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</div><h2>HL Paper 2</h2><div class="specification">
<p>Rhodium-106 (\(_{\,\,\,45}^{106}{\text{Rh}}\)) decays into palladium-106 (\(_{\,\,\,46}^{106}{\text{Pd}}\)) by beta minus (<em>β</em><sup>–</sup>) decay. The diagram shows some of the nuclear energy levels of rhodium-106 and palladium-106. The arrow represents the <em>β</em><sup>–</sup> decay.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-14_om_06.42.36.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/09.d"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Bohr modified the Rutherford model by introducing the condition <em>mvr </em>= <em>n</em>\(\frac{h}{{2\pi }}\). Outline the reason for this modification.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the speed <em>v </em>of an electron in the hydrogen atom is related to the radius <em>r </em>of the orbit by the expression</p>
<p>\[v = \sqrt {\frac{{k{e^2}}}{{{m_{\text{e}}}r}}} \]</p>
<p>where <em>k </em>is the Coulomb constant.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the answer in (b) and (c)(i), deduce that the radius <em>r </em>of the electron’s orbit in the ground state of hydrogen is given by the following expression.</p>
<p>\[r = \frac{{{h^2}}}{{4{\pi ^2}k{m_{\text{e}}}{e^2}}}\]</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the electron’s orbital radius in (c)(ii).</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what may be deduced about the energy of the electron in the <em>β</em><sup>–</sup> decay.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why the <em>β</em><sup>–</sup> decay is followed by the emission of a gamma ray photon.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the wavelength of the gamma ray photon in (d)(ii).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.iii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the oscillation of a mass. <strong>Part 2 </strong>is about the photoelectric effect.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Photoelectric effect</p>
<p class="p1">A student carries out a photoelectric experiment in which radiation is incident on a metal surface in a vacuum.</p>
</div>
<div class="specification">
<p class="p1">A graph of the results of the experiment show how the maximum kinetic energy \({E_{{\text{max}}}}\) of the emitted photoelectrons varies with the frequency \(f\) of the incident radiation.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-01_om_05.54.06.png" alt="N14/4/PHYSI/HP2/ENG/TZ0/09_Part2.e"></p>
<p class="p1">Use the graph to</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain why photoelectrons are not emitted from the metal surface unless the frequency of incident light exceeds a minimum value.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">identify the minimum value of the frequency \({f_0}\) for photoelectrons to be emitted.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">determine the Planck constant.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">calculate the work function, in eV, for the metal surface.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The student repeats the experiment with a different metal surface that has a smaller value</p>
<p class="p1">for the work function. On the graph in (e), draw a line to show how \({E_{\max }}\) varies with \(f\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the simple pendulum. <strong>Part 2 </strong>is about the de Broglie hypothesis.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> de Broglie hypothesis</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A beam of electrons is accelerated from rest through a potential difference of 85 V.</p>
<p class="p1">Show that the de Broglie wavelength associated with the electrons in the beam is 0.13 nm.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Electrons with the same kinetic energy as those in (b) are incident on a circular aperture of diameter 1.1 nm.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_15.33.39.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B1.Part2.c_1"></p>
<p class="p1">The electrons are detected beyond the aperture.</p>
<p class="p1">The graph shows the variation with angle \(\theta \) of the number <em>n </em>of electrons detected per second after diffraction by the aperture.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_15.35.49.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B1.Part2.c_2"></p>
<p class="p1">Use your answer to (b) opposite to explain how data from the graph support the de Broglie hypothesis.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An alpha particle with initial kinetic energy 32 MeV is directed head-on at a nucleus of gold-197 \(\left( {{}_{79}^{197}{\rm{Au}}} \right)\).</p>
<p>(i) Show that the distance of closest approach of the alpha particle from the centre of the nucleus is about 7×10<sup>−15</sup>m.</p>
<p>(ii) Estimate the density of a nucleus of \({}_{79}^{197}{\rm{Au}}\) using the answer to (a)(i) as an estimate of the nuclear radius.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The nucleus of \({}_{79}^{197}{\rm{Au}}\) is replaced by a nucleus of the isotope \({}_{79}^{195}{\rm{Au}}\). Suggest the change, if any, to your answers to (a)(i) and (a)(ii).</p>
<p>Distance of closest approach:</p>
<p>Estimate of nuclear density:</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An alpha particle is confined within a nucleus of gold. Using the uncertainty principle, estimate the kinetic energy, in MeV, of the alpha particle.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about electric cells. <strong>Part 2 </strong>is about atoms.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Electric cells</p>
</div>
<div class="specification">
<p class="p1">Cells used to power small electrical devices contain both conductors and insulators.</p>
<p class="p1">Cells also have the property of internal resistance.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Atoms</p>
</div>
<div class="specification">
<p>Photoelectric emission occurs when ultraviolet radiation is incident on the surface of mercury but not when visible light is incident on the metal. Photoelectric emission occurs when visible light of all wavelengths is incident on caesium.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Distinguish between an insulator and a conductor.</p>
<p class="p1">(ii) Outline what is meant by the internal resistance of a cell.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State what is meant by the photoelectric effect.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Suggest why the work function for caesium is smaller than that of mercury.</p>
<p class="p1">(ii) Ultraviolet radiation of wavelength 210 nm is incident on the surface of mercury. The work function for mercury is 4.5 eV. Determine the maximum kinetic energy of the photoelectrons emitted.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">An exact determination of the location of the electron in a hydrogen atom is not possible. Outline how this statement is consistent with the Schrödinger model of the hydrogen atom.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>The first scientists to identify alpha particles by a direct method were Rutherford and Royds. They knew that radium-226 (\({}_{86}^{226}{\text{Ra}}\)) decays by alpha emission to form a nuclide known as radon (Rn).</p>
</div>
<div class="specification">
<p>At the start of the experiment, Rutherford and Royds put 6.2 x 10<sup>–4</sup> mol of pure radium-226 in a small closed cylinder A. Cylinder A is fixed in the centre of a larger closed cylinder B.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The experiment lasted for 6 days. The decay constant of radium-226 is 1.4 x 10<sup>–11</sup> s<sup>–1</sup>.</p>
</div>
<div class="specification">
<p>At the start of the experiment, all the air was removed from cylinder B. The alpha particles combined with electrons as they moved through the wall of cylinder A to form helium gas in cylinder B.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the nuclear equation for this decay.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce that the activity of the radium-226 is almost constant during the experiment.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that about 3 x 10<sup>15</sup> alpha particles are emitted by the radium-226 in 6 days.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The wall of cylinder A is made from glass. Outline why this glass wall had to be very thin.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The experiment was carried out at a temperature of 18 °C. The volume of cylinder B was 1.3 x 10<sup>–5</sup> m<sup>3</sup> and the volume of cylinder A was negligible. Calculate the pressure of the helium gas that was collected in cylinder B over the 6 day period. Helium is a monatomic gas.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 3</strong> Atomic energy levels</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how atomic emission spectra provide evidence for the quantization of energy in atoms.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Consider an electron confined in a one-dimensional “box” of length <em>L</em>. The de Broglie waves associated with the electron are standing waves with wavelengths given by \(\frac{{2L}}{n}\), where <em>n</em>=1, 2, 3, …</p>
<p>Show that the energy <em>E</em><sub>n</sub> of the electron is given by</p>
<p>\[En = \frac{{{n^2}{h^2}}}{{8{m_e}{L^2}}}\]</p>
<p>where <em>h</em> is Planck’s constant and <em>m</em><sub>e</sub> is the mass of the electron.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is confined in a “box” of length <em>L</em>=1.0×10<sup>–10</sup>m in the <em>n</em>=1 energy level. Its position as measured from one end of the box is (0.5±0.5)×10<sup>–10</sup>m. Determine</p>
<p>(i) the momentum of the electron.</p>
<p>(ii) the uncertainty in the momentum.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electrons</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Monochromatic light is incident on a metal surface and electrons are emitted instantaneously from the surface.</p>
<p>Explain why</p>
<p>(i) the emission of the electrons is instantaneous.</p>
<p>(ii) the energy of the emitted electrons does not depend on the intensity of the incident light.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The wavelength of the incident light in (a) is 420 nm and the work function of the metal is 3.4×10<sup>–19</sup>J.</p>
<p>(i) Determine, in joules, the maximum kinetic energy of an emitted electron.</p>
<p>(ii) The metal surface has dimensions of 1.5 mm×2.0 mm. The intensity of the light incident on the surface is 4.5×10<sup>–6 </sup>W m<sup>–2</sup>. On average, one electron is emitted for every 300 photons that are incident on the surface. Determine the initial electric current leaving the metal surface.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about nuclear processes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by</p>
<p>(i) radioactive decay.</p>
<p>(ii) nuclear fusion.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Tritium is a radioactive nuclide with a half-life of 4500 days. It decays to an isotope of helium.</p>
<p>Determine the time taken for 90% of a sample of tritium to decay.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nuclide of deuterium \(\left( {{}_1^2{\rm{H}}} \right)\) and a nuclide of tritium \(\left( {{}_1^3{\rm{H}}} \right)\) undergo nuclear fusion. The reaction equation for this process is</p>
<p>\[{}_1^2{\rm{H + }}{}_1^3{\rm{H}} \to {}_2^4{\rm{He + X}}\]</p>
