAAzoDKuySgwAggggAACCCCAAAIIIIAAAgggkFkCzIDKrPbyl7b+cIP/OU8QQAABBBBAoFXAN/OJfWWrCc8QQAABBBBAAAGnBHxjLbvbYwaUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBXgACUXTHSI4AAAggggAACCCCAAAIIIIAAAgjYEiAAZYuLxAgggAACCCCAAAIIIIAAAggggAACdgUIQNkVIz0CCCCAAAIIIIAAAggggAACCCCAgC0BAlC2uEiMAAIIIIAAAggggAACCCCAAAIIIGBX4CS7K9hJ76qepwHTK3XCzkpm2h7DVDrjAnXrdq4mjB+oHLvrkx4BBBBAAAEEEEAAAQQQQAABBBBAIG0EkjoDKrtwuf54uEH19dUquyZf2ZZqZ+dfr7Kad1VvLvf/e0tbVi1U6Tl/UtniJVo6e5wK+ozW/MpaNVnW5SkCCCCAAAIIIIAAAggggAACCCCAQOYIJDUA5WfIytVld96qMV387yir38W6JNfyhmdRdw0cX6K5j+xSVfn16m9GrFx12jz3Ol2//A2CUK18PEOgHQS+UO19D6vG1Q5ZkQUCCCCAAAIIdCIBxhidqLGpKgIIIOAXaJ8AlJld9rfVu29wwMlfjqAnXdRr+Dzdv+xH6uFZ8pneWV2q4vL9ag5KyUsEEEiSQONO/XrdB0naOJtFAAEEEEAAgU4rwBij0zY9FUcAgc4t0H4BKNvORhBqzM2aNugU75qfqfaxZ1RHBMq2JCsgYF/ghOq3bdZrzH6yT8caCCCAAAIIIBBBgDFGBBwWIYAAAh1aII0DUIZ71hkquOD/tjbAkWrtqvui9TXPEEAgKQLN9Y9r3oo3RfwpKbxsFAEEEEAAgU4rwBij0zY9FUcAAQSU3gEo47LlXbt93dJMn+qT4/+0vOYpAgg4LtD0hlbNelC1RJ8cp2WDCCCAAAIIdGoBxhiduvmpPAIIIJDmASgaCAEE2lOgueFFLZpaqrK6z9ozW/JCAAEEEEAAgQ4uwBijgzcw1UMAAQRiEEjzANTnajj4oaUap6pb169aXvMUgXQTaFTt1nKtmDFEeaPKddhTvBM6XL2h5b1eucoz/vUbNU9lW2uj3NnRXO+/VDZ3tPr1m+e9G52x/cqFGtPH3E6+xix8UYdDXRetqVbbyh/U/FH5nvzMPD3p5z6oipD5Gtstv0EXD71Zm6zBpxOVKvbk1VLu1jqFcLedp3UboepqLG9uUM26pSoZ3NdbjyEqWbkrdJ19mzPXKZ/nNfLV+2Ftq200trdXK25Y720X3wr8RQABBBBAIB0FHNw3eqrXrKba7apYY91HGvvJPqM1f81/qabhRCuCq0bz+3n3/d6xi2cs4R/b+JIeUMWosy1jjZZ1zplbYzmNP54xRqi6J2sM5KuL72+ovI1ljEl8QPxFAAEE4hdwt9vjT+7ykf3c3z2zl+ff9+ZUu/8ZLe+Pt7qLe7ekN9c7a+xa96Evo63UsZf7/Dp2LTOtdl+6j+972l2+bIb7Qm//9rTTyLXuhi/fc+9aMMp9lvV9//M+7gtLnjLSBNX3+D731tVz3aMtff+7Z811V//9kHtryb/7P0MtfWGAu3jLny0b+Lu74eVfGOsa255+r7v6vb97l33s3vfUAv82zxr5C/cu/zLL6ubTf1a7553l/dyZ+Ub9oCaQZ7i6Gnl++d5T7tIL+gTV1yyXUbc5L7uPBxXb8/L46+7lI/u7A+tnlK/qXnexb1tmu4Ral/cQQKDDCLCv7DBN2Tkr4vS+0aP4sfutZWPd3xs5111e9Z67ZegRtH/sPcq98GXfMi/9l0Fjj3D7UO/+1/fZCzvOjzbGCFf39hgDhcubMUnn/BxSawQQiCjg+76PmCjEwvSdAdVcr20L7lO17zo02YN12z3XKi8r/mAbayKQFAHXq1o2eZaWrq7S0YAMPtaelfP0y48u1eqad1V/uEH1b2/TsqJ84+pm5sOloy/frikLdllmQv1F22b/TDs++TJgS9IXOvDIUj2Zt0J7D7+lLSsmq7+5kR7/risGdfOmNY7YbZ2jKSWPan//OdqwdpaG5nbxLuuugUW/1KObZnrWc9U9qtLJc7TNerTTm9Len0TyNOv6E204GHxjgS91/K1VGn/ty/runKeM+hpuh99VVfn1LXU23SpXam1t8HrHVLNkgcreHawl62/XZf66G3fULJylNU/M0cAWeHtVJDUCCCCAAALtJuD0vtEsuLF/nDteU357kTZsWKLiwly1DKe9+8eNd2t4D2MH6arTppJpWlR9rLW2WXkat2Cq+re+E/pZzvmacd1g7/gmdJLo76ZyDOS0O2OS6O1NCgQQ6JQCIYJSSXorcAbUWdO3uj8OlZN59GHtr9zzjFkMvqjady8ocZfvC5k61BY69Hs+kw5dyYyt3N/dh9ZOssx26u8evez1EDN1Wo5C+mdF9Z7kLj/km6nUWvkv9y1zXxxttlRrcveXh9a6x3tmTY1wL9/3uWWJ9WlgGUPOKox2dNKyOafyDKyrMdtx5Er3W8eDp4Z97t63bIT3e6GP++Jlb3mP4HoL5JsxGXbWlnf9cEdvLfXiKQIIZLYA+8rMbj9K3yLgyL7R2FMer