<p>Identify X.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the photoelectric effect.</p>
</div>
<div class="specification">
<p class="p1">Monochromatic light of wavelength 420 nm is incident on a clean metal surface. The work function of the metal is \(2.6 \times {10^{ - 19}}{\text{ J}}\)<span class="s1">.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why the wave model of light cannot account for the photoelectric effect.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate, in eV, the maximum kinetic energy of the photoelectrons emitted.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">The intensity of the light is \({\text{5.1 }}\mu {\text{W}}\,{{\text{m}}^{ - 2}}\)</span>. Determine the number of photoelectrons emitted per second for each \({\text{m}}{{\text{m}}^{\text{2}}}\) of the metal surface. Each photon has a 1 in 800 chance of ejecting an electron.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Yellow light of photon energy 3.5 x 10<sup>–19</sup> J is incident on the surface of a particular photocell.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The photocell is connected to a cell as shown. The photoelectric current is at its maximum value (the saturation current).</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">Radiation with a greater photon energy than that in (b) is now incident on the photocell. The intensity of this radiation is the same as that in (b).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the wavelength of the light.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Electrons emitted from the surface of the photocell have almost no kinetic energy. Explain why this does not contradict the law of conservation of energy.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Radiation of photon energy 5.2 x 10<sup>–19</sup> J is now incident on the photocell. Calculate the maximum velocity of the emitted electrons.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the change in the number of photons per second incident on the surface of the photocell.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain the effect on the maximum photoelectric current as a result of increasing the photon energy in this way.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about electric fields and radioactive decay. <strong>Part 2 </strong>is about waves.</p>
<p class="p1"><strong>Part 1 </strong>Electric fields and radioactive decay</p>
<p class="p1">An ionization chamber is a device which can be used to detect charged particles.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_17.26.23.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/06"></p>
<p class="p1">The charged particles enter the chamber through a thin window. They then ionize the air between the parallel metal plates. A high potential difference across the plates creates an electric field that causes the ions to move towards the plates. Charge now flows around the circuit and a current is detected by the sensitive ammeter.</p>
</div>
<div class="specification">
<p class="p1">The separation of the plates <em>d </em>is 12 mm and the potential difference \(V\) between the plates is 5.2 kV. An ionized air molecule M with charge \( + 2e\) is produced when a charged particle collides with an air molecule.</p>
</div>
<div class="specification">
<p class="p1">Radium-226 \({\text{(}}_{\;{\text{88}}}^{{\text{226}}}{\text{Ra)}}\) decays into an isotope of radon (Rn) by the emission of an alpha particle and a gamma-ray photon. The alpha particle may be detected using the ionization chamber but the gamma-ray photon is unlikely to be detected.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the diagram, draw the shape of the electric field between the plates.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the electric field strength between the plates.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the force on M.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the change in the electric potential energy of M as it moves from the positive to the negative plate.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Construct the nuclear equation for the decay of radium-226.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_18.04.47.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/06.c.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Radium-226 has a half-life of 1600 years. Determine the time, in years, it takes for the activity of radium-226 to fall to 5% of its original activity.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>Hydrogen atoms in an ultraviolet (UV) lamp make transitions from the first excited state to the ground state. Photons are emitted and are incident on a photoelectric surface as shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_12.49.40.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/08"></p>
</div>
<div class="specification">
<p>The photons cause the emission of electrons from the photoelectric surface. The work function of the photoelectric surface is 5.1 eV.</p>
</div>
<div class="specification">
<p>The electric potential of the photoelectric surface is 0 V. The variable voltage is adjusted so that the collecting plate is at –1.2 V.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the energy of photons from the UV lamp is about 10 eV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in J, the maximum kinetic energy of the emitted electrons.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest, with reference to conservation of energy, how the variable voltage source can be used to stop all emitted electrons from reaching the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The variable voltage can be adjusted so that no electrons reach the collecting plate. Write down the minimum value of the voltage for which no electrons reach the collecting plate.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw and label the equipotential lines at –0.4 V and –0.8 V.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is emitted from the photoelectric surface with kinetic energy 2.1 eV. Calculate the speed of the electron at the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A particular K meson has a quark structure \({\rm{\bar u}}\)s. State the charge, strangeness and baryon number for this meson.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Feynman diagram shows the changes that occur during beta minus (β<sup>–</sup>) decay.</p>
<p><img 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hFIxHiayqBsQUT312m7SnDu3Ll2JdWWdOJ7Km5tHLc4Xrx4cV0tZ1e3TlydkcnGiV29v9cEchbQQpFz7St7wwLR3aPaD+xKf+Jaf2QPHz5cdIm6fPly0We3rMFEgHz7298ecal0zRpZ8X9P6mmJufoYr7tHQItE99TVVOR0wYIFI8nGuLFqSyMtAdWOn4p18b0a4yGi+2l858YFEQsBAtMjIKCYHmdn6RGBycYOfPHFF1VLet999xW3X/3oo4/SypUrU60/0lUPnuaV0Se+0oc4rk7HXZ9GL/FjMwaUW3pPIN6XV4+R0CrRe/U8WYmizmOMWCwvvvjiuB/m8WO9ciekydKa7u3r1q0ruqTGxZ1rr702HTt2rGYWao23+Otf/1ocU/kerJmADQQIjAjo8jRC4QmBqROIpvUY7Bf/4g9cTBr39ttvp4GBgak7aQspP/XUU+mDDz4ofjTEXayuvq1iC0k7tMQCf//734uB1oKIElfSNGUt5miIH9Zx8SC+C6I7UXSHjIsMZQ0mgiZaJeI7Nm6eEd9bd955Z02xuJtVtZsKvPPOO8Uxd911V81jbSBAYKyAgGKsh1cEplwggogYQ7Fjx47Szsgaf2RjErMY6BhL5X7tFZy4cqeVoqLRO49lDXB7R7h7ShLfATEHRczPEGMJrp53JLp5VuarKUupojU1WoCjRThuBzvZGIn4Dr7uuutG5tmI43/zm9+MBEw+D2WpWfnoBgEBRTfUkjz2nEDcRST+QMdYhLL+0Yqr1HE3q7jaV5mb4oYbbkg/+tGPivqIMowewN1zlaRABDIXiBbV+GH+3nvvpcpV+7hdbHSL++qrr9K9996bRo+36DRXDMiOVoW4nXE9SwRKETBF964HHnhgzIWTaN3QUlePon0I/FdAQOGdQKADAjGwO/6I/e1vf+vA2es/ZfxBrfVHtdb6+lO3JwECZReIq/xx0aPahY8yfQfEeIhoMfnDH/5QN2kEDdH6Gl24Rnfjilt6x1gMCwEC9QsIKOq3sieBtgrEH+OzZ8+2NU2JESBAIEeBv/zlL0WxK9006zGIIClmeo+xFHEr7JgcL2bMthAg0LiAgKJxM0cQIECAAAECJRL49NNPi9xUu633RNmMsSLVBmZPdIxtBAiMF3Db2PEm1hAYJxD9hGMQYq0xA5XtZepPPK4QVhAgQIAAAQIEpkBAC8UUoEqy9wQm60872fbeE1EiAgQIECBAgMB/BbRQeCcQIECAAAECBAgQINC0gBaKpukcSKA1gX/961+tJeBoAgQIEGhIIG6GMTw83NAxdiZAYHIBAcXkRvYgMCUC3/zmN6ckXYkSIEAgN4G4S5OFAIHOCejy1Dl7ZyZAgAABAgTaIHD99de3IRVJECDQrICAolk5xxEgQIAAAQIECBAgkAQU3gQECBAgQIAAAQIECDQtIKBoms6BBAgQIECAAAECBAgIKLwHCBAgQIAAAQIECBBoWkBA0TSdAwkQIECAAAECBAgQEFB4DxAgQIAAAQIECBAg0LSAeSiapnMggc4K9PX1dTYDo85uoqhRGJ4S6EKBMn2fBJ/vlC58E8ly1gICiqyrX+G7XaAMf3TL9kOk2+tU/gl0SqAM3ydRdt8pnXoHOC+B5gV0eWrezpEECBAgQIAAAQIEshcQUGT/FgBAgAABAgQIECBAoHkBAUXzdo4kQIAAAQIECBAgkL2AgCL7twAAAgQIECBAgAABAs0LCCiat3MkAQIECBAgQIAAgewFBBTZvwUAECBAgAABAgQIEGheQEDRvJ0jCRAgQIAAAQIECGQvIKDI/i0AgAABAgQIECBAgEDzAgKK5u0cSYAAAQIECBAgQCB7AQFF9m8BAAQIVASuXLmS9u/fn86fP19Z5TEjgaj7oaGhjEqsqAQIEGiPgICiPY5SIUCgBwRmzJiRZs+endauXZu2bdsmsOiBOm2kCEuXLk179+5Nq1evFlg0AmdfAgSyFxBQZP8WAECAwGiBNWvWpMHBwXTvvfcKLEbDZPC8v78/vf7662nr1q0CiwzqWxEJEGifgICifZZSIkCgRwSipUJg0SOV2UQxlixZIrBows0hBAjkKyCgyLfulZwAgUkEBBaTAPX4ZoFFj1ew4hEg0DYBAUXbKCVEgECvCggserVm6yuXwKI+J3sRIJCvgIAi37pXcgIEGhSoFVjE3aEsvS9QLbC4ePFi7xdcCQkQIDCJwDWTbLeZAAECTQn09fU1dVy3HXT69OliAG+35Vt+2yNw5MiR9iQ0jakMDw9P49mcigCBHAS0UORQy8pIoAMC8aOl1/599dVX6dChQ2nRokXFnYA+/PDDri1j5D3uZtRrdTSV5Tlx4kRatWpV8S+eT+W5pjLtDnwdOCUBAj0uoIWixytY8QgQaF0gujS99dZb6bnnnkv33XdfeuWVV9L8+fNbT1gKXSEQk93F/BSxRBAWXZ8sBAgQIPA/AQHF/yw8I0CAwBgBgcQYjuxeCCSyq3IFJkCgSQEBRZNwDiNAoHcFBBK9W7f1lEwgUY+SfQgQIPA/AQHF/yw8I0CAQDp8+LCuTZm+D86cOZOefvrpovS6NmX6JlBsAgSaEhBQNMXmIAIEelEgWibOnTtnjEQvVm4dZXrzzTeNkajDyS4ECBC4WkBAcbWI1wQIZCsQ80z88pe/zLb8uRdc3ef+DlB+AgSaFRBQNCvnOAIECHSxwLXXXpuOHz9eVwkuXbqUXn311fTJJ5+kefPmpaVLl6b+/v66jrUTAQIECPS+gHkoer+OlZAAAQLjBObMmZNiUr7o5jXREjNBr1y5Ms2ePTtt2LChuF3us88+m+68885kluiJ5GwjQIBAPgICinzqWkkJECAwRuCZZ55J77///ph1o19EsLFmzZq0a9eu4jHm3hgYGEi/+93v0oEDB4p1gorRYp4TIEAgTwEBRZ71rtQECBBIDz30UDFhW61Wis2bN6d169YVQcTVXDG52/bt29Prr79+9SavCRAgQCAzAQFFZhWuuAQIEKgIxDiIBx54ID366KNpcHCwsrroBrV///7i9fr160fWX/1kwYIFxbiKq9d7TYAAAQJ5CRiUnVd9Ky0BAgTGCGzatCl97WtfS1u2bEnXXHNNuu+++9L58+eLsRL79u1LceerWss//vGPdMMNN9TabD0BAgQIZCIgoMikohWTAAECtQQef/zx9LOf/SxduHAhffzxxym6OsWg7cmWI0eOpFWrVk22m+0ECBAg0OMCujz1eAUrHgECBOoRiJaIyqDreoKJGIwdt51duHBhPcnbhwABAgR6WEALRQ9XrqL1vkBfX1/vF1IJSykQg7Gju9REXaJKmXGZqing+6QmjQ0ECEwioIViEiCbCZRVYHh4OJXlX1mN5GvqBN555510//33T3qCaMmIeSvix+q2bdvSsWPHUkyUZymXQFm+Syr5KJeO3BAgMJmAgGIyIdsJECBAYJxAjJ+YrGtUBBMxj8Udd9yRPvvss2K8xalTp4qZtoeGhsalaQUBAgQIdKeAgKI7602uCRAg0FGBRYsWFXeDqpWJaIUYPSnezJkzU8xdsWPHjqKVIu4qdebMmVqHW0+AAAECXSQgoOiiypJVAgQIlEUgJrXbu3dvMWfF1XmKifKeeOKJmpPiRcvG888/n958882rD/WaQNMCEeRaCBDojICAojPuzkogxaRgcZecWrMUIyJQZoFofbjrrrvSD37wg/TWW2+NvI/j/fzb3/62yPpEk+LdfPPN6YsvvihzEeWtiwROnjxZzKHSRVmWVQI9JSCg6KnqVJhuEvje976XTp8+nd5///1uyra8EhgRiLs8xUDrX//61+naa68tni9fvjxdvnw51TMp3khCnhBoQSAmYozWspj13UKAQGcE+objlgqjlrgTx1WrRm31lACBdgo89thj6YMPPkiHDx+edIBrO88rLQLtFogB2F999VW66aabUoyXmGyJQCR+AA4MDEy2q+0EagpEi1gEsbEMDg66jXFNKRsItE+gWqyghaJ9vlIi0LBAXMW97777isGrL7/8coofZRYC3SgQ4yJiYrx6gokYsB3d/ZYtW9aNRZXnEghEIBF3CnvkkUeKrndxUcacKCWoGFnIVkALRbZVr+BlEogm++gDfPbs2bR582atFWWqHHlpu0AEz9EtKrpMWQg0IxAtXPPmzStuQdzf399MEo4hQKBJgWotFAKKJjEdRoAAAQLNCURXv61btxYtGhOlEC120YoX/eNXrVpVtOQtXLiwuKHBRMfZRoAAAQJTJ1AtoNDlaeq8pUyAAAECVQQOHjxYVzARd5KKcRYxrm///v3pyy+/TD/84Q9TtHBYCBAgQKA8AgKK8tSFnBAgQCALgQ0bNkw4qd3oSfEqg7ZjjMbPf/7z9Pvf/764iYGZtrN4qygkAQJdIqDLU5dUlGwSIJCnQDQtl2lpx10AY4bsjRs3Vr27WQy2jXFEMcdFrTEWcfyLL76YDhw4UCYaeSFAgEAWAtW6PAkosqh6hSRAoFsFqn1xd6os7cxL3JXn6aefLgKL1atXFzciiGAiZtD+6KOPJpzHIvaLeS/aEdx0ytJ5CRAg0K0C1f4W6PLUrbUp3wQIEOhigRgfETNqxx3O5s6dmyKoiCAhujZNNinehx9+WAzq7uLilzLr8SOhLP9KCSRTBAjUFNBCUZPGBgIECHReoNqVoE7laqryEi0OFy5cKAKLeuYSePbZZ9M999xjUrw2vxGmqn4bzWZZ8tFovu1PIBeBap9RAUUuta+cBAh0pUC1L+5OFaQMeYkB27NmzSpm5a4n+OiUVTeetwz1G25lyUc31qE8E5gOgWqfUV2epkPeOQgQIECgLQJvvPFGeuGFF8yK3BZNiRAgQKA9AgKK9jhKhQABAgSmQSBmk1+6dOmkZ4pJ8WI25biStnjx4mKw95EjRyY9zg4ECBAg0LiAgKJxM0cQIECAQAcFYvD2REsEE6MnxTt69Gj67ne/m371q18VE+RNdKxtBAgQINC4gICicTNHECBAgECHBG644Yb08ccf1zx7DPCOYGLXrl0jg7ZnzpxZPH/77bfTBx98YKbtmno2ECBAoDkBg7Kbc3MUAQIEpkWg2uC3aTlxlZOUIS9xm9m1a9emV155Jc2fP39MLiOYmGxSvBjUvXLlynTq1Kkxx3pRnsHQZXifeT8QIFBboNpnVEBR28sWAgQIdFyg2hd3pzJVlrwMDQ2lxx9/PH3/+99PP/nJT1J/f3+KYOKpp55Kn3/++aTzWJSlHJ2qx1rnLYtLWfJRy8l6ArkLVPuM6vKU+7tC+QkQINBlAkuWLEkxLuKWW24pZtqOP24xrmLBggWTBhNnzpxJGzZs6LISyy4BAgTKLaCFotz1I3cECGQuUO1KUKdIypSXZg3279+fZs+eXYyzaDaNXj2uLPVblnz0aj0rF4FWBap9RgUUrao6ngABAlMoUO2LewpPN2HSZcrLhBmtsbEyKd5nn32WYqC2ZaxAWeq3LPkYq+MVAQIVgWqfUV2eKjoeCRAgQKCnBd577730zDPPCCZ6upYVjgCBTggIKDqh7pwECBAgMO0C77zzTnrooYem/bxOSIAAgV4XEFD0eg0rHwECBAiMCEw2Kd7Ijp4QIECAQN0CAoq6qexIgAABAt0sMG/evHTy5MluLoK8EyBAoJQC15QyVzJFgAABAgTaLPDTn/60mNTutttuG5lFu82nkBwBAgSyFHCXpyyrXaEJEOgWgWp30+hU3suUl2YNLl68WEyK98YbbzSbRNcfNzw8XLUMZanfsuSjKpKVBAikap9RAYU3BgECBEosUO2Lu1PZLVNeWjWI+Shefvnl9Morr6T58+e3mlxPHF+W+i1LPnqiUhWCwBQIVPuMCiimAFqSBAgQaJdAtS/udqXdaDplykujea+2/9DQUNqyZUvatGlTWrduXbVdslpXlvotSz6yqnyFJdCAQLXPqICiAUC7EiBAYLoFqn1xT3ceKucrU14qeWr1MSa7e+KJJ4pkdu/enf1j2YYAAA1cSURBVPUcFWWp37Lko9X3luMJ9KpAtc+ouzz1am0rFwECBAhMKhAzZh84cCAtW7asGLAdrRYWAgQIEGhMQAtFY172JkCAwLQKVLsSNK0ZGHWyMuVlVLba9vT8+fNp7dq1Rfen9evXpxkzZrQt7W5IqCz1W5Z8dEOdySOBTghU+4xqoehETTgnAQIECJROIAZnDw4OpsuXL6dHHnkkxR2hLAQIECAwuYAWismN7EGAAIGOCVS7EtSpzJQpL1NtcOzYsbRixYp06NChtGbNmqk+XSnSL0v9liUfpagUmSBQQoFqn1EtFCWsKFkiQIAAgc4KDAwMpAsXLqS33norbdu2LV25cqWzGXJ2AgQIlFhAQFHiypE1AgQIEOicwJw5c9K+ffvSvHnz0vLly9OZM2c6lxlnJkCAQIkFdHkqceXIGgECBKo1LXdKpUx5mW6DCCY2btzY03NWlKV+y5KP6X6POR+BbhGo9hnVQtEttSefBAgQINAxgf7+/nT06NF09uzZ9Nhjjxmw3bGacGICBMooIKAoY63IEwECBAiUTiDmrNizZ0968MEHi4HaMXDbQoAAAQIp6fLkXUCAAIESC1RrWu5UdsuUl04ZVM4bc1bEYO3FixenLVu29MScFWWp37Lko1LXHgkQGCtQ7TOqhWKskVcECBAgQGBSgZiz4rXXXiv2izkrIsCwECBAIFcBLRS51rxyEyDQFQJxJahMy/DwcJmyU4q8RNenHTt2pO3bt3f1nBXVrjp2Args+ehE2Z2TQDcIVPuMCii6oebkkQABAgRKLRCzau/cuTPdeOONRWAR4y26ban2I6ETZShLPjpRduck0A0C1T6jujx1Q83JIwECBAiUWiDmrDhw4EBasGBBWrlyZdfOWRE/FDr9r9QVLXMECFQV0EJRlcVKAgQIECDQnEBlzop169al9evX98SA7eYkHEWAQC8KaKHoxVpVJgIECBAolUDMWTE4OJg++eSTtHnzZnNWlKp2ZIYAgakQ0OVpKlSlSYAAAQJZC8yYMWNkzoq5c+cmc1Zk/XZQeAI9L6DLU89XsQISIECAQCcFYsD2pk2bUtxqNgZuR7BhIUCAQLcK6PLUrTUn3wQIECDQtQIxYDvmrJg3b15avny5OSu6tiZlnACBWgJaKGrJWE+AAAECBNosMDQ0VMysHS0WMWjbQoAAgW4TqNZCIaDotlqUXwIECBDoaoFLly6lJ554oijD7t27UzfOWdHVFSDzBAi0JFAtoDAouyVSBxMgQIAAgcYEIoCIOSuWLVtWzFkRrRYWAgQIdLOAFopurj15J0CAAIGuFjh//nxau3ZtWr16ddEVyoDtrq5OmSeQhYAWiiyqWSEJECBAoFsE4s5PMWdFLI888og5K7ql4uSTAIExAlooxnB4QYAAAQIEOiMQc1WsWLEiHTp0KK1Zs6YzmXBWAgQITCKghWISIJsJECBAgECnBAYGBtKFCxfSW2+9lbZt25auXLnSqaw4LwECBBoSMCi7IS47EyBAgACBqROIOSv27duXFixYUMxZcebMmak7mZQJECDQJgFdntoEKRkCBAgQINBOgQgmNm7cWMyy/eMf/9gM2+3ElRYBAk0L6PLUNJ0DCRAgQIDA9Ar09/eno0ePprNnz6bNmzcbsD29/M5GgEADAro8NYBlVwIECBAgMJ0CMWfFnj170oMPPlgM1I6B2xYCBAiUTUCXp7LViPwQIECAAIEqAjFnRQzWXrx4sTkrqvhYRYDA9Ajo8jQ9zs5CgAABAgTaLhBzVrz22mtFujFnRQQYFgIECJRBQAtFGWpBHggQIECAQAMCQ0NDRSvF9u3bzVnRgJtdCRBoXaBaC4WAonVXKRAgQIAAgWkXuHjxYtq5c2dx3t27d6cYb2EhQIDAVAtUCygMyp5qdekTIECAAIEpEIg5Kw4cOJCWLVuWVq5cmcxZMQXIkiRAoC4BLRR1MdmJAAECBAiUV6AyZ8W6devS+vXrzVlR3qqSMwJdL6CFouurUAEIECBAgMB4gZizYnBwMH3yySfmrBjPYw0BAlMsoIViioElT4AAAQIEplMg5qpYsWJFevvtt9PAwMB0ntq5CBDIQKBaC4WAIoOKV0QCBAgQyEsgBmxv2rQpxa1mY+D2jBkz8gJQWgIEpkygWkBhUPaUcUuYAAECBAh0RiAGbMecFfPmzUvLly83Z0VnqsFZCWQjoIUim6pWUAIECBDIUaAyZ0W0WMSg7cmWuPrY7DI8PNzsoY4jQKBLBKq1UAgouqTyZJMAAQIECDQrcOnSpfTEE08Uh+/bt08XqGYhHUeAQBJQeBMQIECAAIGMBWLA9j333GMSvIzfA4pOoFUBAUWrgo4nQIAAAQIECBAgkLFAtYDCoOyM3xCKToAAAQIEqgnEXaKim1StJbZNtL3WcdYTINCbAgKK3qxXpSJAgAABAg0JnD9/Pu3fvz8tXrw4zZ07Nx0/frzq8bHfrFmzin9Vd7CSAIHsBAQU2VW5AhMgQIAAgfECN910U7p8+XI6ffp0sfHcuXPjd0opHTx4sFi/aNGiqtutJEAgPwF3ecqvzpWYAAECBAjUFIj+0bFs3bo17dmzZ9x+le1m4h5HYwWBLASMociimhWSAAECBAg0L7Bhw4aaB0d3p1heeOGFNDAwUHM/GwgQyEtAl6e86ltpCRAgQIDAhAI33nhjze3btm1LEXCsX7++5j42ECCQn4CAIr86V2ICBAgQIDCpwNWDsmPA9s0335xMjDcpnR0IZCdwTXYlVmACBAgQIECgpsCCBQuKbZXB2fEiJsR7+eWX09GjR82yXVPOBgL5CmihyLfulZwAAQIECIwTuP7668esGxoaSjt27EiHDx82w/YYGS8IEKgIaKGoSHgkQIAAAQIExgjEIOylS5emCxcupDlz5ozZ5gUBAgQqAlooKhIeCRAgQIAAgTS6hWLt2rXpxIkTggnvCwIEJhQwD8WEPDYSIECAAIG8BKJV4vbbby8KHcHEkiVL6gY4c+ZM+uMf/1hMkBctG/39/XUfa0cCBLpDwDwU3VFPckmAAAECBDou8NJLLzUUTMSg7bvvvrsYa/HBBx8Uzx977LGOl0MGCBCYegEtFFNv7AwECBAgQKBrBC5dupTee++9hiaui5aJCCZiwrtNmzYVZY07Q61YsaLoMtVIK0fXQMkogUwFqrVQGJSd6ZtBsQkQIECAQDWBmTNnNhRMRBqvvvpqkVR0c6rMpn3dddcV6z799NNqp7GOAIEeEhBQ9FBlKgoBAgQIEOiEwN69e4vTRiuFhQCB/ATc5Sm/OldiAgQIECDQNoGLFy8WacWYi+Hh4ZF/cavZDz/8MK1Zs6Zt55IQAQLlFBBQlLNe5IoAAQIECHSFQMxPsWjRomIwdiXDEWTMnTs3HTx4sLLKIwECPSxgUHYPV66iESBAgACB6RCIOzw9+uijadWqVWnx4sXpySefLIKMwcHBNGPGjOnIgnMQIDBNAtUGZQsopgnfaQgQIECAQC8LxF2d3nnnnaKIEVgsXLhQMNHLFa5s2QoIKLKtegUnQIAAAQIECBAg0LpAtYDCGIrWXaVAgAABAgQIECBAIFsBAUW2Va/gBAgQIECAAAECBFoXEFC0bigFAgQIECBAgAABAtkKCCiyrXoFJ0CAAAECBAgQINC6gICidUMpECBAgAABAgQIEMhWQECRbdUrOAECBAgQIECAAIHWBQQUrRtKgQABAgQIECBAgEC2AgKKbKtewQkQIECAAAECBAi0LiCgaN1QCgQIECBAgAABAgSyFRBQZFv1Ck6AAAECBAgQIECgdQEBReuGUiBAgAABAgQIECCQrYCAItuqV3ACBAgQIECAAAECrQsIKFo3lAIBAgQIECBAgACBbAUEFNlWvYITIECAAAECBAgQaF1AQNG6oRQIECBAgAABAgQIZCsgoMi26hWcAAECBAgQIECAQOsCAorWDaVAgAABAgQIECBAIFsBAUW2Va/gBAgQIECAAAECBFoXEFC0bigFAgQIECBAgAABAtkKCCiyrXoFJ0CAAAECBAgQINC6gICidUMpECBAgAABAgQIEMhWQECRbdUrOAECBAgQIECAAIHWBQQUrRtKgQABAgQIECBAgEC2AgKKbKtewQkQIECAAAECBAi0LiCgaN1QCgQIECBAgAABAgSyFRBQZFv1Ck6AAAECBAgQIECgdQEBReuGUiBAgAABAgQIECCQrYCAItuqV3ACBAgQIECAAAECrQsIKFo3lAIBAgQIECBAgACBbAUEFNlWvYITIECAAAECBAgQaF1AQNG6oRQIECBAgAABAgQIZCsgoMi26hWcAAECBAgQIECAQOsCAorWDaVAgAABAgQIECBAIFsBAUW2Va/gBAgQIECAAAECBFoXEFC0bigFAgQIECBAgAABAtkK9A0PDw9XSt/X11d56pEAAQIECBAgQIAAAQJVBUaFEOma0XuM3jB6vecECBAgQIAAAQIECBCoJqDLUzUV6wgQIECAAAECBAgQqEtAQFEXk50IECBAgAABAgQIEKgmIKCopmIdAQIECBAgQIAAAQJ1Cfx/pr9oER4yQHQAAAAASUVORK5CYII="></p>
<p>Label the diagram by inserting the <strong>four</strong> missing particle symbols <strong>and</strong> the direction of the arrows for the decay particles.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>C-14 decay is used to estimate the age of an old dead tree. The activity of C-14 in the dead tree is determined to have <strong>fallen to</strong> 21% of its original value. C-14 has a half-life of 5700 years.</p>
<p>(i) Explain why the activity of C-14 in the dead tree decreases with time.</p>
<p>(ii) Calculate, in years, the age of the dead tree. Give your answer to an appropriate number of significant figures.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>An apparatus is used to investigate the photoelectric effect. A caesium cathode C is illuminated by a variable light source. A variable power supply is connected between C and the collecting anode A. The photoelectric current <em>I</em> is measured using an ammeter.</p>
<p style="text-align: center;"><img 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cJXruLFI/hJEQ7JNWac7AnBlA2jPn/+fCNWPpgE3G21L0bw48eP90SsuxndwogZdzs5S9OLAJ64b7jhBjl//jxH8Q6rxvMjeKwtg6T76D08uoURMw73aorXmgCeMletWiVVVVVa19MPlfO8gT9y5Ij2r0NjxMJdmfzwc2EbVBEYNmwYJ1tVwYwhx/MGHq/3Y+EwN1NaWprE+wuvDyNmwmnws5ME4vVLnNchZWdnGytR6lAXP9fB8wYey5Xq7J5BxAx2ZcKCZ6qSKdNc6yNZudyVKVmCvN4qAbhpsPgf+h6TcwQ8vaMTJi2xnruuyYxuQUiYiugWtNOUyV2ZdNU665UoAewLrNtmO4nW3Sv5PG3g0Tl0Hb3j5gM/IyJmVMX7mjKxxoyKiVrMDeApAGFreJ2ciQTcJADX6smTJ6Vfv35uFhuosjzvotFVW3hrDztHqTDEaGN4FI6qmxrXmNG197BeJKCGQDAN/OUa2f3KUzIt89pkaea0p+SV3TVyWQ1XYyVLVaNiMwoHi6ipkomXrbDl2syZMxW1mGJIgAR0IxAwA18vl2s2ybz7viY/e+OLkn/gEwmFQhIKfSgVk6+TrZNz5L6n9isx8jDGqhKicOCvVLX8Mfz4mKjlGjOqNEQ5JKAngWAZ+MtV8vMH58hLPZbLhqVTZEBGm0attJesrz4sz24tECmYLT/bfU4bbTFixklV1MqmaT1bh7z2fEoO/NPJcvWVXV+zVkYjDDhzgey+VK9vRT1Xs8ty4Kl7WvS1njJtU62jLfH0JKs1MvVyaf9mebpimBT+4mvSudWtLV3a3flv8tTmHvJhF9PwWytBdW5GzKgm2lJeV8lbd0JC61oeD+r3j+VE5Q45+uhSWXpsq+ysuiAjR3b0PAwEJ2BTcLw5i/2JS0pKWrUJ0XiY2+rVq5f06dNHEKevKvKtobB2MuCxP8jVb66VsdkzpTznaana+rAMaNfKELWqWzIHnJWeTM2UX3tBqnaWS11GT+nWKYoBT8+QAePGycis9spLtyrQjJjBCpkqJmqDGzHzqdQdeEnm3ZPZOHoaLfPW7paayxydtuqTl/4opYtOypSvf1fyvtNZlhf/Rmo8iglBCQglxjpVCHhAvP3AgQON2HtE3zW4ZuGebfjDnNSkSZOkXbt28uyzzxpr5WB/CXMplFasbB2ol8unT8hRGSBzH5/iuHFHFYNj4OvPyalDZ0R695QuDt81bek+7CJGzITBSOrjp/L+pkdlwH27pFPxAbmKH/Pf/0Oy9zwsOQ9vlvc9arySQhL14nq5VLVLXpJcGT2ws/QcNkZyy3dI5YmPo16h4wn8dmCsb775Zjlz5ow8+eSTxj4RmL/Kzc01RumRRuYYRCFcEzeDF154wVgIDTcEXI+bhBpDf0X+38E/SZ0MlP91x42u4AuOgXcFZ/KFMGImeYZNEi5Vyso5m6R34Y/l4cEZDaOZdr1kxqpnZMr2JbKyQp+5lqY6p+xDwxOuTBklA9unS3rPu+Q7uQfl15WnxCv3wfLycmOteSDESpUw6nZj7PHuCm4ImzdvloKCAsPQz5071whXtq2i+tNy+PfVIrmDpdcX3fGOB8fAp3eUbv0yRY6ekNMaP54zYsb2z6fFhY0j0rpM6detY/NH1XaZkt37jLy084hcanFVUL/W1/xGipeLTBndRwwHZXo3Gfad/lK+aL1UaD7ZikERjO9zzz1nbPoDw67q5UL0B4QmY5tB+OexWQnmxuyk+hN/lF+Xi+R+5y7p6ZLldakYOzhUX3OTDBydKxl1J+TU2U+jCq+vOyBbFMbDRy0owglGzESAkvShA7L83luaRy9cd4fMLK9LWrJ/BDRMrpZnwD1zU2OzPtvgpqkrNyZbdW0r5qomTpwot956q2GEVb0E2LK9cOsg9BlzYlhXCr9Va+mf8tdj+6VcIgw4rAmylDtABj5d2g8eL4/mVMqi4t9F8L/Wy+Xj6+R7A6bLby5+Rm6whDH5zGbEDHdlSp5lcwkTpLT6o6bJNHNSDf+fKR7ZMFptfkHwvtWfkspfV4rULZV7v3Bd083wOkR7yAFtn3Rg3OEzh+HFqD2Sb121MnEDweQt/uDrTzxdlLf+XCXS7Caa+NW2c4Y8nKqrq0MFBQUWWnA19Pe3XgxNzcgI5cxdH6o680njtR+Gqsufbjj+4/LQmauxRYpIKN5fbAnNz9bW1hry0B4V6cqVK6FZs2aFysrKVIjzrowPXwvNzegVmlF2KtRMpX//c6gk519CuaVvNT/u3ZY21Txev8T55ulq6MPXfhzKkAmh0uqPmp8KxTrXIquNr+ifdvsofjODBg0KVVZW2ig5+UvM39i6desSE2b0RQnJ1LLQmcSuUJIrQCN43APTpd3t0+T/HNgqP8o+Jo9lfqZxtPIFydlwVe7bUCFbl3xVMlykwogZ22OT+Be2Hyb5q0fI9jk/kWf21zVMFl4+Lpt+9rgUyA9lyb9mNffNx5fowxyNk6sz/k1G9/xsi/alS/uBo2RKRqVWk61myK/KpTtaNDzuVzwt4Gkbo/j4PnlzPihDckd8Wb4YV7q6DC6aMnWVTlZSesYAGTejWP7QGANrPK6ve0zuH5kl7ZIVbuF6RsxYgGUraxvpnLdEKjaMkLPzBsh1eEPz8xNkyy0PStXGH7oSh2yr2m5edOmI7HxJZMp3747w8p+ItO8v//pofyn/9R/lhCbhNKWlpUqX7rCLG6GVpk8eA7Wo6fKb8sq6rVIn2fLVvl3cHVQoeQ5IkRDrLho1FbX+GBy53KKiIosupshyzKN4XMVjKx4fmYJJwFrf/ChUXTohJDlPh6r+3syJ1Qze1erSUK4MCM197b+bHU/2ix0XDX7zuvVxuGkiu4r/HqoqyWnlzv2XkqrQP5KFl+D17gRjRr21BfcEJmmw0xMW/FKRuCuTCopBk/FZyZrxXxKaEbvd6VkzZGe8TLFFKDuLcEiEErsxoZpopSdMmGBMusJV03y114blCUKPJSpJfb5AumjUY7QmER1h2bJlhg9PRUdFNMHkyZONjq9iWQNrrWFuEnCHgOnrbm5E3Sk7Vin4DeNlqEhr3MS6zo1zNPBuUA4rA8YYcbRcYyYMCj+SQAIEYEBhSHVM5k3HvAnpUkcaeBc1gUlVxO3iEVPVCxnclclFBbKolBEwN+c2DWnKKhKj4NmzZ8uePXti5HD/FA28S8xh3PPz842XMlR1UoRocVcmlxTIYlJKAOvMYHCkcxo+fLgsXLhQ8FvXJdHAu6QJ1aFdeBTkrkwuKY/FpJzArl27ZOTIkcrqgRsGJmytLzkQvQqmL/7gwYPRM7l8hgbeBeCImDl8+LAsXrxYSWmMmEkMI5Z4jRmfnJgY5koxAehwy5YtSvZFMJuChcng0582bZrSPjJkyBB5++23zWJS/j8NvMMqYMSMw4BjiP/b3/5mrP4HVxYNfQxQmp86d+6c0slV3Phxw5g1a5bR8oqKCmUEsOLksWPHlMlLVhANfLIEY1zPiJkYcFw4hfW8MemVmZlJQ+8Cb6eKgMGE4VSVKisrDVEIUBg0aJBSN03Hjh21CpekgVfVa1rIYcRMCyAp+gq/KCbnaOhTpABFxWIrPRUJv8uHHnpIsAcr3hnBejYYzasKb1S5Dr2K9vJNVhUUI8i46667pFOnTrJjxw7jL0IWS4ewYfDZs2eNkejjjz9u6Vpmvkbg3nvvNYz90qVLjc2Vv/KVr2j1VuS1mvKTEwT27t1riEVIIxKe8pBg5FVFtxkCNfnHsoFPS0vTpOrXqqHjG2QYOWJPRxWptrZWjhw5Yow2rr/esspUVME3MsDv9ttvlzZt2sjGjRvlk08+8eUPO5bCdPwNx6ov9kSdMmVKrCwJn3v55ZeNvOZvE++jYDQPGzJ//nxlO0E5xRgLI1pJtqyF1UKsVMhKXkSTrFmzRpYvX27lsqTzJqK8ESNGJF0OBGBycN26dUYMPY178khxs/zTn/5kCEIERdeuXZMX6jEJuvx+EV2GFC++3cyXLGbMicFewO+OpULMhM25kbZt22YMoszjyfzvBONE7E7LOtsy8C2F8HtrAnABJJvQIdH5MSnkx8fHZPlYuR4+VvNJb+3atb7lWVhYaAVLoPJiA22kvn37Nmt3Tk6OvPHGG8ba7vDJ+ynRwGuqTUwGIW4eW5HRuNtXUrhhxzomZGmfZaquxASruVRBMnXAS00YvWMFV7hQw9ONN95ovIWK/pJMH8GgDC4fXRINvC6aaFEPhHB1795d2SNjC/GB+LpkyRLZv3+/EUOdzI82ELA0bmS3bt3E9J3brSYMN0bpq1atamXcIdN0qb744otJGXjE7KtaZ8puW8OvY5hkOA1NPptrzGDVSSb7BMAPj+U07vYZ6nAl5kngO09mjRdEySANGzYsYpPQRzC6RzkYhdtNCIbA26y6JBp4XTTRWA+MNPAoWVxcHHGkoVl1ta5Oy8dwrSvLykUlAD3irdPq6uqoeeKdgNEtKyuTfv36Rc36/PPPG3muXLkSNU+8EwjDVPlSVrzy4p2niyYeIRfPw8+IEQYiPXR7YcJFDCyKBFoRwK5JCDaIZaBbXRR2IF6kDrJCtl35uB4Rb1hzii6aMPD82EAAj4XYlQmdmLsysVeQQHMCiFvHG6jJuGmaS1T/TWWYpara0UWjimQSchgxkwQ8XhoIAniiRRTU9u3btWwvfsOYO5s0aZJW9aOB10AdjJjRQAmsgvYE4IfHC0o6juJx40E8vW6uVRr4FHdrRsykWAEs3jME4NuGEU02ZFJ1g+F7x40HO7bpljjJmkKNmBEzWJCMER8pVASL9gwBrBczZswYIxRRl8lMGHe8kKjj3BlH8Cnq2mbEDNbZ0O2xLkVIWCwJxCWA3wqWY0BAgg6uGvx+sS8yonx0TDTwKdAKI2ZSAJ1F+oYAlvjFmjFwiaTSyOMJHKN3zKHp+gROA+9yt0eH5BozLkNncb4jAJcIUqqMPIw73lnZsGGDlq4ZU+E08CYJl/5nxIxLoFmM7wlg0TAkt428adzxzoou8wDRlE0DH42MA8cZMeMAVIoMLAG4RWDksfzvxIkTk1pDJlGIWEYEaxzhbXMvrHHEKJpENZtkPkbMJAmQl5NABAIw8nDXYCSNRcmw3szYsWOV+8QRFDF37lyjHES9eSUwgiP4CJ1G9SFGzKgmSnkk0JwAJl4xqt63b5+x9C8GVComYBEQgWWnEbWDfVyxe5xXjDsI0cA37yfKvzFiRjlSCiSBiAQQhw4DjIlPLA+MNd7hUsEAy0rCi0u4QXz/+983dlTDHr579uxp2qDbiqxU56WLxkENMGLGQbgUTQJRCMBdA0OPwdXu3bsN1wr2XcVbsFg2GDtEYRMRM2F54JMnTwryYDVIrAlfVFQk06dPl/79+yt395jluvE/DbyDlBkx4yBciiaBOAQwoke8PP4wKn/vvfcMQ44R/a5du5pdDcOPGwNcPS+88EKzc17+QgPvkPbMiBnEvDORAAmklgD85vhLZr331LbAXuk08Pa4xb0Kvj+uMRMXEzOQAAk4SICTrA7B5RozDoGlWBIggYQJ0MAnjMpaRh1XlrPWAuYmARLwOgEaeK9rkPUnAY8SQNQKk7MEPG3gO3bsKCUlJc4SonQSIAFHCCCqpVevXo7IptAGAp428OYbZSreWGOHIAEScJcAwhVvuOEGdwsNWGmeNvDQFTbira6uDpja2FwS8DYBxKXDRcO5Kmf16HkDjxcUsGynmykUCkm8Pzfrw7JIwCQQr1/ivA6pqqpKxo8fr0NVfF0Hzxv4wYMHG+tN+FpLbBwJ+IwANs7GWjFMzhLwvIHHIx7Wg8biQEwkQAL6E4DvHWu+YJ0XJmcJeN7AAw8WBWI0jbMdhdJJQBUBLOY1f/58Ty/ipYqF03J8YeCxswoWCsLbo0wkQAL6EsDovaKiwtiUQ99a+qdmaSGLsy5paWnGBKNuCLA0KHZ0waL/nJnXTTusDwmIsQEHttbDxhlYtZHJGgE7ttcXI3hgglHHdl3Yvq0Up/YAABL9SURBVItx8dY6DnOTgBsEsHw2giJo3N2g3VCGbww8mpOXlyejRo1yfZd199TFkkjAmwTM5bOxYTWTewR846IJR4bOhFl67LiOTXmZSIAEUkMAT9OlpaX8PSrAH2gXTTg/uGkQOok4W0zqMJEACbhPAG+r5ufn07i7j76pRF+5aJpaJWL44gsLC43d0DGip18+nA4/k4BzBPBbQ0TbmDFjZPjw4cYWeHySdo53LMm+NfBoNCZzsKsSkrnDOkYVTCRAAuoJ4LcFw47f2r59+2TDhg3GfqjqS6LERAn40gcfqfHofBs3bjSWNYD7BiOLPn36GKvZIYaeiQRIwBoB0/157Ngx2b59u+AFpqKiIrn//vuN91KsSWPueATs+OADY+DD4R06dMjYXR2jjA8++MDomOHn+ZkESCA+gXHjxhmGHGu6Y7CUnZ3NoIb42GznoIG3jY4XkgAJkIDeBOwYeF/74PVWF2tHAiRAAs4SoIF3li+lkwAJkEDKCNDApww9CyYBEiABZwnQwDvLl9JJgARIIGUEaOBThp4FkwAJkICzBGjgneVL6SRAAiSQMgI08ClDz4JJgARIwFkCNPDO8qV0EiABEkgZARr4lKFnwSRAAiTgLAEaeGf5UjoJkAAJpIwADXzK0LNgEiABEnCWAA28s3wpnQRIgARSRoAGPmXoWTAJkAAJOEuABt5ZvpROAiRAAikjQAOfMvQsmARIgAScJUAD7yxfSicBEiCBlBGggU8ZehZMAiRAAs4SoIF3li+lkwAJkEDKCNDApww9C9aVwOnTp3WtGutFApYI0MBbwsXMfibw+uuvy3e/+13Jzc31czPZtgARuD5AbWVTSaAVgY8++kh27dolhYWFUltbK3V1dTJt2rRW+XiABLxIgAbei1pjnZMmcOHCBVmzZo08++yz8t577zWTN3LkyGbf+YUEvEqABt6rmmO9bRGoqamRVatWySuvvCJnz55tJeO2226TIUOGtDrOAyTgRQJpoVAoZKXiaWlpYvESK+KZlwQcIwB3DHzsr776aswy2L9j4uHJFBGwY3s5yZoiZbFY9wm0bdtWfvnLX8rcuXPllltuiViBSZMmRTzOgyTgRQI08F7UGutsmwCMfHFxsTz55JNy4403tpIzaNCgVsd4gAS8SoAG3quaY72TIvDNb35TLl682ExGp06dJCcnp9kxfiEBLxOggfey9hysO/x9fkkt24IImry8PKmsrDRCI7t37240FZOu2dnZfmk220ECwigadoJAEcBE67x582Tq1KkydOhQo+1VVVUyffp0+cc//iFw4TCRgF8IMIrGL5pU3A47M/aKq6BMXHhblixZYrhmli9f3kw+DP/BgwebjH6zk/xCAhoQCO/HiVaHBj5RUgHLZ6cz6YrIbMv69etl7969snLlSo7UdVUW6xWVgNmPo2aIcIIumghQeMh/BLDOzOrVq2XTpk007v5TL1sUhQBH8FHABP2wndGCrszQFqTq6mrJysrStZqsFwnEJGDnN8komphIedLrBBAxg4SIGRp3r2uT9bdKgAbeKjHm9wwBM2IGFTYjZjxTeVaUBBQQoIFXAJEi9CSwYsUK6dChg56VY61IwAUCNPAuQGYR7hNAxMw777wjixcvdr9wlkgCmhBgFI0mimA11BFgxIw6lpTkbQKMovG2/hyrvZ0Ze8cqY0Ew9lPt2rVrs4gZr7bFQrOZNQAE7PRjumgC0DGC0sTwNWYYMRMUrbOdsQjQwMeiw3OeIWBGzISvMeOZyrOiJOAQARp4h8BSrLsEzIiZOXPmuFswSyMBjQlwklVj5bBqiREwI2awxgwTCZDANQI08NdY8JMHCTBixoNKY5VdI8AoGtdQe6sgOzP2brcwUsRMpDp4oS2R6s1jJBBOwE4/pg8+nCA/e4YAI2Y8oypWNIUEaOBTCJ9F2yPAiBl73HhV8AjQwAdP555vMSNmPK9CNsAlApxkdQm0X4ux4xdMhoWTETNutyUZDryWBBIhQAOfCCXm0YIAI2a0UAMr4SECjKLxkLLcrGqio9lE8yVb90QjZiKVk2gdE80XqQweIwGnCdjpn/TBO60Vyk+aACNmkkZIAQElQAMfUMV7pdmMmPGKplhPHQnQwOuoFdapiQAjZppQ8AMJWCbASVbLyHiBWwScjJhxqw0shwRSSYAGPpX0WXZUAoyYiYqGJ0ggYQJ00SSMKrmMNTU1yQkI0NWImBk2bJhs2LBBunTpEqCWW2sqODGRQCwCNPCx6Cg6t3nzZunfv788+uijiiT6VwwjZhLTbWFhofTu3VvQt5hIIBoBW3Hw0YTxuL8IhEKhuA1CbK4Xkp/a4gXerKMzBBLpx+ElW/bBWy0gvLCgfj5x4oR86UtfkldffVXGjx/vCQxWDLeqPrFkyRK5ePGiLF++XCmjVLRFaQMiCMPI/Vvf+pa89tprMnLkyAg5eIgERCyP4AnNHgE7b6HZK0nNVYnWN9F88WqFiJm9e/cKdmVq27ZtvOyWzidax0TzWSrcwcxeq6+DKCg6CgHLI/gocniYBGwTYMSMbXS8kARiEuAIPiYedSe9NtpKtL6J5otGEpEgeXl5RsRMVlZWtGxJHU+0jonmS6oyCi/2Wn0VNp2iEiTAKJoEQTGbegJYhgDGHW+rOmXc1deaEknAOwRo4L2jK1/VFMY9Pz9fpk6dKkOHDvVV29gYEtCFAA28LpoIWD1KS0ulQ4cOMmfOnIC1nM0lAfcIcJLVPdYsqZHApk2b5PDhw0bEDKGQAAk4R4AG3jm2lByBACJmli1bJjDyqsMhIxTHQyQQaAKMonFJ/V6LeEi0vonmA2Y3ImYiqTPROiaaL1IZqTjmtfqmglHQy6QPPug9IMn2J/oWqxciZhJtS5LIeDkJuEaABt411MEtiBEzwdU9W55aAjTwqeUfiNIZMRMINbORGhLgJKuGSvFTlRgx4ydtsi1eI0AD7zWNeai+jJjxkLJYVV8SYBSNS2r1WsRDsvVNVcRMJHUm25ZIMnU45td26cDWL3WgD94vmtSoHV6ImNEIF6tCAo4RoIF3DG0wBTNiJph6Z6v1JEADr6dePFsrRsx4VnWsuA8JcJLVh0pNVZMYMZMq8iyXBCIToIGPzIVHLRJgxIxFYMxOAi4QYBSNC5BRhNciHqzUV6eImUjqtNKWSNfresyv7dKVtxfrRR+8F7WmUZ0ZMaORMlgVEmhBgAa+BRB+TZwAI2YSZ8WcJJAKAjTwqaDukzIZMeMTRbIZviXASVbfqtbZhjFixlm+lE4CKgjQwKugGDAZjJgJmMLZXM8SYBSNS6rzWsRDtPrqHjETSZ3R2hIpr5eO+bVdXtKB7nWlD153DWlUP0bMaKQMVoUEEiBAA58AJGYRYcQMewEJeI8ADbz3dOZKjVvuT+rliJmWbXEFIAshAQ0IcJJVAyXoXgVGzOiuIdaPBCIToIGPzIVHGwkwYoZdgQS8S4BRNC7pzosRD16MmHFJnVoU48U+pQW4AFWCPvgAKdtKUxkxY4UW85KAngRo4PXUS0prxYiZlOJn4SSgjAANvDKU/hHk5YgZ/2iBLSGB5AlwkjV5hr6SwIgZX6mTjQk4AY7gA94BWjZ/37598sQTT0jbtm1bnuJ3EiABjxFgFI1LCmPEg0ugA1QM+1SAlG2zqRzB2wTHy0iABEhAdwI08LpriPUjARIgAZsEaOBtguNlJEACJKA7ARp43TXE+pEACZCATQI08DbB8TISIAES0J0ADbzuGmL9SIAESMAmARp4m+B4GQmQAAnoToAGXncNsX4kQAIkYJMAlyqwCY6XqSdw4cIFOXfunCG4a9eufJtWPWJKDBgBGviAKVyX5tbU1MixY8cESyNUVFTIG2+8YVStoKDA+L+kpMT4f9y4cZKVlSVDhgyRwYMHS5cuXXRpAutBAtoT4FIFLqmIr5WLYIS+bds2Wb16tWRmZkpeXp706dNHbr31VrnpppsiagKbjrz77rvyl7/8RXbt2mXkmTp1qowdOzbwI3z2qYhdhgfDCNDAh8Fw8mOQf4ww7Bs3bpSHHnpIVq1aJePHj7c9Ej906JD87ne/k4ULF8q6detkwoQJgTX0Qe5TTv5W/SSbk6x+0qaGbSkvL5cxY8YYNTt//rzMmTPHtnGHkH79+smCBQsEsuDiGTFihMDoM5EACbQmwBF8ayaOHAnaaAu7QmHZYfjaly9fbvjRnQAL4/7AAw8I3DYzZ84M1Gg+aH3Kif7jd5k08C5pOEg/RvjNFy9eLN27d5dHHnnEcaNrbjEIVa5cudLx8lzqMnGLCVKfiguDGSISoIsmIhYetEsAxh2Tp3379jVcKW5sHIIyXnjhBaPM/Px8gcFnIgESEOEI3qVeEITRFgzrxIkTZdSoUYav3SW0zYpBhM7hw4cDMZIPQp9qplx+sUyAI3jLyHhBNAIYPafSuKNemMTt0KGDYONwJhIIOgEa+KD3AEXtx2bdSJjoTHWC/3/9+vWCCB4mEggyAbpoXNK+nx+n4XfH0gK1tbVJhUCqVAWidyZPnix79uzx7aSrn/uUyr4QZFkcwQdZ+4rajsiVsrIybYw7moXlDRA6SVeNIiVTjCcJcATvktr8OtrSeaSMN2hvvvlm46WoaEshuKR+R4rxa59yBFZAhXIEH1DFq2r2K6+8IvPnz9fSDQKjjqURsEwCEwkEkQBH8C5p3Y+jLXOEfOXKFS0NPFRrxuXv37/fJU27V4wf+5R79IJREkfwwdCzI62sqqqSoqIibY07Go3lhfHSFdercaQLUKjmBGjgNVeQztWDgcdiX3YTXkrCKDRWOCPOxcsTr3wsLXzkyJF42XieBHxHgAbedyp1r0GbN2+WO+64w3aBubm5xrUvv/xyVBnPPfeccW7gwIFR88Q70atXL9m7d2+8bDxPAr4jQB+8Syr1m78U/ncsA5ysbxtrw2/ZsiVipIsZXw83EJYITib5jT9Y+LFNyeiY17YmwBF8ayY8kgAB7J2ak5OTQM7YWWbPnm1kwLZ9LdPu3buNQ8m4gUyZgwYNMiZcze/8nwSCQIAGPghadqCNiJxRkYYPH26IwdICLRN89DDMQ4cObXnK8nfcjFTV2XLhvIAEUkSABj5F4L1e7MmTJ42NsJNtB5b6hQsGbhq4ZMyEqBdsxI3Fw5hIgATsEaCBt8fN1lXwmfrl79vf/rYtBpEu+trXvmYcxqStmbDvKtI3vvEN81DS/2dnZ/uGP/oREwnEI0ADH4+QovOhUEj89Ldz5045fvy4EjrYZ3XcuHHGCpAQiHXlsal2QUGBqFxioLq62lc6QH9iIoFYBGjgY9HhuagEunXrJhcvXox63uoJ7AIFlwxcM2ZII4y+qvTBBx+oEkU5JOAZAjTwnlGVfhXFQmOqkumKqaysFMTFY3K1f//+qsTLmjVrHNv4W1klKYgEFBO4XrE8igsIASzHi4lRVQmuGLhkEE2DkTwWCVO1nysmb3HDYCKBoBHgCD5oGlfY3lmzZild4wUuGRh3JLwApSq9++67SuWpqhflkIDTBGjgnSbsY/mIYVe5xgvi3TERij8sEqYqYVenZJY6UFUPyiEBtwnQwLtN3EfljRw5Usy9WFU1C64f/KlKiMhB+CUNvCqilOMlAjTwXtKWZnU1R9k6L8V78OBBY0kFleGWmqmB1SGBqARo4KOi4YlECGAtGZ13TCopKTFi7BNpC/OQgN8I0MD7TaMutwd+eCwUpjJkUlUTXn/9dUOUirVsVNWJckjATQJcLthN2j4tC5tyYN328KUGUt1U+N6xCuXzzz8veFOWiQSCSIAj+CBqXXGbsXHHLbfconzCNZlqlpaWGqGRNO7JUOS1XifAEbzXNahJ/c3NrXUYMcM188gjjwjCI1W9LKUJZlaDBCwRoIG3hIuZYxEwDStCJ80Im1j5nThn7gJVW1ubsjo40S7KJAE7BOiisUON10QkgMnMFStWCBYOC1/bPWJmBw6aTxFYzyZVNxgHmkWRJGCbAA28bXS8MBKBcCPvZmQNnh5wY8ENhlEzkTTDY0EkQBdNELXuQpthcIcNGyZlZWWG4XWySCxQhu39dPD/O9lOyiYBqwRo4K0SY/6ECcBlgi33sPRAfn6+crcJnhDwIhNScXGx0s1BEm4kM5KAxgRo4DVWjh+qhnj07du3y7Jly2Tq1KlG6GKy/nEYdqzvjhesCgsLBWGaTCRAAq0J0MC3ZsIjDhC4cOGCbNu2zXCl9O3bVyZMmGAsAJboGjF4GnjzzTeNzUAOHz4s8+fPl7FjxzIM0gFdUaR/CNDA+0eXnmgJRvRYAAwx6njzNTMz03DhDBkyJGL99+3bZ4zUcRJPAHfeeScnUSOS4kESaE2ABr41Ex5xkQBG5tiQ469//WvEUnv06CEdO3ZU7r+PWBgPkoDPCNDA+0yhbA4JkAAJmAQYB2+S4P8kQAIk4DMCNPA+UyibQwIkQAImARp4kwT/JwESIAGfEaCB95lC2RwSIAESMAn8fzbRR113wfvqAAAAAElFTkSuQmCC"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A current is observed on the ammeter when violet light illuminates C. With V held constant the current becomes zero when the violet light is replaced by red light of the same intensity. Explain this observation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation of photoelectric current <em>I</em> with potential difference <em>V</em> between C and A when violet light of a particular intensity is used.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The intensity of the light source is increased without changing its wavelength.</p>
<p>(i) Draw, on the axes, a graph to show the variation of <em>I</em> with <em>V</em> for the increased intensity.</p>
<p>(ii) The wavelength of the violet light is 400 nm. Determine, in eV, the work function of caesium.</p>
<p>(iii) <em>V</em> is adjusted to +2.50V. Calculate the maximum kinetic energy of the photoelectrons just before they reach A.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about electrical generation using nuclear power.</p>
<p>Exposure to radiation is a safety risk both to miners of uranium ore and to workers in nuclear power plants.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why uranium ore needs to be enriched before it can be used successfully in a nuclear reactor.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) One possible waste product of a nuclear reactor is the nuclide caesium-137 \(\left( {{}_{55}^{137}{\rm{Cs}}} \right)\) which decays by the emission of a beta-minus (β– ) particle to form a nuclide of barium (Ba).</p>
<p>State the nuclear reaction for this decay.</p>
<p><img 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" alt></p>
<p>(ii) The half-life of caesium-137 is 30 years. Determine the fraction of caesium-137 remaining in the waste after 100 years.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Some waste products in nuclear reactors are good absorbers of neutrons. Suggest why the formation of such waste products requires the removal of the uranium fuel rods well before the uranium is completely used up.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about simple harmonic motion (SHM) and waves. <strong>Part 2</strong> is about atomic and nuclear energy levels.</p>
<p><strong>Part 1</strong> Simple harmonic motion (SHM) and waves</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Atomic and nuclear energy levels</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A particle P moves with simple harmonic motion.</p>
<p>(i) State, with reference to the motion of P, what is meant by simple harmonic motion.</p>
<p>(ii) State the phase difference between the displacement and the velocity of P.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows four spectral lines in the visible line emission spectrum of atomic hydrogen.</p>