1pgzNC+xD2v6n/D0Fr3r8ZM44uWufdZd8HvrXWP9o1HIuxD/1k11/09b7q4Z0B5SxhY9zAzxi21cWo8Ym4yMG/GJBZmniKAAAJ+gXjHWimbAeWqmq3zreeU+54PGKc5i+/VZt91aHreqC2/Xavigd07ZYCQSmeSQBedkXeG96iiUe6eU3THbT9QTpsqdFfBbYs0vad3Oo5rrx7f8kcFX8op64w+6uubsZNdoGnzRqlX2BmAf9EzS37dcue6noUann9ym1xb3uiivHETNcSX9b5fa9n2v4RJG+1t5/LMyummrr7ssocbM5huVUFOcGVP1vfPG6CWOV0ufXTgfcvMMWPlTxt1zJwxeeJ3euk1y9Fb33Z1sgYWl6rwJP8bPEEAAQQQQCBtBRzZNza/rbU/36KjXS7QD4ecFqauQXedPrJXez/wnYIQZpUkv53KMZAj7oxJktxD2DwCCGSqQMoCUF2K1mm/59Qa8/SaoH/11ar4+XyVDuspHVmjCXnGxZbnlgdeHDFTxSl35xHoZgRVgmMovtpnna3hI3O9r1w68txu1QVHoE7tqu6+9bPOUN4ZvtPpfBtp/dtc+7geqGryvNHlwvP1fd96rUlan3UfrCsu9oXFmvTai2/KuDy37YejefbsrX6+6mV1VddTI1WgpaiuY40KuFffqd11miew9r42lxZr0a6GNkE95ZypPt8gAmW7sVkBAQQQQKD9BRzYNzbX7dYLR4xgUvBNRXwHfj1/+2rY4j2W+n2oQw2fW16n4Gkqx0AOuIsxSQo6DVkigEAmCKQsABURJytXQ6eXau4j21V500DjfPLP9E6lcc76iGmqqLfcoSPiRliIQDoLnKz8EYUyQqwtj48/UdO/fC/s/nXpw7f26kjMq52uS648z3+dBterO/VKY3D0K9rGUpFnlDLlfE8X9D+lJZHnOhaFOse422BFtSUQlVWguWunqVeUTbEYAQQQQACBzBew7Ku7FKniYNAB3+ADwP7Xb2hZoe9AVborWOoYU1GdGAPFkBFjkhiQSIIAAp1RID0DUP6WME5VKr1JY8wLI5oP15taOuUu1TTZ/bHcsjr/I5BOAgHTy08Yg0LzCGVcj8/VcPBDG2tm6dSuXVtPFXQ16ZNP7Ua/UpFnlCpm9dO0Vbe3XEjVm9RVV6ml0wvVd3CxVmytDTxlL8rmWIwAAggggEBmC7h0/JO/ZXYVopY+DccjZpkZk0RtORIggEDnFEjzAJTRKDnn6YcXW67/dHSHnqz6qHO2FrXuWALW6eUJ1ex/Vb+/5fS7WDeTndtbfWJNHDJdKvIMWZCAN7Nyi7Rm51OWOw16Fx+tUtnscRo86k7tTvjOfwFZ8gIBBBBAAIE0Ffinmho/bSlbQge60rR6nmKl53jELBpjknTuN5QNAQRSJZD+ASh9Tbl9vmPxadLrv/uTcSN2Hgh0IIEuucrzXZTcdrW+qbx+rVPlmxuPyzvcjG1L2Tnqdqrdr4JU5BlbdZQzUBNXbNObT69quY6cZTVX3aMqnTxH2whCWVR4igACCCDQ8QUO6nf7Qt2gI9NrnsbjEZOWMUmmdzDKjwACDgvY/dXpcPZsDgEEPAJ9eyvXe6apfZGvKqf7qf7VXH86qA/snKV6ep5y29xxzr+5ME9SkWeYooR8O8sY840zriP3G+19eqkm5nuvDWWmPfq8Ft79YlwXXg+ZFW8igAACCCCQlgLWg7jGTUeeeEH1MYwPmms3aX3tF2lZo7aFSvfxiFlixiRt2413EECgswpkYAAqW98wfmxnYME7ax+j3uEEjhzSfs819bPV86JBss7zC7dK6PeDLmh+pFq76iIPHJubPtFxz8aMvEdepvzoN50LyjoVeQYVIfhlw3rduHxv0J3vzEHfJC17tsZ7Q4OWlVy//Z3qmEYZLMhrBBBAAIEOJZCt75xb4L/hiWvfg5q3bn/QfjK4wsf06uY/6etn/FvwgjR9nYbjEVOKMUma9heKhQACqRbIgDjOMe1786DFKVdXjTi79QLKliU8RSBzBJrVuG+P9psFzi7QtRPOSahPZ+Vfpqv8p/A16IWX340wwGxW03v18lxJLYG8U5Fn5Pb9Ukef2626kEd3jRsa3LZEtw2yzISKvDGWIoAAAgggkPECgfvqz1S7uEQ3b60PM0Ywxgd7N+jhj/vrku6WI1OndtdpvlnaBw6pIeQBnGZ9evx4mO0mlzGwju0zBopeI8Yk0Y1IgQACnVEgzQNQxo6w+iGtqmq9wHL2oAkan39yZ2wr6pxpAu/u0b7GkNEQoyYf6ZUX9xjXMstWj7HTNSGvS+TaNR/X8U/DbctYNWuAbrhrgnp4tuLSkYqVWl/vmV4VYrs28o6Ub7LyDFHimN86skNPvRLmGhdZPZTX+2stm/pGN+Wk+bdfzHUmIQIIIIAAAuEEss7R+OsKjNGG73FEu2aP1fi55aqxXg+xqVbb1izU9ZOeU+9JQ2S5/Y9xHaMz1ed07xZOvK09fwieZX1Ch3cZB3nue9uXiU68/nv9IcKwxZMw0hjDvyXjSbR06TgeMcvPmMTaijxHAAEEPALt9xPM9WcdOhDuB3Go1jCPwtyv60s36qhvcY/JWr1uuvIsB2U8i5r2qmLGEOX1ylU/7nLl0+JvqgVcb+rJbQdDHA1sDaxm55fqVwsL1XoJcUuhPz0uf/zK9b4OffAPy8Lgp8apZoWz9aubBrYMMo28V855PMS1HszP1UZteLVJ2YPmaMPS4W3zzv62evf1BsSM7Wyo+L3MEHBzw4taNG6WtvkL5WCe/tMRzYyiBNt8Vf/EOI2wzeD2fW1eeFfoi4w3H1X9oc+NtXNUOOtaDQz+HvFtl78IIIAAAgikg4Aj+8Yuypt+t5aM6Gmp0Wd6p3KJioee7Rk7m+PnvAHjNGfZ0zo29Me68ZLTLGmNp1lna/jIXO97B7Tujnta7yhrBq6W/0S3bj5LC+4Y2jqb+8gjmnnDL7VixjjNr249kKxYxxipGgOZtXTE3dwQYxJTgQcCCCBgFWifAFRzg3bfcb+2W+JPzft3at3WWs8PW2uBZFwauHbrepXNNW6ZPv4hveOZ5mvMEhm2UFt2/lJDQ1ws2bWvUvdVHfFsxrzL1S2r3+AueYGovEqFwGlf019XFBlHGTeptskbKTE+CzUrS3XV9I1qzJ+pJzbcqoIQfdqI9mj3qsf0mn+ae4OeWf28DrcJuFgrZpxmNq9cGxcN98yEcu27R1NvWK5ttY3eRMZnq/JnxtHNx6SxS7UxVDDXk/IMDR05wHu01Bikrr5GBcbgtO/QpWqcMlOjrdPyjWOkiefZqL2VO1pORzTztwS9vAVv+dNcr+c2vS7/18iR51W2PcRpBMZFxueMuFrzy2tavYwB8uYF87Ry39dVuKhC94z/VsCmeYEAAggggEB6CTi4b8zK07jVG1R2Tb5lJlRwbY2x9oi79cTqIvVqc4DGuM5S0QwN79EyC8pzR1lf8GrAddrwtzG631gvt816J6nblT/T/ELrYbYYxhgpHQM56G4SMyYJ7mi8RgCBTi7wFbfxSJaBq3qeBkyvbP3BaCujU9S/qEQ/6tNVeZdN0NDcCKcomTOgZt+qpUYQKjv/ej30wDxdFim9rXKkV2LzKJX5qD/ckF4FozQegYA+n79QLz/QWzWr79fKyjp/UDQ7v0izrpukq8cPbDv7yEh1uHyKhi3eE160S5Eq3lmuoa3z6dukbW6o0YaXduqZVZXeIK6ZpKcKb5qqK0aM07iBAZPr26zvCQRXrtKdizYa65sB4BmaPbM44nr284xW1y7qv+gZbS/5pmrmXqHiSv9cyKDy9tDEdTu0LPdp3ViZr4dv66ZXH9utA/uf131+d/P7pFRTJ0+KWIegDfMSAQQyVIB9ZYY2HMU2BBzeNwYEf4xT5aq36KWdmy37R3MfP03FUyZpamFu6wymEG1h7ufXW8Y05njmtltv1DTvep4xUOl+jZw9UT/8YaSxu3lALNQY49QUjoEcdmdMEqIH8RYCCHQkgXjHWkkNQHUk4HSpS7wNnS7l7+jlCA5AVT1bol4dvdLUDwEEEEgzAfaVadYgFAcBBBBAAAEEOpRAvGOt9jkFr0NRUxkEEEAAAQQQQAABBBBAAAEEEEAAATsCBKDsaJEWAQQQQAABBBBAAAEEEEAAAQQQQMC2AAEo22SsgAACCCCAAAIIIIAAAggggAACCCBgR4AAlB0t0iKAAAIIIIAAAggggAACCCCAAAII2BYgAGWbjBUQQAABBBBAAAEEEEAAAQQQQAABBOwIEICyo0VaBCIJNL2h++7foRO+NHUbtLh8r5p8r/mLAAIIIIAAAggggAACCCCAQCcVIADVSRueajso0FCuMb1ylTfgGpXVfWbZ8BFVL56gAmPZOXNr5LIs4SkCCCCAAAIIIIAAAggggAACnUngpM5UWeqKQFIEcku0/XBJUjbNRhFAAAEEEEAAAQQQQAABBBDoCALMgOoIrUgdEEAAAQQQQAABBBBAAAEEEEAAgTQWIACVxo1D0RBAAAEEEEAAAQQQQAABBBBAAIGOIEAAqiO0InVAAAEEEEAAAQQQQAABBBBAAAEE0liAAFQaNw5FQwABBBBAAAEEEEAAAQQQQAABBDqCAAGojtCK1AEBBBBAAAEEEEAAAQQQQAABBBBIYwECUGncOBQNAQQQQAABBBBAAAEEEEAAAQQQ6AgCBKA6QitSBwQQQAABBBBAAAEEEEAAAQQQQCCNBQhApXHjUDQEEEAAAQQQQAABBBBAAAEEEECgIwgQgOoIrUgdEEAAAQQQQAABBBBAAAEEEEAAgTQWIACVxo1D0RBAAAEEEEAAAQQQQAABBBBAAIGOIEAAqiO0InVAAAEEEEAAAQQQQAABBBBAAAEE0liAAFQaNw5FQwABBBBAAAEEEEAAAQQQQAABBDqCAAGojtCK1AEBBBBAAAEEEEAAAQQQQAABBBBIYwECUGncOBQNAQQQQAABBBBAAAEEEEAAAQQQ6AgCBKA6QitSBwQQQAABBBBAAAEEEEAAAQQQQCCNBQhApXHjUDQEEEAAAQQQQAABBBBAAAEEEECgIwj8/+3dDXRU1bn/8V9XTC/LrtIAtfK/pZgYQNSSRci1Uq1agthrW5AXQZDlCyEx9uptZUESAb3WNwgIvitCEBVrkQgBqwXKS1J1VbFA4or3LigSEy31YjEkV5dKHdL5nzOZmZyZTDJzksnMmZlv1sLMyz577+ezz8zZedznHBJQyTCKxIAAAggggAACCCCAAAIIIIAAAgg4WIAElIMHh64hgAACCCCAAAIIIIAAAggggAACySBAAioZRpEYEEAAAQQQQAABBBBAAAEEEEAAAQcLkIBy8ODQNQQQQAABBBBAAAEEEEAAAQQQQCAZBEhAJcMoEgMCCCCAAAIIIIAAAggggAACCCDgYIHTHNw3utaNQHZmVjfv8hYCCCCAAAIIcKxkH0AAAQQQQAABBJwjwAoo54wFPUEAAQQQQAABBBBAAAEEEEAAAQSSUoAVUAk6rA1NjQnac7qNAAIIIIBA3wr4Vj5xrOxbZ2pHAAEEEEAAgdQU8M217EbPCii7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK4ACSi7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK4ACSi7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK4ACSi7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK4ACSi7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK4ACSi7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK4ACSi7YpRHAAEEEEAAAQQQQAABBBBAAAEEELAlQALKFheFEUAAAQQQQAABBBBAAAEEEEAAAQTsCpCAsitGeQQQQAABBBBAAAEEEEAAAQQQQAABWwIkoGxxURgBBBBAAAEEEEAAAQQQQAABBBBAwK7AaXY3iG75NrXWvaJN+w/q7aefUfUxV2D1g8ereO6FGpg2TJffME6ZalDVLx7WiYUPqjArPbAszxBAAAEEEEAAAQQQQAABBBBAAAEEHCkQpwTUSTVVr9L9i1YZSSdp8Pg5mnPTai02k0xpPqdm1W3+nf789latqKzX0nt8rw/W9JmfS1kZvhf4jQACCCCAAAIIIIAAAggggAACCCDgYIHYn4LXekBr507Q+IJHVa0fa+GWt/SnpxeqsMCafDLFBil32hwVL6/S3i2LlD+YFU8O3o/oWlIKfKG6h55QTdDCxKQMlaAQQAABBBBAoA8FmFP0IS5VI4AAAgkjENsEVOtbWn79HC3dc1RKH6uFLzyqwtxBYbDSlJFbpKc23KcJniRUqw41/D3MNryNAAK9FmjeoSfXfdjraqgAAQQQQAABBFJcgDlFiu8AhI8AAgi0C8QuAdV2SGsLirW6/jOj5bM0fbWRfMruF/E4pGVNU/mSqzU44i0oiAACPRc4qYaql/QGq596TsiWCCCAAAIIIGAIMKdgN0AAAQQQaBeIUQLKOPCsu1sras3kk7H4acxsFV12RnsPIv6vsRIq/1bNH/9NtZz4TG0Rb0dBBBCwK9DW8LzKlu8V+Se7cpRHAAEEEEAAAasAcwqrBo8RQACB1BaISQIq8MCToUtm/0zZ/ouN2xmAM5U/+3KlNX+qf9rZjLIIIBC5gHGq7Mp5j6mO7FPkZpREAAEEEEAAgc4CzCk6m/AKAgggkMICMUhAfaH6TZs6/phNv0BX/vjMHpIbq6Aum6ZJ3+lR9qqHbbIZAqkj0Na4TYuv950qmzpxEykCCCCAAAIIRFeAOUV0PakNAQQQSAaBvk9AtR3UrlcaO6zOvUBjBvUigZSWp9sWXCruiddByiMnCTSrbnOFls+9RNmTKtTk6dpJNVWvb38tM0vZxr+Rk8q0enOdWrvturndb7S69CqNHFnmvRudUX/lIk0ebtaTo8mLtqkp1PmorXWqqnhMt0/K8bRntukpX/qY1oZs16i34iZdOu4Wvei5Tpu3YycrVehpq73fHTGF6LjtNq11hIrVeL+tUTXrlqpo7AhvHJeoaMWu0DH7qjO3qSjzGvnifkJVdc1GfQe0/KZnvOPi24DfCCCAAAIIOFEgWnOKUMfYvppPmI69nFM4ZT5hhsKcwlTgBwEEEIiegLuPf07VlrsvPSvTfbb333kl1e6v+rjNZK7e55jMMSZebKfcLbVb3BXlc90XWfb1syeucTeeet+9a+Ek9znW1/2Ph7svKtpolAmKuKXWvXlVqfuqYR2fm7PPKXVXf3nEvbnoR/7PUvu+MNpduOlvlgq+dDfu/LWxrVF3wYPu6ve/9L73ibt240J/nedM/LV7l/89y+bmw6+q3WXneNs22w37ge1Fm13FarR56v2N7uILhwfFa/bLiK1kp7slqNuepy1vupdNHOUOjM/o354H3YW+usxxCbUtryGAQNIIcKxMmqFMwUCiOKfo6hgbq/mEOXq25hQOmk+YfWdOYSrwgwACCIQU6Olcq49XQLn01/0HdNSfL+un4cO/y+olvwcPkkLA9brKZ83T0lV7dCwgoE+0b0WZ7v34x1pVc1ANTY1qeKdK5TNyvJ8Bl47tvEOzF+6yrIT6SFXz79T2E6cCapK+0OGnl+q32ct1oGm/Ni2fpVHmMsDBP9KVYwZ6yxr/h3NziWYXPatDo0q0fs08jcvy3WlykHJn3KtnX7zVs52r/lkVzypRVePJoHbsPu1Nm2asv9T6974IavSUWvav1LTrdursko1GvIZb00HtqbixPWbj0ujHKldoTV3wdsdVs2ShVh8cqyXP3KHL/bH3U2b+PD31QolyWToZZM1TBBBAAAFHCURtTsF8QurpfMLcI5hTOOpzQWcQQCB5BEKms6L2You7umSsZQXDSPdVa/4StdpTsaKeZhpT0Sr2MX/pPrJmpmW10yj3VeVvhlip84l7f/mUjnLDZrorjvhWKnX0OnD1YBerpTqKu08dWeOe5lk1dYV7We3nlnesDwP7eM6UNe4jwSuwbPzfymi1GRhrprGCaYV7f0twxz5315Zf4f0+Ge6+tHy/O6DEJ5vdhWb8Xa7a8m7PCijrDsFjBJJSgGNlUg5rigUVeLw++6yezykCj7ExnE+YIxbhnMJR8wmz38wpTAV+EEAAgS4FejrX6uMVUMmTqCMSBMIL9NPQ7KHyX+FsyGzdteCHyui04SDlLVisgiHe5TiuA3p+0/8o+FJOaUOHa4RvxU56nuaUTVKmv/LgSj/Sy0uebL/Y/5B8Tcg5PbiA93k/ZU+drkt8Tdc+qfKtH3VRNtzL0WszLWOgBviaS59grGC6TXkZwcGeru9fMFrta7pc+vjwB5aVY8bGnzbruHnnvpNv6w9vHPfVZvl9unILi5V/muUlHiKAAAIIIOBIgejNKZhP2JxPmPsDcwpHfiroFAIIJL4ACajEH0MicKrAQCOpEjzn8fU17VxNmJjlfebS0Vd2qz44A9V/gPzX608bquyhvtPpfJV0/G6re16P7Gm/pHm/i36g73fVrrnJoLG68lJfWqxVb2zba1wu1P5PVNscMkwjfeGlDdCA/t0F0N5X1/FmfWbtdv9BOsOTWPtALxUXavGuxk5JPWWcpeHfJgNlZeMxAggggEACCPRmTsF8otsB7jSfMEszp+jWjDcRQACBngr0cQLq68oY1N/Stza1nPis8x+FlhI8RCA1BE5XzhX5GuIL9pMTav2n74nd38HXWgu3/Zm67KcX+K/F5np9h15rDs5+hasjHm2G6VPGebpw1DfbC7nq9WJRvs437ja4ttqSiDLuolm6Zo4yw1TF2wgggAACCCSOQLTmFPE4tsejzQhGljlFBEgUQQABBOwL9HEC6l80dNhZ/j90ZVw8uNNpM/b7zBYIJIVAwJL4k8aFto+a54/15OdzNb73Vxsbpqn/gAEdpwq6WnXiU7vZr3i0GSbEtJGas/IOTRjsO2/R+Mapr9TSgnyNGFuo5ZvrAk/ZC1MdbyOAAAIIIJAoAtGZU8Tj2B6PNiMYVeYUESBRBAEEELAv0McJqDRlnJ2tMy39cv3lPX1od7GFZXseIpA0AtYl8b0K6u9qONR++l2k1aRnDdPwSAuHLBePNkN2JODFtKwZemrHRsudBr1vH9uj1fOnauyku7W713f+C2iSJwgggAACCMRfICpzingc2+PRZmTDxZwiMidKIYAAAnYE+jgBJaXlXK6f+S62bPbsaLV21QffPt1OlymLQBIK9MtStvVzYivE7yh7pO+aTlJbc4s+tbN9eoYG9rf7VRCPNiMMKiNX05dXae+WlSoe7z/J0bOxq/5ZFc8qURVJqAgxKYYAAgggkHACPZ5TxOPYHo82bYwocwobWBRFAAEEwgvY/aszfI3BJdLO17Qb8iyn4R3Wusd39Oiix+1Vn1TDumV6puFkcEs8RyBxBUYMU1bHmWM24wi81prtVYZnZiur0x3nwnUhHm2G65P1fWP1Ze5UlT79Rx3YslTTc7zXhjKLHHtVi+7b1ovvIGs7PEYAAQQQQMBhAj2eU8Tj2B6PNu2OF3MKu2KURwABBLoS6PsElHHT9OyCBR23nDd64trzqB6oDnWb9K666Xu9Ta0HVqn8yBhNyfbdMsv3Hr8RSDCBo0d0yJNHTdeQi8foez3uftDFRyNYZdjWekItnvaMtiderpzwN50L6l082gzqQvDTxmd087IDQTc5MCeNM1X+uxpV/iLXnwh3/elt1ff0klvB7fIcAQQQQACBeAtEZU4Rj2N7PNqMYLCYU0SARBEEEEDAvkAMElBGp9JG66ZHijXKv8LDuE36ontsngZjJp8e1o2/Oq5rS/PVccKR/aDZAoH4C7SpuXafDpkdSc/TdVef33FR8B50LvBU10b9fufBoESMtVLjs/R+gz7uZdvxaNMaRefHp3Tsld2qD3mNuUHKW7BEC8ZYVkJ1roBXEEAAAQQQSECB6M0p4nFsj0eb4QeZOUV4I0oggAAC9gVik4Ay/rTOyLtFD5f/XIN9fTROgym54hrdXhnJnalOqmnXfbpx9n79/Ln/0jjbpwv5GuU3AjEUOLhPtc0hsyFGJz7Wa9v2GfeFTNfgKQW6OtyKvrYWtXzaVV1GdWaS956rvZ8vl46uXdHNaao22u6u3b5qszdDdHS7Nr7WxerKtMHKHvaN9tq/PVAZMfr26004bIsAAggggIBHIFpziu6O62ZDfXls76rtvmyzN7sPc4re6LEtAgggEFIghn+C9VPmtAf0QsWNHSuhXPV6qXSq8sxbpFf8RjXBFwZurVNVxWO6fdIPNP7Ov+nnGx5XYag/1FsPaO3cS5SdmaWR3OUq5EDzYhwEXHv126r3QqxEMlYgVT+ulXtalZ5TrEcXdbGi79MW+fNXrg905MN/dBOEkeTNn69HfaeZGW2vKHleDZ1yVuZKwg1a/7rR9pgSrV86ofNqwvTvatgI7ymuRj3r1/5Z5j322hq3afHUearydyqKbfpPHTAbCpNs8ymcME4j7BRfN6sr246p4cjnxtYZyp93nXJtn3boa5jfCCCAAAIIxFigN3OKeM0nTKKI5hROnE+YnWdOYSrwgwACCERTIIYJKLPbRhJqwl3avHONbrHencq8Rfr9d6pw3LmeJJKZSPL8Gz1VJfc/pjfO+E9t2rFKhbmDQsbuqq3UQ3uOet4z73L1q1VvGStL+EEgzgJnfEP/u3yGppW+qLpWb6akrVE1K4r1s4INas65VS+sv015oVb0GeV2r3xOb/h35Ea9vOpVNXVKuFhjNE4zK6vQhsUTPCuhXLUP6PqblqmqrtlbqFl1lXfqxpnPSVOWasO6AmWHTMIM1biJo73XS/pM7666VnnGZ3LEuKVqnn2rrhpk3SgabTbrQOX29tMRzZ5akl7W6NTWoFdefFOey2aZbxx9Vau3NnRO8PlWV1bUdHgZyeyXFpZpRe23lL94rR6Y9q8BVfMEAQQQQAABRwv0dE4R1/mEKRrpnMKB8wmz+8wpTAV+EEAAgagJfM1t/EStNpsVtTXWaP3uwzq+9zda7U0g+asYPF7Fc3+sCy6/WuOywlxw3FwBNf82LTXqSM+5UY8/UqbLw23jbyixHpiJOfOnoakxsTqeIr11VZdpdEFle5IkZ5F2PjJMNase1orKen9SND1nhubdMFPXTMvtvPrIKNVUMVvj79/XtVi/GVr77jKN819TrXNRz2frDzv08spKvetPYg1R/i+u15VXTNXULpK5HTWZyaqVunvxBmN74zTB8XM1/9bCbrez32a4WPtp1OKXtbXoO6opvVKFlcc6uhfwaLCmr9uu8qwturkyR08sGKjXn9utw4de1UN+929q1IxiXT9rZrcxBFTLEwQQSFgBjpUJO3R03CLQuzlFuGOs0VBM5hNmQPbmFHGfT+QbV5o1L0LOnMKyN/IQAQQQCBTo6VwrrgmowBB4FolATwc6krop03uB4Mnint8VKbP31VIDAggggIANAY6VNrAo6lgB5hSOHRo6hgACCKS8QE/nWjE+BS/lxwkABBBAAAEEEEAAAQQQQAABBBBAIOUESECl3JATMAIIIIAAAggggAACCCCAAAIIIBBbARJQsfWmNQQQQAABBBBAAAEEEEAAAQQQQCDlBEhApdyQEzACCCCAAAIIIIAAAggggAACCCAQWwESULH1pjUEEEAAAQQQQAABBBBAAAEEEEAg5QRIQKXckBNwnwm0vqWHHt6uk74G6tfr/ooDavU95zcCCCCAAAIIIBCJAHOKSJQogwACCCCQYAJfcxs/CdbnlO5uT293mNJofR18Y4Umj1uid7tpp9+MdXpn+Tild1OGtxBAAAEEoiPAsTI6jtQSBwHmFHFAp0kEEEAAAbsCPZ1rkYCyKx3n8j0d6Dh3m+YRQAABBBCImQDHyphR0xACCCCAAAIIpKBAT+danIKXgjsLISOAAAIIIIAAAggggAACCCCAAAKxFCABFUtt2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" alt></div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<div class="column">A</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p> </p>
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<br><hr><br><div class="question">
<p>The graph shows the relationship between binding energy per nucleon and nucleon number. In which region are nuclei most stable?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>In the Geiger–Marsden experiment alpha particles were directed at a thin gold foil. Which of the following shows how the majority of the alpha particles behaved after reaching the foil?</p>
<p><img 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bWJDQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBCBf4RoT3n+4jgAACCCCAAAIIIIAAAggggAACCCCAAAIIIGALEDDnRkAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAwBIgYM5tgAACCCCAAAIIIIAAAggggAACCCCAAAIIIICAJUDAnNsAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAFLgIA5twECCCCAAAIIIIAAAggggAACCCCAAAIIIIAAApYAAXNuAwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEELAEC5twGCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAghYAgTMuQ0QQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEELAECJhzGyCAAAIIIIAAAggggAACCCCAAAIIIIAAAgggYAkQMOc2QAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAEiBgzm2AAAIIIIAAAggggAACCCCAAAIIIIAAAggggIAlQMCc2wABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAUuAgDm3AQIIIIAAAggggAACCCCAAAIIIIAAAggggAAClgABc24DBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQsAQLm3AYIIIAAAgj4ReCcjhS8pOcfvUO9u3ZTnP2ToPRHF2lj8Wm/1FBbSPluzU9LsOqwyp+5TUcqa4/Ue3FaxRuyNf/+/orrPUM7Kuod5i0CCCCAAAIIIIAAAo4WCNIcnPm3o+8SGo+ArwIXVVmbrxd5d36lygt+riETP9e0PYs1vEMb7y7jLAQQQAABBJwmUL5XS6ZN0/I2P9WqxaPUtY0VqM5+XA8+ladTdl+6aFDWi1o0Ik7++NuwomCGrp2Qo3N22dfr8R2rlNEtqlat8vAOrXzjdb2SlaP9riB521Fasv9pDTh/Wu35vEAAgdAVqPv/uw/tjB2oifd/X+3bX6eRIxLVzodLORUBBBBAAAFHCARxDl7372Pm3464P2gkAi0QCOAK8z+pYNVrOlWxR6s3HlKDi99a0HguRQABBBBAoNUFKku08dGHNXdnT02bO8IKlpsWdVBi5n9o5ax+qo5PH1PerBe00xW8bmGjo5LSNT7hEquUS9Tn7nt18xXuUfATeuWXWXrnzNctrIXLEUAgFASiUp/WB0cOq6SkQM/fnVDzZ0p1y6IS7tXzOz5SiTle+/Oe1mfN1MR//ljPPzVHc6cNV9/4O/RYTrHKQ6FDtAEBBBBAAAF/CAR5Ds782x+DRhkIOEcgYCvMK0uyNfqHc1RsggNdfqL1hTOU6I9ldc6xpaUIIIAAAmEvUKnTGx7QjdPyVJEwU/m5mepap8+ntffpTI1d/Il6P/C8XpxxQxBXebq1zbSJFeZ1RoY3CDhSoGKHHuszQeuqv15i/W+9TO/PH1AniH6+X9ZX1POe1sM/fbHmmybWB2xB/3PofGt4hQACCCCAgP8E3Oa5ITUHd2uX6Szzb/8NOSUhEGSBAK0w/0r71q+vDpabDh0rUN6+r4LcNapDAAEEEEAgwAKV72vps2/JfDYc9Z0O1nrv+lsH9Z2xUQeO7NPmoAbLTTvaqEPS9epdv0m8RwAB5wpEdVaPnm29bH9bdR00Q7+ed7ti7SvOav/iicrIPsA3P70U5DQEEEAAgRAVCNk5OPPvEL1jaBYCPgsEJmB++nX955KDbo05qGW/eV1+fuSZW/m8RAABBBBAoBUEPi3SO8eq86y06RCjS1uhCVSJAAIINCxgBc3TJ+m+JNfHeWdVvOIV7SNXYsNkHEEAAQQQCH0B5uChP0a0EAGHCwQgYG59BeWt17WrIlZ9EqrXsxijip2vq/A0s3OH3y80HwEEEEDATaDi8Cc65PaelwgggEDICbS5Qn2/3/F8s/jm53kLXiGAAAIIOFKAObgjh41GI+AoAf8HzGu+GqOkCZr/RLq6uDh4+KdLgt8IIIAAAggggAACCARJIEox7S9zq+sLnSn7P7f3vEQAAQQQQAABBBBAAAF3AT8HzCtVXrhBrxz7e/UfO0Q9+/5IDw1sV1MfXwF1h+c1AggggAACCCCAAAIIIIAAAggggAACCCCAQGgJ+Dlg/icVrHpNp7qM0U/TO1k9/SelDL5eUa4+H3tNaws/c73jNwIIIIAAAg4TqNCR7FGK69rN/uk9IUfnanpwLmeCetfst4/3nqEd1enNL+xjebE2Zi/UY2kJtWXFdU1Q+qMLtWRDscovvKLentMq3pCt+ff3V1xato7UO8pbBBBA4LzA/+rwoT+ef2s9baF9zN+5veclAggggAACoS7ghzk48+9QH2Tah0BICfg1YF5ZslWrd/6vugy9WQltTD+tJwQPvFPpsa6Q+VFtXrWLh3+G1C1AYxBAAAEEvBeIUtfMHJUcOWz/HFg2Sm1rLm47apkO1Oy3jx94WgNcf/3VVnBOR/JmK/360cra87Vufe7/1ZT1ntbPv13atEBzpw1Xv7TZ2n7YFYqvvViVh3do+W9nKD3+Oo2cNkfP5x87f5BXCCCAgCeB0wVavelU7ZGopJEakXBx7XteIIAAAgggEPoCLZmDM/8O/fGlhQiEnoAfA+Zfad/69SrWTXoo41orVF6ztbtRo4d1c73j4Z+1ErxAAAEEEIgsAWuyvmG6xma+qAN9pmvlC1M0oJsr3N5BiaN+oRfXPKg+VpC9Yt+LmnjXdG2sEzQ/qOUPPaV3Sv+kzxpauR5ZoPQWAQSaEqgs0cbHn1WB68