<p><img 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hPVrdt3zSwJjXvVHKwyf+K3/FdijY9pb+kfVJA7Un1HzFbp/gqtyhqo4TP/pL0NzG2e2Hq0fPfWVsOEHJ+kdI1c/LugJJjpufXKw5q+5HNlFa9Q/qC0Rg2TVVKaBmRNVPbt87Ru97taPX9cUCLM9C6bfo+ermA4ZGv7jlFfBBBAAAGbBILntzV9sUun36uVh7vo6ruL9KZ1o+mvazR3bC+pvFhzsq7RFbcVN3gdF/e5uTnqYhMjYRBAAIG2IkACrCUcSc9wq6VS7pPKj2tSzpbQiBZeh4Qa71LR0AwNzLpX84vLg4Z/mp4+z07WkDGFqoiUBEtoPVq4eWusXiKPj5UEW7JSCwb658uzQHapYOwPNX9bVRw6qcoYO1slrzyhm3r5ntBqJtp/ePafzMBKXggggAACCCAQKlDz33/RW/75bTuNU9FWk/CaOEBd/M95SsnQmPlFWuyZusC6WfWQ7l66M4YpBhp/bm7+uoS2ns8IIIAAAqECJMBCRWz/7B1u9aiyNC+rR+N6hdhex9YeMNHG3ZX9xx1miNoObVr6K+WaO4fBveVqtj+uvLAXT4muR2s/Li2t/gk+Pq5KvTpzku49OFJz5/+wtudWTZkKRg3X7fUmx2+cR1LadXrwsXs0qJP3W1ezZYNer4qUcW1cmWyFAAIIIIBA2xOo0d8rKuXvJ518wX+qV9h5Ws3UBXk/V6bntGoeYDP/ET0f43m14XOzfXVpe8eRFiGAAAKJEyABljjLOEqyHoX8oCbMl6Ys+JHS/Xej4iip6bv8mzqecWIji/lclbv/Ftg2+oT5gc0cetOcxieqS+YPlTN/jd5eO1OZvoSE5+l/zzyv8jo5ieash0O0bSpsgo9P9Z81f8Qw5ZReoEXLZmrM2F+ZnlvzAkkryZoc/ydxz+GVlDZK+dOu8iZea97TO//dGgYht6kvDI1BAAEEEGhlAkmpHXRqpDqn9tW1V/h6bNds1frXDkTaMuLyWM7NzV2XiJVkBQIIINDOBUiAOfkF8DwKeb2+nftL3RLXE2kSWfkUpXU/01fgMe3e/fegoX3R4iTr9NRT1WK/SLYYJynFPPlvwezR6uSnOlChyuqgDJgt9fAH52fMAok8PmYYZVFWjgrKO2rM7Cka4LvbnJQ2Vk9ueEY5/uGLVhIs7jm8kpR61RD1D+56GHOj2QEBBBBAAAEEvAJn6crrLvL16I/3CeeJOjcnoi4cVwQQQACBcALfDLeQZfYI1Gx/VS/sr9ax/GvVPb8RMctna2CX2d4Ne83Upj9OVJdG7Na4Tf5FZ3c9x5z4d3kSX/4nO6aG3fkLHanydyg/Wd27frvFDt20z9gkwa4cpWGdV6tgn5lsoqZahz/7PynV263PvnqEPWAsbEAgccfHPOJ83SN6eLvpkdV5vG688oy6kVMuVe6yAmmClSAz2/jm8Brx1EiF/12ru3udT6nf1yXnn6jS8jpL+YAAAggggAACHoFv6JSOKZ6kln8asMgwSTq1QwfP9WzD20YuRRHPzQ7UJUo1WYUAAgi0V4EW23GnvR4Q59pt7lr1vkg9fBWI+mRH1z+154PPfVt20yW9Q/7Id64RzkZOOl+Dbkjz1uFE82jtznTPcfaAOBG9QmufecOTRD7xsov1/XDDmj1JsIUa45/D682/qLwpV9vJPXXxf/gmxXeiycREAAEEEECgRQqYm5PnpussX938N3cjVTU5rau6eVYmYHRDvXOzg3WJ1GCWI4AAAu1QgB5gDh705Mx5en/vvOg1qNms6T2ztMrqcJXwXl8hoc/urx/0PkXvWb1XdmzV9qosdfH1YKqzZfVH2n3A+xd7cu9BGnB2y0302GucrA4dT/NQJfe7RL2CWOytR52jxYdGCCTs+NT8XXt2Wb+sJ6pbt+/6hlKEqUBKP904Ik2rFu8Ks7KRi1xHdfiwS8lXDNGV4X5PG1kMmyGAAAIIINBWBZJ6Xa3rOz/l6Z1f88FufWxmp2j4lNmE0Q1Rzs2216WtHlTahQACCDRBgB5gTcBrc7smddOI8X29f7TXfKQ9H38Vtomuj3drlyf/laL+4693ePL+sFV0aGGNjhz+1MQ2Ltf1jX1Im0O1JmwCBb5xqjqebmU+G5pH7yR9/6ILTZrMvE7vqJSY/09sJu1/vUTP7/uOho/vz3ctgYeQohBAAAEE2pBAcO/8faXaWP5FxMbVVO7Rbmtt8kW69ip/v7GIm4dZ0cC52da6hKkeixBAAAEEWu7c5RwbJwTMMMjhv9DdpheYVKnnV7yp6nrV+ELlr5Sa6bvN9UHvn2r68O/U26LdLnDt0MYXKnFpt18A0/Cgi9tjb72j/wl6DkJdFpc+O3JEpv+WOt9wtXqFGypZd4c6n1yVJZo+c600dpamZzIEuQ4OHxBAAAEEEAgInKSMnLt90w5Eura1Nj6o/9rwF3P76hRl5P5CwxruJhaI4H/T8LnZvrr468RPBBBAAIG6AjH3O6i7O59ajYDriI58FvGv8dpmJPXQLQt+pozkGu1fu1SrK/yT3Xs3cVUsV36RGbaV3Fd3L/hRO+n9Ze7olc5Uvy5p6jF0plaVVdV6Bd4dU8XSh7X0+DWavbC9uAQaz5uAQNDF7T7zu7J0p0lyhXmZp04uWPCaajqN1v05F9Z5iISrsli39+2u9G7DNL1ws/YGF+Cq1ObCPI0afI/e6/WAls8ZZPob8kIAAQQQQACBiAIpmZrueVK3ubYtztfc0oMhm5rrvG3L9Njaj8xNzJ9pXlaPOudla+OEnZsTUJeQyvMRAQQQQCAGARJgMWC1rk2tk/kLenGHL4Flnja3rOidMD266rcqKT1LRc/doZ56Ww9PmadXK60yTHllhbp9/AKVpQ7SjOJFyk73DOCqX0CbW/KVKrdu037TrpryFZo+YrgmPryxNjFRXaZVuTcr6+1Mrdjwa41May8ube5AJ6ZBKYOUv+IhDep0TGX5YzUq9zmVVfuzWMe0t7RQ0ydM1bozx6tgxX0akBLS/au6Ujv2mzHGNeValZ+lgenmgQom+er5l56p7Pk71SN/pV5aMlZdQnZNTAMoBQEEEEAAgbYkYCagz7xPyxf+QJ30kVblZGt6cZnvmrhKZcX36ic3FejgFTO1YmlW+Ju7CTs3J6AubenQ0BYEEEDAZgEmwbcZvPnD1Whv4XgNzN8aEuqo3lt8s/osNosbnEzfnJz7TFXJK721rHi5fjngfOVYpXUaqJzbCjTrxwPa2R/eplfP3U+qKClf9yzaZBJh+1S66Dbzz2dyaz91HVeo1zNSLSVeCCgpbayefPMibX7mRb28brZGXzgjoJLca6ymDH9MGyL8HiVl3KlnlnbUk79+XKvKzQMpPK9k8+t3i27p11dXR9gvEIA3CCCAAAIIIBAicKK6jHpcW3qP9FzbFuWONDcvrU2859fsgpc1ITOtXs8vfyGJPTc3rS7+OvETAQQQQCB2gRPc5hX7buyBAAIIIIAAAggggAACCCCAAAIIIIBA6xBgCGTrOE7UEgEEEEAAAQQQQAABBBBAAAEEEEAgTgESYHHCsRsCCCCAAAIIIIAAAggggAACCCCAQOsQIAHWOo4TtUQAAQQQQAABBBBAAAEEEEAAAQQQiFOABFiccOyGAAIIIIAAAggggAACCCCAAAIIINA6BEiAtY7jRC0RQAABBBBAAAEEEEAAAQQQQAABBOIUIAEWJxy7IYAAAggggAACCCCAAAIIIIAAAgi0DgESYK3jOFFLBBBAAAEEEEAAAQQQQAABBBBAAIE4BUiAxQnHbggggAACCCCAAAIIIIAAAggggAACrUOABFjrOE7UEgEEEEAAAQQQQAABBBBAAAEEEEAgTgESYHHCsRsCCCCAAAIIIIAAAggggAACCCCAQOsQIAHWOo4TtUQAAQQQQAABBBBAAAEEEEAAAQQQiFOABFiccOyGAAIIIIAAAggggAACCCCAAAIIINA6BEiAtY7jRC0RQAABBBBAAAEEEEAAAQQQQAABBOIUIAEWJxy7IYAAAggggAACCCCAAAIIIIAAAgi0DgESYK3jOFFLBBBAAAEEEEAAAQQQQAABBBBAAIE4BUiAxQnHbggggAACCCCAAAIIIIAAAggggAACrUOABFjrOE7UEgEEEEAAAQQQQAABBBBAAAEEEEAgTgESYHHCsRsCCCCAAAJ1BKrLtObJPA3vdqmml1bXWdUuP7gqtXnpHE3s20vDC3c5RHBIW3//c/U/6QSdcEIP3fTsLrmaoyaubZp/+cWaWPKP5iidMhFAAAEEEEAAAQQSIPDNBJRBEQgggAACCLRbAVflZj29+Nd6uLhcNR6FTurRbjVMw61E4HPPadnCYr3nATlRPZ3wcO3Ss+OHavzKD3zRP9DKB5dr6o0P6KKkxFbIVf6qXjpwoe686qzEFkxpCCCAAAIIIIAAAgkToAdYwigpCAEEEECg/Qns0tN3PqAXd37iS361P4G6La7W5tnTtGzrxzrozQbWXW3bpy+164lZKuw4Xe8cPi63+6DeeexGnfvBn/XnvV8nuBZfqPyVN3R8xBhlpiY4s5bgmlIcAggggAACCCDQngVIgLXno0/bEUAAAQSaKNBd2X98Tev+WKIFA1OaWFYr273qBc1fGjq0MUUD5r+qdU/9QX9cOEjJDjXJtetp3bfnJ1rz25/oog5WUup0XTT5Lv3wvGZIULl2aOML0rBx/dTOvgEOHV3CIoAAAggggAAC8QmQAIvPjb0QQAABBBAIEjhDvft2C/rc1t9+obKiIr0VcUKtJJ3aoYOaId3UCNgDenX5Ud3ywBB1CN466TSlnpH4mR88wx/VX4N6nRQcjfcIIIAAAggggAACLUyABFgLOyBUBwEEEEAAgZYu4KpYrvyi0N5fLaXWZ+maB/J0jafnV0idvtlRp5+WyLTcQW1ZsVG64Wr1SmSxIdXmIwIIIIAAAggggEDTBUiANd2QEhBAAAEEEGg/AtV/1sIpj6vM0Tm+4uD++mPt/OBkpZ6awExV1Rt6dm2Srh98vkO93eJwYBcEmiCw8rmV6nXB91VUWKj//d//bUJJ7IoAAggkQuCY9pY+qttz16kqEcVRRsIEPA+JKizQ/Fv7K/3yeSqLOGogSkjzlO1HbpupotLKhD3FmwRYFG9WIYAAAggggECtgKvyT5o1IUcF5UdrF7aWd59V6eB5PdT1W4mqsEtVr23QG2dlMvwxUaSU0+IFjh79TJ9//rnm5M/WZZf0JRHW4o8YFUSgDQu4KvXqzJv14+XSjZOGKLUNN7XVNa1qjW4fnKWH8ueqYNO++Kuf1Ed3zrhclb++WaNm/kl740mihUQnARYCwkcEEEAAAUvAPM0v91Kld0kL+Xe+hhd6h77VlObpgnrrvdtfkLs56KmINdpbOLZuOT3ytDm0B5G5kNm89HFNH9oraNvu6nfrHBWVlJkahb52qWjo+UHbBte1tp6BvSoLNbxOfcNsY20cth79NXHeMm2uPBYorklv4onh2WeOJvbtFTgGMvc7y0qeqDXrNkzTCzc34gLB2q/Qe1cuYGLKzX1cT4e9y2a2L7xNVwyYrOcCya9jei//mlr/cMe0HpIVd55pQ3fvflZ9i8Md23o7NnHBAb1832y9dPrpOq2JJdXufkCv/+mvOive4Y8JO56134Ha3zuXqsvWBB1f69g+p7Lq4CtH6675sqBtrN+1RxP3Ha+F4l0bFSAR1kYPLM1CoDUIuCq0ZtIt+uWhm/TMkikakHaiI7V2lT2np8u+iDG2mUd1qTknB5+SYyyhxW+eOlKFu/fonQQ8ECkp7TrlL3tEl/3PLI2fVNyIa9wGdNy8EEAAAQQQCCtwyL195Qz3sK5d3OeeY/270p236ZO6Wx7/0L1xxlD3eZ711jaXu3NW73Efr7uV99ORV9x5l/RwX5a1xL39SMgWR95yz7uhZ93965TdzX3ZtFfcR+qVG1rHLu7zbnjY/W5o+YH9PnGXTruybpzAOrf7+Icr3TmXXOgeNm2Fr47H3Ue2r3Dneepm2td1hHveu4eC9vC//dpduWSMKdcy6Guc6tfUv2XMMY5sd5fMvdV9WcC4h3vYkg9MZfe4SyZe7otpxfX/i2Tlq8GRd92FWdZ+l7uzl7zrM63vWFueL55v96835bq/54lVd7m/ff6f9baLWN+e7lFLdoT/zvgLa9LPL9x7lk9wnyu5T520wf1Vk8oK2vlQiTu762D3vO2fBy1sxNtEHU+rnMW5Qb+fXdzfm1bq/tptjuWSiUHfF//3wvy8ZIa71PO7ccj97twR7trf2+Bt7nCXfPhlIxrCJu1RoHDJkqD/1wR9b8z/E3p+7wK3tf7o0aPtkYY2I4CAbQK+a7nAOc22wCGB/u4uyRoT+3WAdf1w5Vz39pBL4ZDC28DH4+5Dqyd6rzX6JaC9nr8jzDX63LfC/D3QeC56gDWQIGQ1Aggg0H4FUpUx9h79Mru7j+Bf1LHDyXU5ktJ09a/uU1bnZO/y5PM1+Kou4edDch1VVXV/TZ2fpYyU4HmY/qE1U3/qGVaXPHCK8kele/f3lD1Pd/c+xZRdo/3FD2tJvbtsVh3v08LcvvLVQEk9eqtXnfKDq3yyUlL/TZ3MPnP9cXyrXZXFmjxujg7dukIl82/y1TFJKRk3ae6yhRrTyUSoKVPBTXeoqCK+nmCxx7BssjRt8SbtD26G6/+paMxPtT59ilb/dY8q9u7RtpI71NODYKzWrlJpVZhbi9Yd09y7NGfTAY/Bgol9lOIpN9Qx2axfom17K03ZO7Ruov87EFyJGN679pg7tTO0vvt92lRhlRlc36Mqm/+Ing9X3xhChN/UpSNvL9BPspfpQ52qXj3OVmJGQMY7/DFRx9NXztxivVenJ+VBbZt3l/J3Z2qR/3uxdqYyre+u9dq/Xs9uet9sM0m/2NVfizfvMMfCHI+/rtaMgZ1927ysx4rfT9hcG95C+W97EKBHWHs4yrQRAacFTA9nM+fXPcWfKnPaHRoQ8XqvuetpelGXzNHCTZ/GFsi6DpvxqEqPx7YbWxuBFDMa49Ye2rl4huaWHoybhARY3HTsiAACCLQHgZOUkZ2jTM/fz5V66ZUd9f8wTjpfg25I82LUvK1n1+yuv41ZUvXaq9o1dIwyU4OTX2a3ype0bJN3gGNSageTpgh6JZ2tPpd827fgMx0+8nXQSv/bE5U+coz6+/7GP/bWO/qfMLkfz9auHdr4gjRsXD9f4sdfxj/0/ENztFHXavKYbvUTeCn9dOMIfxu36fer40kQxBPjOxr5VJlJUryv1ZP8SSgz9HDhMh2e9awK80bWJur6TKpNVtZs1frXDvgbF/jpKl+tx16x5mJIC2NgHLPu9iUzoyTRAqU19o1V3yLtyVmswrsHqYvn8JvEYp36vqd3/jvx84q5Kp7VpPFz9V9fWnU9WZ1O/7fGVrqB7eId/pio4+kvp+7wgmNrl+uF3g9qZZ0EbpbmTrvKlyCuVunUyXqyY56efypoyEhKH2XPn+L7Pa/RvhdeVXmk36EGZFiNAIkwvgMIINBsAq7dWr3oRe3vdK1uHnhWs4WJXrBJfm2cp7umm3pE37DuWjP1wav3/kIzPddhdVfxqTEC/uv9j7Ru0TpVxHmdQgKsMdZsgwACCLRngdS+uvYKq59QpD+MTZJs7Gj19BiZ3jzPPB/mj2crYXBI19dLPDUEm6wOHf2zNlVrZ8Un4XdI7a+bR5zjXbdvvVa+Hv7OkKv8Vb2k/vUmLXeV/V6PmSRc8gX/GaH32L/o7K7n+JIIkRzCV82/tGkxTtL3L7pQ3hkuTlTP3LnK7RM63WvwNsd08HDoE9q+UPkrpfJORXqaOqb4Mob+Clo/k76truf5evnVfKQ9H38VvDbO942pb5RjG2dUuf5HT2T/Qis/NNmvc4do9OVn6QzT+y8hr6q3tX5LhyY8/TH4WDXGJ9zxtFqSpFM7dAgkbE8ccZfuH5QW+Oxta5JSe1+kHv6G95qgWYGef/6F5mfKOep2lu87ceiwqv8vaB1vEYhDgERYHGjsggACUQRM76/Xl+np7UcjXK9Z81+uMw/nsOZLPV9XztsmV2C+Te/coz2GztSqsvDPi/Q8tXBetvoF5kYNN/9rlelFfbOGTPydrwf2LhWMuMA7r2m0Jx2aJ2jPHzFMOc+We+fI3fekRqdbc9d299Yz0OrQ+TnNNn2zNX9pY+Z3DRRi3lgWz9XOEWvKeMTM8VpT9oRmlfwjeEPPe6vtRbnD1MPf9ohzylr1K6wt17O95bQmZJ7ReiHCL6gu05on8zS8m38e3wbK8v1NUrN9tUrKY517zVsFEmDhDwVLEUAAAQQCAmfpyusu8iZ/9pVqY70TjundtX2rdvq3D7eNlTCo6FMv8eTZ5ez++oE1zDE5Qz++sVdgKKO/uMb9PENXjLtW3kFc5s7Q8jfCPA7b9MBatF7dp/xIGXU6odXob+9u8ySGajZN1cX+k3+dn1118dSNtRP7x5wgsCNGQ1Jfq7rqswY2OkkdUr1pNilSj7sGimgRq82k9z+7SXe+dkj616t03/J8jejUVT26+pJ7TapjvMMfmxQ04s7JaV3VLeJa34rOpu3+wxpp26RT1LFjnV+MSFuyHIGYBEiExcTFxgggEFHggEqXrze9rpJ1VvdzQnrym5RP2cMaNmKKeUrtEpXuN92Dqt5S0cOvSAOmqPDtHdq2dJxSy1do+qSF2lznoTAmWbRtoUYNvlPPfzpSyz1TNezQpsKrdbDol8oefLPmb/MnzVLVJ2+NuSG7Wjme6T+6K2ft+97pBP4rL+T6MqghKZcq94/l2rX2du+1aufbtdoTZ5dez+vju3HlS67llOjTm5ZplzVFQUWpCjIPaumDWRoyYqG21al3UPkhb10VS5U9boWSfva8t5w3Zylje76uGlGkureSfW2/9tfa85/3621PzFe1YMBhrcrP0fgZG4MeQnVMFYW3aEjW49rZr8A7TYZVv5s76o3FUzUua2lMvbKsaUFuHzJF65PG6ne7fW31lzXh1xHamqK07mea1kYYlRLiEO7jN8MtZBkCCCCAAAK1AqYHyVVDzBDDjSqt8Z5wpmb4T9ZmK9df9dTj0pTpA/Xo3E0mSRS6jXf4Y8W1t6pXuL+vk3ooe025smsDWoWaO1cvaPUrL+rpxVvrrIn0IanXMP2o93LNMXcGa7Zs0OtVwzQyeLillYR7s7uunR/aZf5zVe7+m6fYE8cu1V/nD4gzCRepZtZyO2JEix+67lMdrrYmjwrTCyyw6b+ra1oiEkaBAm1686V2/eYnGrH4fRPvPN1YVKD7+rr0xKGTdPpp4b6AsVbLP/wxJ/z3Odbi2sD21tNieSHQkIA/ETYnf7befPvP6tSpU0O7sB4BBBCoFXD9U3s++Nx8Plndu347pLez6ROdkafX9/5Ia269XtM2fa7j1WfpmjljfVMvmI7OV47SsM6rVWBGCjy7ycwfNuo73rKrSzV3coF2XjFXb86+Tt7+9Seqy6B79LuCr3R91grP/K8dNzyt7PSG7ibVVje2d+a6t3Shfr64Uv0XvqT8Qb66WfPhzi7S4uNjlF28SOOzTtVLqyYqPerljOnxv3q1yk7P1KxMX69wU86Au+fooU+y9WxQxTyJspue0Tdzi5U/tofXNKmLrrzmfCWboZqe+XfN6I3cjJPMpfn7Knlmm7nOT9Nlg//Dm4C06jf1x+q/aqpK39uq/67OUnrwtXdQrDpvXTv19NQ52mEScqWmV7qnOZ62LtbsA9bxK9AvCq5SaSA56N/bPyJjl3e6hrv7RE46+ncJ+UkCLASEjwgggAACYQR8XY5LzTBBz/xAQSccV/lr2n5tjpZPlD79wxZzYeEbIhjYxjv8ccgd59e7WKkfqUplJc9p5TMFWmfm45oyfIwemv6Zsuc2IgmW1E0jxvfVw9tNT62a1/RY0V81LHDi9CXhbsnRsHon5i90pMo7qb2r6ojp9yTfxU/92sW/xI4YDdXuFPW6pKeSi/eHSVL6962tpzr3UZ+zoyXI/Pu0pJ9m0vuX83TtnRv0pf5V55q7vItv7q6kr1/Wzg9O1rBTo14xNq4h/uGPjfo+N67I1r6VNZE+r/YhUFRYaHpXzG5SY2+6eRzJryYJsjMC7VPAM42FucaUzlS3c72P8Ikm8c30dP178GnfP83Dvs+1a88/za3W75jr0i9UVvCwVu0/2Uyq3zfk+s/MV3rlBN3S+0Vzc9U7/+stgevKaJHjWGduJi+5b7X2J1+lqVeF3qg1oxxyxitj7WyVeYb+jfcmpCKGqVblLtPP68BfTS+tY8oIJO2s0RKD9eqH/h0PakvBcpWprxaMDJ7/1tz4Hp6n2S/v0LTyProo7V+8O/j9jgct8xdl/fRPnZFqkmVRXybZ5xnKeqaG3Rv6t4Gvh9emRiS4DlSo0vSIy6h3XR81uBgCGd2HtQgggAACHoFIwyDNyXPFDvUebE5gwZPhBw+DjDb8MaBrzSnwqJmz4VKNe+Zjdb3reb3/x3nKycpUWvDFS2D7cG/MCXvgGA33PPEuZJ4uq5faox9riFXPerv+rw4f9CbAaj7YrY/jnFSzXrF1FtgRo07AMB+sC5pfBJ6quW9tibaEdqX3JHesBxKcozGmu33doaJhimxhizyT3v+0yDzx0Rr5OFfrH79eHaw6flalg+f1UNdvNbXCLWv4Y1Nbw/4I2ClgJb6snl/5s5uWQLOzzsRCAIE2LuB5OJJ1EydCUi3wMKaQ68oEswSSe2elKy3Mky2TuvTWxZ55Ohsz9M+XRDIPppozcFCd+bmSMiabp637epe5PtbWt/4RviVJ6Rq55A1VvD076EmbvgfwBJZZN62f0PRb7jcjRMIXE37pV6rcus0MZQ2aPy0w7cgFGr14l3c3X4KrbhkmKXluujwpQn/Cre4GDX4iAdYgERsggAACCFiTbXuHQVoWQSffqje0cu8lGtXLuttzknoNzvTNw1Wp51e8aeYN8A9/vDrKcDHfnAdZv9EbZ5qeZMtmK9vfZTtW+uCnNe57Tr9d5z2xWxcWG84c5qtnaKFnKr2H705icOIudLPAZ9OmF9ZpS0wneztiBCoY+Y013HRpgXJ6mTnX9q/QpAkP6dVKX++3yj9pluciprMGLXxK+ZlnRC6nJa45skUP/sQ/6f3PtHbNZHX3Zzs/PaRDp58u/+MU4q++f/hjtO9z/KWzJwJtUSA48cWwx7Z4hGkTAnYImF5DH1ao/vOtmxi7+iPtPhDtgs4/5M7ECZuQaWJ8z+6NaJu/95Xpw39g10dB83KFi28eTpVzv/daz8xwW2rm5xp9YYaG5xZqs++az7NXg20PV7ZZZj1YoNCauH6AHviLdPHPJvueIh1h+3qLfT3UFDR/mulJbvUmr/Nv95K6U5nUKye+BSTA4nNjLwQQQKD9CdR7GqSV3HpTuvH6wFwE3nm4THLFnKD3r12l0qp/eJ7+GL7nlUXon/OgzOzRXVkPTFKfMHe+Go9tknCjRyvDM3KvWm/86W0zGb719MNtSh9fW8+65X1LKamn+hbt0tJfLY8+iad5BPfa9X/TKTGdQe2IUbdVET+lXKzbHviZMnsN1PAzXlXOgPM9Ty/qPmC63u+RowVr1+nJUelhespFLLEFrDCT3s/6qR78L2vS+yF6bP08XdPBn/2Svt6zUx+ckSr/UY67wv7hj2F7EsZdKjsi0CYFSHy1ycNKoxBwSIdB2w4AAA47SURBVCCo508Ca+D6eLd2efJfn2j3h1YPeCdeX+njPR+Z62DzSlSSzTPp/matXni7Mj0jI47qvWJzg7nOhP6xttVcs5cVamK/azTphZN0xyvvaN38yRrZu3XdMI3p8j1WIrZHAAEEEGhLAsHDIE3vqpIXzOT3X2pw8FwFvnm4PPmnmq1av2p15Kc/emj8T/SxPpymjimePZuElpR+vW6+wtujq2bLKq39yxr99oWuunlg6JwK/jDBPddM6m7745p675+0N+xQSHPyf325NpxzWZQebf5yg3/aESM4XqT3pv7bfq2fjCvVJY8u0tynTPf2wB23cu+FTIZ3+tdIJbS85aGT3j+myd3/NaiaLjMC8rD3wjJoqZV8PfTsbbrp2b/VWRr5A8MfI9uwBoFaARJftRa8QwCBli2Q1OtqXe95mqN/XrAo9Y0wPDHKHo1cFXSN2OCwvvBPwAwfKFUZo/LMEzD/XJsIqylTwZ1FKgu+xrWu11+L1LfOPEG98GXvk9WthwVMWmBubvfR3Y/m6eq0pj4QIGhESb0GmGuudcv0fFVwRUM2Sj5HXc/2zU8WsiraRxJg0XRYhwACCCAQJBA8DNL0rnpkod4yT3asO6l83W1K5y7WrmujDRernRvLTKHvezJhUEjTybtyt5nIM6bXdzTsjpu8QzFrtqnwzidUccMoXRGlZ1ltzzUrkLlL9uxk87jpPBWVVpo0ie/l6fI9Uz/56R4NGX1BzD2k7Ijhr2qkn96n/SzS7qG36ceBSVEjbR1++Tc6dNTpnlVmwvnDR2t9wm/ezEuDJ70/XZfft8Q76X2dqC59euiwPj9Y5XnAQWDVkQ26b/HJuuVa31wYgRWR3jD8MZIMyxGwBEh88T1AAIHmFKhNViWwt5aZ4+uiy6zrADO08C/bI9z8tFp1ijJ+PCzGm5+N10hK661LPT21/ql33v048rVVch/9qMFr0H9ozcwngpJcvkTYhic0xorhn+4jMLKjWqULFmlz6Lywpvquii2qOKOneTiASUhtWqV1+2uUfMUYjYjzGtIr4r+hbuZVK8rXwm1VYaDMNdc7R3V2vWt3cyPXPxQ2zoQkCbAw3CxCAAEEEIggkDpEP83u7llZs/8k8xjkMJPKp/bXzSPO8RZgnmZzZ/aFUZJFndWn39m+YGYyzEl5WuOZn8DqZv2cpg8dp8d2fuVb70u4mETUq/cXRp2Dq/YiqUaH9p8aYfJ7X7HWDzM31i0LfuYbOuldXlNerDlmEv7u/ok50zOVnb9WB4dmaXS9E3+NSQZ96iuwWjsrwiTtmhTD9GI6csR3QXRMu3f/PUyPJl94z49w2/gei2362Lt2bld5mAud4BIivU86u5u6e7v4KTCRvnVMZk7RI2VfhNktXF1CN2vMNqH7mHbsekIjRzxuJr03T3y88RH97r4rvJPe199UX75UqMffNkMkzctVsVY/H/pz7Rhzq64OGioZZrfaRQkd/piI4+mtWk3lHu321dL/FNPaSvvefXZEgZuohw/rSCCrG7Sl66gOH/atOGbm4fA8aStoPW8RiCBA4isCDIsRQCCxAoF5sBrRW6vRkX1PWDTXNTXbl6vw9YMhe1o3v7aqptMPNHlM8JMSQzZr6seU/pp4ax8lm5uwZU8ti/CQos/VaUS4a9AwwQ+8opWhbUm5QBdfcLIU6DkVdMPYMy/svVpVVpuMcpm5Ye+bvVsZwSM9TKimPzDKeihTjrKsnndWj7SbsjS9cHNt8tG64fzwHL2SNjBMwtE/XDRZnW+IdoM9jIlvEQmwyDasQQABBBCoJ1DbTTt5YI5uzQj3qGPrMcvXenpgJV8xRFdGfTyxKS8wZ5cJtv9FTfPMSdVVfSaVqusDK7Xqrivk7WRt7hQtHq3u6RO0umem+nmSMPUq6F2QdKFunXKVuZAw5/mI9ay7b1J6loqKZ/rmSqi7zvspWZ0GP6TlcwbJN2V+YCNX5YsqWGs9Rch6HdPOF17QtjAJprhjWPOOLX87kPQ6tmWNXgieyNQK66rQC8+9ZaJ7X/W3+YZO7djRY1JTvkhjL+zqmfsr3Z/gC/nZY2hIDzhfuUr5ni7pac3zZl7mginbKid9mBadNlZZ/u9D9TY9szxaXcy+DdbXEyHyf6xJ72/9lV770mxybrZ+u/jmwFx0dXf6lrpceqnO+/I1PXjpGTrhhBP0za7j9dJ371fR5O9HSc4Gl5Lg4Y8JOZ6mfiGGNVv+oKfq3Uk1D5ko+oPe8EwuYvbZZ76r6ypC7i6bp7Cu+52eDyS9durF4ncbmGQ32If37VGAxFd7POq0GQEnBfwJmygTwVe/r3fe/9xUMkyPrgjrPNdmBePUSR9pVU62Zm309f733NybpJlb0pTzxNSgpyGa4gPJOH+PrYPaPO/xsL2ogsUCNxEP/FXb9porturNmj9vsznfnqj0ib/R4rHmBnKEhxS9cX6OfjMzs941aHD5te8/1qqskZr48EZfYsmaAmOFlm1xKSP3F4HRG0kZd2rprL6+a8MVmj7iPwPXht0HzFHVdTf7RlAEjfAIXEd4b1bPmr3KPNHR//pSe0sWqshzQ/Swyv+yy3vt6m+vf7OkPpr6+4c0yOqRVlOuVflZGpie5o2dfo3u2dVf07N6hLlG80+gn6brw92E95cf7aebFwIIIIAAArEIHH/XPa/fRe7s1X+PvFdjtgnsfdx9ZPsKd94NPd3nntPF/LvcnT23xL39yHHvFsf3uEsmXu5Zd94NM9zF2w8F9oz65lCJO7vrhdHrGa6AI9vdJYtz3cO6WnXx/jvvhlx34aYP3b4aBe11xF06rW9gO//2/p/fm1bq/jpo68DbRsf42l25ZEzE8s+9YYm70kRoeBt/5EPu7Usmui/ztctfz8g/L3fnrN5Tv91H3nUXZnmPybldh7rzVm53H/GEaExdGrONv74Rfh7/wL38xvPc5vrGbSa9dz/2wRcRNvQtNt+hF392udvMDGa2v9w9adk77sPR9whZ+3d3SdZF7ivmvlvfImTL6B8b0/YEbHNerrvUfPG+3pTr/l7EYz3GXfih2ejDJe5hEbfp687b5D2y0dvF2vYisHvXbnfhkiXuf/7zn+2lybQTAQRaksDxHe7CEeZ6setEd8mh4Kuy4+5Dqye6z6t3PrOuAz9wb587OMy11GD3vO2f+1pnXYuudT85bWhtGdb1zeK1tdejIQ7HP3zJPdNz7drNfVnWI+7SD78M2SLcxy/dla/c77vGNNe7C15xVwY3w22u01YvCrom7uK2rkGfXO2/zgpXZugyc80yY5F7+6G617ORr2VNnTYtCYrZ0z1s2iJ3Sb3rbctoiTv7km5ey0tudc/z1OsTcy18pVlmOcz17Hd8+1z3FfWOhWlLVolpYe3r+Iel7qVzb629LrXMl5SGmNRu7/Zc25tyRixx76njFrRNA29PsNZHS5CxDgEEEEAAAQTaioDpDTTvLi3oOEvLJ4a7s+Zvp3VX73ktWfSoCj74gVa/nqeM2ocq+jfiJwIIIIAAAgggYKOAuT4pvVfXZ63X9xa+pMJRjZ3H08YqEqqZBExv/JJJ6jd1l4YvXaW5mfE9fZIhkM10eCgWAQQQQACBliVwTBWFd2jCrhF6Imryy6q1edx4xkjl3jNBPc0E8tX/17JaQm0QQAABBBBAoD0KmOuTzKn6zaQ0vRFh4vb2qNIu2myeQrlgwRtKHTtL0+NMfllOJMDaxbeFRiKAAAIItG8B647pg5qQv1c3jM80T/Np3MtVfVif9btEvaLNt9a4otgKAQQQQAABBBBIgECq+ty9QLN7vaFJE34dds7VBAShiJYkYOY8XZObrzd6PRB2Lt5YqkoCLBYttkUAAQQQQKBVChxQ6fL1ZpLSKr2xYWujJjd3VRZr8qSNunh8/0YnzFolDZVGAAEEEEAAgdYlkJSukYuXadH3t2jChIf0auiDgVpXa6htFAHraZSzRvxQy07P1fLFY9WliVNykACLgs0qBBBAAAEE2pZAjfYX36a+5gmPBYV/0OYwF4yuys16+sk8jRr8uDStQPlN6GbetuxoDQIIIIAAAgi0GIGkNF09e6Veuus72lxcam7x8WpzAq5tWjh1nVLvelYls69rcvLL8mES/Db3LaFBCCCAAAIIhBGo3qaiqXdpzqZ9YVaGLOo0SDMWz1F2RmMHS4bsz0cEEEAAAQQQQAABBFqYAAmwFnZAqA4CCCCAAALNJ2A93fEFrX53h/7y1NMq3V8TFKqzMif9UJd0vVijR2UoJWgNbxFAAAEEEEAAAQQQaO0CJMBa+xGk/ggggAACCCCAAAIIIIAAAggggAACUQWYAywqDysRQAABBBBAAAEEEEAAAQQQQAABBFq7AAmw1n4EqT8CCCCAAAIIIIAAAggggAACCCCAQFQBEmBReViJAAIIIIAAAggggAACCCCAAAIIINDaBUiAtfYjSP0RQAABBBBAAAEEEEAAAQQQQAABBKIKkACLysNKBBBAAAEEEEAAAQQQQAABBBBAAIHWLkACrLUfQeqPAAIIIIAAAggggAACCCCAAAIIIBBVgARYVB5WIoAAAggggAACCCCAAAIIIIAAAgi0dgESYK39CFJ/BBBAAAEEEEAAAQQQQAABBBBAAIGoAiTAovKwEgEEEEAAAQQQQAABBBBAAAEEEECgtQuQAGvtR5D6I4AAAggggAACCCCAAAIIIIAAAghEFSABFpWHlQgggAACCCCAAAIIIIAAAggggAACrV2ABFhrP4LUHwEEEEAAAQQQQAABBBBAAAEEEEAgqgAJsKg8rEQAAQQQQAABBBBAAAEEEEAAAQQQaO0CJMBa+xGk/ggggAACCCCAAAIIIIAAAggggAACUQX+P6g1LGNoZwRmAAAAAElFTkSuQmCC" alt></p>
<p>(i) Outline how such a spectrum may be obtained in the laboratory.</p>
<p>(ii) Explain how such spectra give evidence for the existence of discrete atomic energy levels.</p>
<div class="marks">[6]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The energies of the principal energy levels in atomic hydrogen measured in eV are given by the expression</p>
<p>\({E_n} = - \frac{{13.6}}{{{n^2}}}\) where <em>n</em>=1, 2, 3 ..........</p>
<p>The visible lines in the spectrum correspond to electron transitions that end at <em>n</em>=2.</p>
<p>(i) Calculate the energy of the level corresponding to <em>n</em>=2.</p>
<p>(ii) Show that the spectral line of wavelength <em>λ</em>=485nm is the result of an electron transition from <em>n</em>=4.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The alpha particles and gamma rays produced in radioactive decay have discrete energy spectra. This suggests that nuclei also possess discrete energy levels. However, beta particles produced in radioactive decay have continuous energy spectra. Describe how the existence of the antineutrino accounts for the continuous nature of beta spectra.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<br><hr><br><div class="specification">
<p>The Feynman diagram shows electron capture.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Particles can be used in scattering experiments to estimate nuclear sizes.</p>
</div>
<div class="specification">
<p>Electron diffraction experiments indicate that the nuclear radius of carbon-12 is 2.7 x 10<sup>–15</sup> m. The graph shows the variation of nuclear radius with nucleon number. The nuclear radius of the carbon-12 is shown on the graph.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain the nature of the particle labelled X.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how these experiments are carried out.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the particles must be accelerated to high energies in scattering experiments.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain <strong>one</strong> example of a scientific analogy.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the radius of the magnesium-24 nucleus.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Plot the position of magnesium-24 on the graph.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a line on the graph, to show the variation of nuclear radius with nucleon number.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.iii.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 3</strong> The photoelectric effect and the Heisenberg uncertainty principle</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light is incident on a metal surface A. A potential difference is applied between A and an electrode B. Photoelectrons arrive at B and the resulting current is measured by a sensitive ammeter. (Note: the complete electrical circuit is not shown.)</p>
<p><img 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" alt></p>
<p>(i) The frequency of the light is reduced until the current measured by the ammeter falls to zero. Explain how Einstein’s photoelectric theory accounts for this observation.</p>
<p>(ii) A different metal surface is used so that a current is again measured. Outline the effect on the photoelectric current when the intensity of the light is doubled and the frequency remains constant.</p>
<div class="marks">[6]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A photon of energy 6.6×10<sup>–19</sup>J is incident upon a clean sodium surface. The work function of sodium is 3.7×10<sup>–19</sup>J. The photon causes an electron to be emitted from the surface with the maximum possible kinetic energy. The position of this electron is measured with an uncertainty of 5.0×10<sup>–9</sup>m.</p>
<p>Calculate the</p>
<p>(i) momentum of the electron.</p>
<p>(ii) uncertainty in the momentum of the electron.</p>
<div class="marks">[5]</div>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about quantum aspects of the electron. <strong>Part 2</strong> is about electric circuits.</p>
<p><strong>Part 1</strong> Quantum aspects of the electron</p>
<p>The wavefunction <em>ψ</em> for an electron confined to move within a “box” of linear size <em>L</em> =1.0×10<sup>−10</sup>m, is a standing wave as shown.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a wavefunction.</p>
<p> </p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the position near which this electron is most likely to be found.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the momentum of the electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The energy, in joules, of the electron in a hydrogen atom, is given by \(E = \frac{{2.18 \times {{10}^{ - 18}}}}{{{n^2}}}\) where <em>n</em> is a positive integer. Calculate the wavelength of the photon emitted in a transition from the first excited state of hydrogen to the ground state.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron stays in the first excited state of hydrogen for a time of approximately Δ<em>t</em>=1.0×10<sup>−10</sup>s.</p>
<p>(i) Determine the uncertainty in the energy of the electron in the first excited state.</p>
<p>(ii) Suggest, with reference to your answer to (e)(i), why the photons emitted in transitions from the first excited state of hydrogen to the ground state will, in fact, have a small range of wavelengths.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>Two observations about the photoelectric effect are</p>
<p style="text-align: left;">Observation 1: For light below the threshold frequency no electrons are emitted from the metal surface.</p>
<p style="text-align: left;">Observation 2: For light above the threshold frequency, the emission of electrons is almost instantaneous.</p>
</div>
<div class="specification">
<p>The graph shows how the maximum kinetic energy <em>E</em><sub>max</sub> of electrons emitted from a surface of barium metal varies with the frequency <em>f</em> of the incident radiation.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how each observation provides support for the particle theory but not the wave theory of light.</p>
<p><img 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AICRRJ2RQkQIECAAAECBAjkISBQ5DFHXRAgQIAAAQIECBBIIiBQJGFXlAABAgQIECBAgEAeAgJFHnPUBQECBAgQIECAAIEkAgJFEnZFCRAgQIAAAQIECOQhIFDkMUddECBAgAABAgQIEEgiIFAkYVeUAAECBAgQIECAQB4CAkUec9QFAQIECBAgQIAAgSQCAkUSdkUJECBAgAABAgQI5CEgUOQxR10QIECAAAECBAgQSCIgUCRhV5QAAQIECBAgQIBAHgICRR5z1AUBAgQIECBAgACBJAICRRJ2RQkQIECAAAECBAjkISBQ5DFHXRAgQIAAAQIECBBIIiBQJGFXlAABAgQIECBAgEAeAgJFHnPUBQECBAgQIECAAIEkAgJFEnZFCRAgQIAAAQIECOQhIFDkMUddECBAgAABAgQIEEgiIFAkYVeUAAECBAgQIECAQB4CAkUec9QFAQIECBAgQIAAgSQCAkUSdkUJECBAgAABAgQI5CEgUOQxR10QIECAAAECBAgQSCIgUCRhV5QAAQIECBAgQIBAHgICRR5z1AUBAgQIECBAgACBJALZBYrqSDl6iiJKfZUYm4u0OhzlnlIUpf6ojFXnWOpwjJTXRlEsi77KgTmWici9XrCKCPtC/Q8g931df/Uhn4qvjfa98X+ATsnZeG302tg4PLJ/TvyZtuwYtOHaRj+KWq1Wa97eoihixkPNT7tNgAABAgQIECBAgECHCsyWFbJ7h6JDZ6ttAgQIECBAgAABAkkEBIok7IoSIECAAAECBAgQyENAoMhjjrogQIAAAQIECBAgkERAoEjCrigBAgQIECBAgACBPAQEijzmqAsCBAgQIECAAAECSQQEiiTsihIgQIAAAQIECBDIQ0CgyGOOuiBAgAABAgQIECCQRECgSMKuKAECBAgQIECAAIE8BASKPOaoCwIECBAgQIAAAQJJBASKJOyKEiBAgAABAgQIEMhDQKDIY466IECAAAECBAgQIJBEQKBIwq4oAQIECBAgQIAAgTwEBIo85qgLAgQIECBAgAABAkkEBIok7IoSIECAAAECBAgQyENAoMhjjrogQIAAAQIECBAgkERAoEjCrigBAgQIECBAgACBPAQEijzmqAsCBAgQIECAAAECSQQEiiTsihIgQIAAAQIECBDIQ0CgyGOOuiBAgAABAgQIECCQRECgSMKuKAECBAgQIECAAIE8BASKPOaoCwIECBAgQIAAAQJJBASKJOyKEiBAgAABAgQIEMhDQKDIY466IECAAAECBAgQIJBEQKBIwq4oAQIECBAgQIAAgTwEBIo85qgLAgQIECBAgAABAkkEBIok7IoSIECAAAECBAgQyENAoMhjjrogQIAAAQIECBAgkERAoEjCrigBAgQIECBAgACBPAQEijzmqAsCBAgQIECAAAECSQSyCxTVkXL0FEWU+ioxNhdpdTjKPaUoSv1RGavOsdThGCmvjaJYFn2VA3MsE5F7vWAVEfaF+h9A7vu6/upDPhVfG+174/8AnZKz8drotbFxeGT/nPgzbdkxaMO1jX4UtVqt1ry9RVHEjIean3abAAECBAgQIECAAIEOFZgtK2T3DkWHzlbbBAgQIECAAAECBJIICBRJ2BUlQIAAAQIECBAgkIeAQJHHHHVBgAABAgQIECBAIImAQJGEXVECBAgQIECAAAECeQgIFHnMURcECBAgQIAAAQIEkggIFEnYFSVAgAABAgQIECCQh4BAkcccdUGAAAECBAgQIEAgiYBAkYRdUQIECBAgQIAAAQJ5CAgUecxRFwQIECBAgAABAgSSCAgUSdgVJUCAAAECBAgQIJCHgECRxxx1QYAAAQIECBAgQCCJgECRhF1RAgQIECBAgAABAnkICBR5zFEXBAgQIECAAAECBJIICBRJ2BUlQIAAAQIECBAgkIeAQJHHHHVBgAABAgQIECBAIImAQJGEXVECBAgQIECAAAECeQgIFHnMURcECBAgQIAAAQIEkggIFEnYFSVAgAABAgQIECCQh4BAkcccdUGAAAECBAgQIEAgiYBAkYRdUQIECBAgQIAAAQJ5CAgUecxRFwQIECBAgAABAgSSCAgUSdgVJUCAAAECBAgQIJCHgECRxxx1QYAAAQIECBAgQCCJgECRhF1RAgQIECBAgAABAnkICBR5zFEXBAgQIECAAAECBJIICBRJ2BUlQIAAAQIECBAgkIeAQJHHHHVBgAABAgQIECBAIImAQJGEXVECBAgQIECAAAECeQgIFHnMURcECBAgQIAAAQIEkghkFyiqI+XoKYoo9VVibC7S6nCUe0pRlPqjMladY6nDMVJeG0WxLPoqB+ZYJiL3esEqIuwL9T+A3Pd1/dWHfCq+Ntr3xv8BOiVn47XRa2Pj8Mj+OfFn2rJj0IZrG/0oarVarXl7i6KIGQ81P+02AQIECBAgQIAAAQIdKjBbVsjuHYoOna22CRAgQIAAAQIECCQRECiSsCtKgAABAgQIECBAIA8BgSKPOeqCAAECBAgQIECAQBIBgSIJu6IECBAgQIAAAQIE8hAQKPKYoy4IECBAgAABAgQIJBEQKJKwK0qAAAECBAgQIEAgDwGBIo856oIAAQIECBAgQIBAEgGBIgm7ogQIECBAgAABAgTyEBAo8pijLggQIECAAAECBAgkERAokrArSoAAAQIECBAgQCAPAYEijznqggABAgQIECBAgEASAYEiCbuiBAgQIECAAAECBPIQECjymKMuCBAgQIAAAQIECCQRECiSsCtKgAABAgQIECBAIA8BgSKPOeqCAAECBAgQIECAQBIBgSIJu6IECBAgQIAAAQIE8hAQKPKYoy4IECBAgAABAgQIJBEQKJKwK0qAAAECBAgQIEAgD4GMAkU1Do3sjIFyX1xeFFGM/1eKy/u+HU8OjUa1eV7V4Sj3nB895eHpjzcv0za3x2Jkx73R/93JXg7HSHltFKX+qIxN6/rX1NFYjFTK0Xd5qWFeRGn9PbFjZOzXVM9qCRAgQIAAAQIETiWBTALFkRit3B6rF10fT766Ih547WjUarWoHR2KzRf/ZwysXhor+3fE6Mk4vj7Z0x3bHQ+u/2oMHZ0s/PZY2Lstavs2xooFv+7xHolXBvpj+aeejbM3DcXRcfN98cSFL8T65f0x8MqRyY3ykwABAgQIECBAIFOBX/cR50lgq8ahofvjT1f+XZz3+D/Ed27siYXzG211dcfSNTfE/U/dFHHnDXHrEz/P4B2Jk0B6oiWqP4vtDwxErFsfV1/UHePqXd1x0YZb4o4lA3Hdvc+F9ylOFNNyBAgQIECAAIH2FMggULwau7Y9EjtXfT76rvydiYPaabPoivlL18VtN78tytc9EDubTwN69aXYsXl9lMZPj1oS6zdvj5FDTW9jHBqJyrRTqHqir1yZvkwcidGhrU2n/Mxc5kBU+pZFcXlffHuqVv2UrHfPcsrVxLKlvkrjQLy+7oHYvH7J1OlE9fWUKyNxqN7jWCX6Fq+Mu0ZHY/DqC2Le+GlOr89yytPM05Lm2Mae+6Oyq6mX0vrYvKNRa5pp407X4ujdvi/2bVoRC2Z5fvSFl2N/nXP8FLNSFD3lGGnineVXPESAAAECBAgQINBmAu0fKMZ+Etu3DkX3hefG2XN2c2Ys61kV3aODsX33q40RvR6DN305Hp332Rg6Wovaa38bH/2Pu2PR6i0xNB4qDsbQt26ITz373vhm4xSqo/tujHlbPxvXbxtpvNNRP+Xnhli6+uljp/y89tex6NkNsXzDE/FK88Hzzn+M5868KUZqv4x9e34aux+8LAYf+2HsbV5mvJeIdT3vjwXReOdl9ZMx79rBidOJ6r972+mxdeUN8a2hgxELVsSm4Wfi5u7uWPXgT+PorKc5jcVw+fPTTks6uu+LcfazG5p6bZAMfiVuf/wdcfVTv4havdbD58X3VjVq/co79umx6qrfj/PrM2kEj9r23lg454x+5QJ+gQABAgQIECBA4BQQaPvDu+r+l+OF0e5YsqgU898UdF+88PKBqdOeunu/HBs3XBLddYX5i2PNF/ri5j2PxLZdr0ZU98ePdwzHkssunjqFqqv7Q7Hxn/fG9t7FE++EjD0X9143EEvuuCU2TJ7yM/990fv1LbHu+xvj3p0Hjm1R9+pY//H3xvw4LboXLo4PXPrhWDU4EH//rwcby1RjbPfTsTVWRc+yMyNi4p2XPc2nE9V/d/lVsW7VcOz48f6pPo4VmeXW2O74zq274or7/mpqG7u6L4nPf31L3Lzna9E/FY4iovvTcdsXrmz0e1p0L/uDuKj7+ROvNV7+SLzyxH1x64sfjmt6zpvlHaNZttFDBAgQIECAAAECbSvQ9oHircufHksuee9EmJhcyfxSLFqyL7Zu/0mMdZ0dv/uhxTF463fiiV2VGJg8zWhy2WgEgNFSXHjuWdMPnJvXM7X89Btd56+Ma3p/Hndve37i9Kbqv8XTjwzGohuujIvGL6Y+K1Zs2h37Ni2L/ZUnY2BgIAYGvh19K1fE1YOvT1/ZnPcmt/GCuOR9755lGyNe3LNv4vSp2dYx3sebLDPt96pxaPhvov+6/xeffviWuPKc06Y96w4BAgQIECBAgEB+Am0fKLrOPjcu7B49/oHx1NxmOfifem7mjd+MpTc+GnsevjgOPr4pPrZyUZxR1D+GthyVaR+JOhR3rXzXsWsc6tdjzLsgrh4cnbnC6fe73hMf/OTqiK1Px+6xalT3PhMPlM+LdX/0/sY7LfWD8+/G+tI7Y9HKb8SPDtbPjfqt6PnmQDy46kQP8o/E/pf3xvG2ZOo6h+lb9xbu1bd3a1y7YnPEHX8d/SvOmR5g3sIa/QoBAgQIECBAgMCpL9D2gSIWvD961i2N4x8Yvxq7tw/GaPfk6UQnOpgFsXDFmujdtH3imoLd98Uf7r8nVi7/atN3PHwiHtzzXxMfU1v/2NSm/+a6WHmielcsWPbBWBf16zpeib3P/VMMrvpwXHr+2yeero7Etg23xI4rHo9fHN0em3o/HmvWfDRWlF6PPS8eLyI093ZanH3u+dHd/NCM28e/9mTGwnPePRKju77ZCBN/E/f3vu8ETj+bc2WeIECAAAECBAgQaCOB9g8UcWZctPaTsXzwntg068fC1i9u3hq33/XL6L3vmlg+9d0Mr7/xXY1D+2LPi6XGRdEzp3hadC+9Mj67fnV0j+6Nl/f/90Qg6P5p/OClf59+PcOhXbH58hP44rzxMBSx9XuPxMBjzx+7iLleenxb4g2nZVVfOxhNV2bM3MgZ9xuhZdZtrPcaJ3jtyYzVNt+tvhKV/tVRuvjv4+z7/laYaLZxmwABAgQIECDQAQIZBIr6x8JeG48+8/H42cc+Ep9p/ujX6mgMDdwd167+WsQtd8cdMz5WdvSuTfGVgeGJawgOvRTl6zfE1iv643PLz2p81On5cXnfwLGPiT00Ek9vH4ro/ePoqb+TsODS+Nx9l8X3r/tibNnV+DbuQ8MxcPttcVNcGxvXLnyT034mwtCiu2+JWwZ/L6669Nxjy4+HjVIMbn0sdo5OfEFcdfQHsaX/S1FufoNi/DqH0yd21dcPRfOn3o4/uGBZfOaOi2Zs40Svdy266QS28Xh/BQdj6O5rYuWd+6L38f8dd65Z7J2J43F5jgABAgQIECCQoUAGgaI+ldOie8WX4pl9D8WaMytxzRnzJq5pmLc0bvzRO2PNU0PxzMYPTb8AO06PVV/7s1jxsztjYf26hzP+JJ5dsjl2brkyzqmrdC2OTz/0WFz/ridj+eT6zvhEPPmua+KpOz4ysUycFues2Rg7H74s9vctjXnj65lYZvej18bSyS/Ym3PH6Yr5H7gi1q3qju7JkDK17Fmx/M+/EQ9d9MNYWXrbeD+//Zf/Eu9Z/414/OalU0tF13lxRd+6OFL/Hop39Ma2vYePPTd+a0Es7r1nxjb+Rey5bEvseWrDCWzjjNU13a2ODET/Td+LiJei/LFzJ/of/06P+vdsFFGMfy9G9Vf6HqXUJCUAAA0XSURBVIrqSDl6iiKOfRdHU8HJm5PfazG5/snHp/08PPF9HMWy6Ksc5z2dFq7rZG+7ek3fcdKCfYEnz4mXkBN77Wjd/hLRunWd7G1Xr77PmJ/Xjpa/dkw7nmmPO0WtftJ/0//qB4IzHmp61k0CBAgQIECAAAECBDpVYLaskMk7FJ06Un0TIECAAAECBAgQSCsgUKT1V50AAQIECBAgQIBAWwsIFG09PhtPgAABAgQIECBAIK2AQJHWX3UCBAgQIECAAAECbS0gULT1+Gw8AQIECBAgQIAAgbQCAkVaf9UJECBAgAABAgQItLWAQNHW47PxBAgQIECAAAECBNIKCBRp/VUnQIAAAQIECBAg0NYCAkVbj8/GEyBAgAABAgQIEEgrIFCk9VedAAECBAgQIECAQFsLCBRtPT4bT4AAAQIECBAgQCCtgECR1l91AgQIECBAgAABAm0tIFC09fhsPAECBAgQIECAAIG0AgJFWn/VCRAgQIAAAQIECLS1gEDR1uOz8QQIECBAgAABAgTSCggUaf1VJ0CAAAECBAgQINDWAgJFW4/PxhMgQIAAAQIECBBIKyBQpPVXnQABAgQIECBAgEBbCwgUbT0+G0+AAAECBAgQIEAgrYBAkdZfdQIECBAgQIAAAQJtLSBQtPX4bDwBAgQIECBAgACBtAICRVp/1QkQIECAAAECBAi0tYBA0dbjs/EECBAgQIAAAQIE0goIFGn9VSdAgAABAgQIECDQ1gICRVuPz8YTIECAAAECBAgQSCsgUKT1V50AAQIECBAgQIBAWwsIFG09PhtPgAABAgQIECBAIK2AQJHWX3UCBAgQIECAAAECbS0gULT1+Gw8AQIECBAgQIAAgbQC2QWK6kg5eooiSn2VGJvLtjoc5Z5SFKX+qIxV51jqcIyU10ZRLIu+yoE5lonIvV6wigj7Qv0PIPd9XX/1IZ+Kr432vfF/gE7J2Xht9NrYODyyf078mbbsGLTh2kY/ilqtVmve3qIoYsZDzU+7TYAAAQIECBAgQIBAhwrMlhWye4eiQ2erbQIECBAgQIAAAQJJBASKJOyKEiBAgAABAgQIEMhDQKDIY466IECAAAECBAgQIJBEQKBIwq4oAQIECBAgQIAAgTwEBIo85qgLAgQIECBAgAABAkkEBIok7IoSIECAAAECBAgQyENAoMhjjrogQIAAAQIECBAgkERAoEjCrigBAgQIECBAgACBPAQEijzmqAsCBAgQIECAAAECSQQEiiTsihIgQIAAAQIECBDIQ0CgyGOOuiBAgAABAgQIECCQRECgSMKuKAECBAgQIECAAIE8BASKPOaoCwIECBAgQIAAAQJJBASKJOyKEiBAgAABAgQIEMhDQKDIY466IECAAAECBAgQIJBEQKBIwq4oAQIECBAgQIAAgTwEBIo85qgLAgQIECBAgAABAkkEBIok7IoSIECAAAECBAgQyENAoMhjjrogQIAAAQIECBAgkERAoEjCrigBAgQIECBAgACBPAQEijzmqAsCBAgQIECAAAECSQQEiiTsihIgQIAAAQIECBDIQ0CgyGOOuiBAgAABAgQIECCQRECgSMKuKAECBAgQIECAAIE8BASKPOaoCwIECBAgQIAAAQJJBASKJOyKEiBAgAABAgQIEMhDQKDIY466IECAAAECBAgQIJBEQKBIwq4oAQIECBAgQIAAgTwEBIo85qgLAgQIECBAgAABAkkEsgsU1ZFy9BRFlPoqMTYXaXU4yj2lKEr9URmrzrHU4Rgpr42iWBZ9lQNzLBORe71gFRH2hfofQO77uv7qQz4VXxvte+P/AJ2Ss/Ha6LWxcXhk/5z4M23ZMWjDtY1+FLVarda8vUVRxIyHmp92mwABAgQIECBAgACBDhWYLStk9w5Fh85W2wQIECBAgAABAgSSCAgUSdgVJUCAAAECBAgQIJCHgECRxxx1QYAAAQIECBAgQCCJgECRhF1RAgQIECBAgAABAnkICBR5zFEXBAgQIECAAAECBJIICBRJ2BUlQIAAAQIECBAgkIeAQJHHHHVBgAABAgQIECBAIImAQJGEXVECBAgQIECAAAECeQgIFHnMURcECBAgQIAAAQIEkggIFEnYFSVAgAABAgQIECCQh4BAkcccdUGAAAECBAgQIEAgiYBAkYRdUQIECBAgQIAAAQJ5CAgUecxRFwQIECBAgAABAgSSCAgUSdgVJUCAAAECBAgQIJCHgECRxxx1QYAAAQIECBAgQCCJgECRhF1RAgQIECBAgAABAnkICBR5zFEXBAgQIECAAAECBJIICBRJ2BUlQIAAAQIECBAgkIeAQJHHHHVBgAABAgQIECBAIImAQJGEXVECBAgQIECAAAECeQgIFHnMURcECBAgQIAAAQIEkggIFEnYFSVAgAABAgQIECCQh4BAkcccdUGAAAECBAgQIEAgiYBAkYRdUQIECBAgQIAAAQJ5CAgUecxRFwQIECBAgAABAgSSCAgUSdgVJUCAAAECBAgQIJCHgECRxxx1QYAAAQIECBAgQCCJgECRhF1RAgQIECBAgAABAnkICBR5zFEXBAgQIECAAAECBJIIZBcoqiPl6CmKKPVVYmwu0upwlHtKUZT6ozJWnWOpwzFSXhtFsSz6KgfmWCYi93rBKiLsC/U/gNz3df3Vh3wqvjba98b/ATolZ+O10Wtj4/DI/jnxZ9qyY9CGaxv9KGq1Wq15e4uiiBkPNT/tNgECBAgQIECAAAECHSowW1bI7h2KDp2ttgkQIECAAAECBAgkERAokrArSoAAAQIECBAgQCAPAYEijznqggABAgQIECBAgEASAYEiCbuiBAgQIECAAAECBPIQECjymKMuCBAgQIAAAQIECCQRECiSsCtKgAABAgQIECBAIA8BgSKPOeqCAAECBAgQIECAQBIBgSIJu6IECBAgQIAAAQIE8hAQKPKYoy4IECBAgAABAgQIJBEQKJKwK0qAAAECBAgQIEAgDwGBIo856oIAAQIECBAgQIBAEgGBIgm7ogQIECBAgAABAgTyEBAo8pijLggQIECAAAECBAgkERAokrArSoAAAQIECBAgQCAPAYEijznqggABAgQIECBAgEASAYEiCbuiBAgQIECAAAECBPIQECjymKMuCBAgQIAAAQIECCQRECiSsCtKgAABAgQIECBAIA8BgSKPOeqCAAECBAgQIECAQBIBgSIJu6IECBAgQIAAAQIE8hAQKPKYoy4IECBAgAABAgQIJBEQKJKwK0qAAAECBAgQIEAgDwGBIo856oIAAQIECBAgQIBAEgGBIgm7ogQIECBAgAABAgTyEBAo8pijLggQIECAAAECBAgkERAokrArSoAAAQIECBAgQCAPAYEijznqggABAgQIECBAgEASAYEiCbuiBAgQIECAAAECBPIQECjymKMuCBAgQIAAAQIECCQRyC5QVEfK0VMUUeqrxNhcpNXhKPeUoij1R2WsOsdSh2OkvDaKYln0VQ7MsUxE7vWCVUTYF+p/ALnv6/qrD/lUfG20743/A3RKzsZro9fGxuGR/XPiz7Rlx6AN1zb6UdRqtVrz9hZFETMean7abQIECBAgQIAAAQIEOlRgtqyQ3TsUHTpbbRMgQIAAAQIECBBIIiBQJGFXlAABAgQIECBAgEAeAgJFHnPUBQECBAgQIECAAIEkAgJFEnZFCRAgQIAAAQIECOQhIFDkMUddECBAgAABAgQIEEgiIFAkYVeUAAECBAgQIECAQB4CAkUec9QFAQIECBAgQIAAgSQCAkUSdkUJECBAgAABAgQI5CEgUOQxR10QIECAAAECBAgQSCIgUCRhV5QAAQIECBAgQIBAHgICRR5z1AUBAgQIECBAgACBJAICRRJ2RQkQIECAAAECBAjkISBQ5DFHXRAgQIAAAQIECBBIIiBQJGFXlAABAgQIECBAgEAeAgJFHnPUBQECBAgQIECAAIEkAgJFEnZFCRAgQIAAAQIECOQhIFDkMUddECBAgAABAgQIEEgiIFAkYVeUAAECBAgQIECAQB4CAkUec9QFAQIECBAgQIAAgSQCAkUSdkUJECBAgAABAgQI5CEgUOQxR10QIECAAAECBAgQSCIgUCRhV5QAAQIECBAgQIBAHgICRR5z1AUBAgQIECBAgACBJAICRRJ2RQkQIECAAAECBAjkISBQ5DFHXRAgQIAAAQIECBBIIiBQJGFXlAABAgQIECBAgEAeAgJFHnPUBQECBAgQIECAAIEkAgJFEnZFCRAgQIAAAQIECOQhIFDkMUddECBAgAABAgQIEEgiIFAkYVeUAAECBAgQIECAQB4CRa1Wq022UhTF5E0/CRAgQIAAAQIECBAgMKtAU4SI32heovmJ5sfdJkCAAAECBAgQIECAwGwCTnmaTcVjBAgQIECAAAECBAickIBAcUJMFiJAgAABAgQIECBAYDYBgWI2FY8RIECAAAECBAgQIHBCAv8fl1gRc/FtiQoAAAAASUVORK5CYII="></p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine a value for Planck’s constant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the work function of a metal.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the work function of barium in eV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The experiment is repeated with a metal surface of cadmium, which has a greater work function. Draw a second line on the graph to represent the results of this experiment.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Nuclear energy and radioactivity</p>
<p>The graph shows the variation of binding energy per nucleon with nucleon number. The position for uranium-235 (U-235) is shown.</p>
<p><img 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" alt></p>
</div>
<div class="question">
<p>U-235 \(\left( {{}_{92}^{235}{\rm{U}}} \right)\) can undergo alpha decay to form an isotope of thorium (Th).</p>
<p>(i) State the nuclear equation for this decay.</p>
<p>(ii) A sample of rock contains a mass of 5.6 mg of U-235 at the present day. The half-life of U-235 is 7.0\( \times \)10<sup>8</sup> years. Determine the initial mass of the U-235 if the rock sample was formed 3.9\( \times \)10<sup>9</sup> years ago.</p>
</div>
<br><hr><br><div class="specification">
<p>The radioactive nuclide beryllium-10 (Be-10) undergoes beta minus (<em>β–</em>) decay to form a stable boron (B) nuclide.</p>
</div>
<div class="specification">
<p>The initial number of nuclei in a pure sample of beryllium-10 is N<sub>0</sub>. The graph shows how the number of remaining <strong>beryllium </strong>nuclei in the sample varies with time.</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>An ice sample is moved to a laboratory for analysis. The temperature of the sample is –20 °C.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the missing information for this decay.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Beryllium-10 is used to investigate ice samples from Antarctica. A sample of ice initially contains 7.6 × 10<sup>11</sup> atoms of beryllium-10. The present activity of the sample is 8.0 × 10<sup>−3</sup> Bq.</p>
<p>Determine, in years, the age of the sample.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The temperature in the laboratory is higher than the temperature of the ice sample. Describe <strong>one </strong>other energy transfer that occurs between the ice sample and the laboratory.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
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<p>Photoelectric effect and de Broglie wavelength</p>
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<p>The diagram is a representation of apparatus used to study the photoelectric effect.<img 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" alt></p>