+MqH565Fc/UlztRL2pAjiOAAIIIICAkwWYfzt59Gg7Aq0p4L+AefnbWrvpsKKSf6iUDu6z8IuVcEuq28M/39JzS95XZWv2mroRQAABBBAIskBlye/0yGOv6pR6asLPx3oIWLVRu76TlPVov+pUZqde1cxpv1NJ7V+YPZWRu13Z85cqN2vQ+XRnQe4H1SGAQOgIVJ4u0xeemuP62vmwYZr+Zs03UWIH6fGc3ygjzvVBnacL2YcAAggggED4CDD/Dp+xpCcIBFvATwHzSp3OX6fNp7ppwoM/VId6vWiT6P7wzwod27Jd+2oDAPVO5i0CCCCAAAJhJ3BCr8z5TxWbVZ5dUjWowXQIbRU3/E71r0nlUlH0n5q3+UQ9DSuw3j3OekoIGwIIRLpARf40fc/92Qmu19cO1/SnFmjdvrPVRF1+ovVvv6CMxPqz9EgXpP8IIIAAAuErwPw7fMeWniEQeAH/BMwr39fSZ9+SGsyJyMM/Az+U1IAAAgggEKoClcW/03P51Y/ybPuD7+ka9y9i1W90h366Lbldzd5y7dq254Jnf7Rp114x9a/jPQIIRJzABc9OcH+OQkmBlvzbY5o4sIt07LcaGWceLJytHXVSPUUcGR1GAAEEEIgQAebfETLQdBOBAAn4JWBeuW+7th77e/UfO8TDV8xNy3n4Z4DGj2IRQAABBEJeoEJ/fG+vvH88Z90PmSt2vq7C03wtK+SHmQYiEGoCbbppwISJenTpZuU8kGilcTqr/TlzlHHLfVpScuFDhUOt+bQHAQQQQACB5gsw/26+HVcigIAR8EPA3Pqay2/W6Fjsbbp7YCNfEOfhn9xxCCCAAAIRKfC/Onzojz70vI0ujYk5//DsinKd+eJvPlzPqQgggIC7QAf1nfiA0mNduZ72aO7Yf9eOcj6Ic1fiNQIIIIBAOAkw/w6n0aQvCLSGwDdbWmllyVat3ml9zbziZWVc+7L3xVVUP/zzjhl9zwcFvL+aMxFAAAEEEHCIwP+o5EB1OhZvGxzVrYfirZP3e3sB5yGAAAKNCbS7Xrcmd9C6nFPVZ516TavzH9SAEZ0au4pjCCCAAAIIOFSA+bdDB45mIxAyAi1cYf6V9q1fr2L10+P5H6nEPW+ix9dv61cDXXlZefhnyNwFNAQBBBBAIIAC/6i43q6/+6TK02X6wpfaotqp/aUt/Oval/o4FwEEwlDg79Ut/nK3fpXrnf/+WOY5xGwIIIAAAgiEnwDz7/AbU3qEQHAFWvYv8PK3tXbTYUUl36lhcW29aHndvKw69prWFn7mxXWcggACCCCAgFMF/k7tOlxa2/iKjw/pU18yIfxTnLq1a+wpobVF8wIBBBBAAAEEEEAAAQTE/JubAAEEWibQgoB5pU7nr9PmU9004cEfqoNX7eDhn14xcRICCCCAQBgJXKyEW1LVxdWjYwXK2/eV653H35XlZ1RmH4lSl6E3K4F4uUcndiKAQHMFovQP1gd5LfiHQHMr5joEEEAAAQSCIMD8OwjIVIFAWAs0f55ceUibVu1RRZdUDUq42HukCx7+uU6bSs55fz1nIoAAAggg4DCBNgk3a0iXmgfu6bC2vvmRGl5kXqny0hL9yfQxqq9+NPKfedaHw8ab5iIQegKfqWjPIbdmddOQW67izxY3EV4igAACCISXAPPv8BpPeoNAsAWaGTC3/jFfuFLLi9oodcqPlOjTyrd6n/RV7NXy53fJt8ehBZuJ+hBAAAEEEKgvUKkvyspqA9+N5iZvc61+/O8jFWsXYT3DY8kzWt7gh8V/UuG2d63cwlGKHTZBI71KeVa/bbxHAAEEXALWvL3gN8rKPz/bjkoaqRG+LHhxFcVvBBBAAAEEWl3Ayzk48+9WHykagICTBZoXMC8v0LyZ63VK8fp+0nd87n+ba76nG2pTnlfoVM5TmlfgIZd5+V4tub+/4rp2U++02dp+mJXoPmNzAQIIIIBAgAT+qk8/OVr70LzGc5O3UbvUafqPBxKtMLi1VezRM9N/p5ILlplbga29L2vlznJFJU3XyrmDdP5xoee7cT5li7Xv4Cc63MCT++qcd/5yXiGAgFMFKo7rk4O+zIfNnym/1r0TX7bm7TVb7F1avGyC4uoveGHe7RLiNwIIIIBASAt4Owdn/h3Sw0jjEAhxAR8D5ud0pCBbj42bpnWnzL/O39fyX/5GO3wKZJ9W8Ysva1eduf5RrZuYocdyiuusNK8oytGz+cdswop9L+qhx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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">Response B with many particles being significantly deflected was a common choice of candidates at both levels; A shows the clear majority of particles passing through the foil undeflected. </span></p>
</div>
</div>
</div>
</div>
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