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<p>Light from the monochromatic source is incident on a cathode placed in an evacuated tube. A variable voltage supply is connected between anode and cathode and the photoelectric current is registered by the microammeter. The sketch graph shows how the photoelectric current <em>I</em> varies with the potential difference <em>V</em> between anode and cathode for two sources of light, A and B, of different frequencies and intensities.</p>
<p><img 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" alt></p>
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<div class="column">Explain with reference to the Einstein model, which graph, A or B, corresponds to the light with the greater frequency.</div>
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<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
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<div class="column">The frequency of the light that produces graph A is 8.8×10<sup>14</sup>Hz. The magnitude of <em>V</em><sub>A</sub> is 1.6V.</div>
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<div class="column">(i) State the value of the maximum energy, in eV, of the electrons emitted from the cathode.
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<div class="column">(ii) Determine the work function, in eV, of the surface of the cathode.</div>
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<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<p>The frequency of the incident light is increased but the intensity remains constant. Explain why this increase in frequency results in a change to the maximum photoelectric current (saturation current).</p>
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<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
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<p>The electrons emitted from the photo-cathode have an associated de Broglie wavelength. Describe what is meant by the de Broglie wavelength.<em> <br></em></p>
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<div class="question_part_label">d.</div>
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<p>This question is in two parts. <strong>Part 1</strong> is about thermal properties of matter. <strong>Part 2</strong> is about quantum physics.</p>
<p><strong>Part 1</strong> Thermal properties of matter</p>
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<p><strong>Part 2</strong> Quantum physics<br>The diagram shows the end of an electron diffraction tube.</p>
<p><img 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" alt></p>
<p>A pattern forms when diffracted electrons are incident on a fluorescent layer at the end of the tube.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Three ice cubes at a temperature of 0ºC are dropped into a container of water at a temperature of 22ºC. The mass of each ice cube is 25 g and the mass of the water is 330 g. The ice melts, so that the temperature of the water decreases. The thermal capacity of the container is negligible.</p>
<p>(i) The following data are available.</p>
<p style="padding-left: 30px;">Specific latent heat of fusion of ice = 3.3×10<sup>5</sup> J kg<sup>–1</sup><br>Specific heat capacity of water = 4.2×10<sup>3</sup> J kg<sup>–1</sup> K<sup>–1</sup></p>
<p>Calculate the final temperature of the water when all of the ice has melted. Assume that no thermal energy is exchanged between the water and the surroundings.</p>
<p>(ii) Explain how the first law of thermodynamics applies to the water when the ice cubes are dropped into it.</p>
<div class="marks">[8]</div>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how the pattern demonstrates that electrons have wave properties.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Electrons are accelerated to a speed of 3.6×10<sup>7 </sup>ms<sup>−1</sup> by the electric field.</p>
<p>(i) Calculate the de Broglie wavelength of the electrons.</p>
<p>(ii) The cathode and anode are 22 mm apart and the field is uniform.<br>The potential difference between the cathode and the anode is 3.7 kV.<br>Show that the acceleration of the electrons is approximately 3×10<sup>16</sup>ms<sup>−2</sup>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what can be deduced about an electron from the amplitude of its associated wavefunction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron reaching the central bright spot on the fluorescent screen has a small uncertainty in its position. Outline what the Heisenberg uncertainty principle is able to predict about another property of this electron.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is in </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">two </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">parts. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about photoelectricity. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 2 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about electrical and magnetic force fields. </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Photoelectricity<br> </span></p>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by work function.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows part of an experimental arrangement used to investigate the photoelectric effect.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>(i) Explain how the maximum kinetic energy of the emitted electrons is determined experimentally.</p>
<p>(ii) On the diagram, draw the power supply and other necessary components needed in order to carry out the experiment in (b)(i).</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using results obtained with the apparatus in (b), the following graph was drawn. The graph shows how the maximum kinetic energy of the photoelectrons varies with the frequency of the incident radiation.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>State how the graph can be used to determine</p>
<p>(i) a value for the Planck constant.</p>
<p>(ii) the work function of the material.</p>
<p>(iii) the threshold wavelength of the material.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In an experiment, light at a particular frequency is incident on a surface and electrons are emitted. Explain what happens to the number of electrons emitted per second when the intensity of this light is increased.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Radioactivity</p>
<p>Radium-224 \(\left( {{}_{88}^{224}{\rm{RA}}} \right)\) is a radioactive nuclide that decays to form radon-220. Radon-220 is itself radioactive and undergoes a further decay. The table shows the series of radioactive nuclides that are formed as the decays proceed. The series ends with a stable isotope of lead.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the final thallium nuclide, identify the</p>
<p>(i) nucleon number.</p>
<p>(ii) proton number.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Radon-220 is a radioactive gas. It is released by rocks such as granite. In some parts of the world, houses are built from materials containing granite. Explain why it is unlikely that radon-220 will build up in sufficient quantity to be harmful in these houses.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate, in hour<sup>−1</sup>, the decay constant of lead-212.</p>
<p>(ii) In a pure sample of lead-212 at one instant, 8.0 × 10<sup>−3</sup> kg of the lead-212 is present. Calculate the mass of lead-212 that remains after a period of 35 hours.</p>
<p>(iii) A sample of pure radium begins to decay by the series shown in the table. At one instant, a mass of 8.0 × 10<sup>−3</sup> kg of lead-212 is present in the sample. Suggest why, after 35 hours, there will be a greater mass of lead-212 present in the sample than the value you calculated in (h)(ii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about current electricity. <strong>Part 2</strong> is about atoms.</p>
<p><strong>Part 1</strong> Current electricity</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Atoms</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A 24Ω resistor is made from a conducting wire.</p>
<p>(i) The diameter of the wire is 0.30 mm and the wire has a resistivity of 1.7 <span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span> 10<sup>–8</sup> Ω m. Calculate the length of the wire.</p>
<p>(ii) A potential difference of 12V is applied between the ends of the wire. Calculate the acceleration of a free electron in the wire.</p>
<p>(iii) Suggest why the average speed of the free electron does not keep increasing even though it is being accelerated.</p>
<div class="marks">[8]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electric circuit consists of a supply connected to a 24Ω resistor in parallel with a variable resistor of resistance <em>R</em>. The supply has an emf of 12V and an internal resistance of 11Ω.</p>
<p><img 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" alt></p>
<p>Power supplies deliver maximum power to an external circuit when the resistance of the external circuit equals the internal resistance of the power supply.</p>
<p>(i) Determine the value of <em>R</em> for this circuit at which maximum power is delivered to the external circuit.</p>
<p>(ii) Calculate the reading on the voltmeter for the value of <em>R</em> you determined in (b)(i).</p>
<p>(iii) Calculate the power dissipated in the 24Ω resistor when the maximum power is being delivered to the external circuit.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the wavefunction of an electron.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is confined in a length of 2.0 \( \times \) 10<sup>–10</sup> m.</p>
<p>(i) Determine the uncertainty in the momentum of the electron.</p>
<p>(ii) The electron has a momentum of 2.0 \( \times \) 10<sup>–23</sup>Ns. Determine the de Broglie wavelength of the electron.</p>
<p>(iii) On the axes, sketch the variation of the wavefunction \(\Psi \) of the electron in (d)(ii) with distance <em>x</em>. You may assume that \(\Psi \) \( = \) 0 when <em>x</em> \( = \) 0.</p>
<p><img 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X3W2/u3pJN3zl57fev7fmtt3mS963PPHZ+0pBEgQIAAAQIECBAgQIAAAQIECBAgQIDAYAJfMdhMJiJAgAABAgQIECBAgAABAgQIECBAgACBpwUczNoIBAgQIECAAAECBAgQIECAAAECBAgQGFjAwezA4KYjQIAAAQIECBAgQIAAAQIECBAgQICAg1l7gAABAgQIECBAgAABAgQIECBAgAABAgMLOJgdGNx0BAgQIECAAAECBAgQIECAAAECBAgQcDBrDxAgQIAAAQIECBAgQIAAAQIECBAgQGBgAQezA4ObjgABAgQIECBAgAABAgQIECBAgAABAg5m7QECBAgQIECAAAECBAgQIECAAAECBAgMLOBgdmBw0xEgQIAAAQIECBAgQIAAAQIECBAgQMDBrD1AgAABAgQIECBAgAABAgQIECBAgACBgQUczA4MbjoCBAgQIECAAAECBAgQIECAAAECBAg4mLUHCBAgQIAAAQIECBAgQIAAAQIECBAgMLCAg9mBwU1HgAABAgQIECBAgAABAgQIECBAgAABB7P2AAECBAgQIECAAAECBAgQIECAAAECBAYWcDA7MLjpCBAgQIAAAQIECBAgQIAAAQIECBAg4GDWHiBAgAABAgQIECBAgAABAgQIECBAgMDAAl+ZM9+l7Qs5w40lQIAAAQIECBAgQIAAAQIECBAgQIDALSOwf3hQLNdzxyctJ1oczpZMKCcXYwkQIECAAAECBAgQIECAAAECBAgQIFBaYB1noL7KoPQqiUeAAAECBAgQIECAAAECBAgQIECAAIEeAQezPUC6CRAgQIAAAQIECBAgQIAAAQIECBAgUFrAwWxpUfEIECBAgAABAgQIECBAgAABAgQIECDQI+BgtgdINwECBAgQIECAAAECBAgQIECAAAECBEoLOJgtLSoeAQIECBAgQIAAAQIECBAgQIAAAQIEegQczPYA6SZAgAABAgQIECBAgAABAgQIECBAgEBpAQezpUXFI0CAAAECBAgQIECAAAECBAgQIECAQI+Ag9keIN0ECBAgQIAAAQIECBAgQIAAAQIECBAoLeBgtrSoeAQIECBAgAABAgQIECBAgAABAgQIEOgRcDDbA6SbAAECBAgQIECAAAECBAgQIECAAAECpQUczJYWFY8AAQIECBAgQIAAAQIECBAgQIAAAQI9Ag5me4B0EyBAgAABAgQIECBAgAABAgQIECBAoLSAg9nSouIRIECAAAECBAgQIECAAAECBAgQIECgR8DBbA+QbgIECBAgQIAAAQIECBAgQIAAAQIECJQWcDBbWlQ8AgQIECBAgAABAgQIECBAgAABAgQI9Ag4mO0B0k2AAAECBAgQIECAAAECBAgQIECAAIHSAg5mS4uKR4AAAQIECBAgQIAAAQIECBAgQIAAgR4BB7M9QLoJECBAgAABAgQIECBAgAABAgQIECBQWsDBbGlR8QgQIECAAAECBAgQIECAAAECBAgQINAj4GC2B0g3AQIECBAgQIAAAQIECBAgQIAAAQIESgs4mC0tKh4BAgQIECBAgAABAgQIECBAgAABAgR6BBzM9gDpJkCAAAECBAgQIECAAAECBAgQIECAQGkBB7OlRcUjQIAAAQIECBAgQIAAAQIECBAgQIBAj4CD2R4g3QQIECBAgAABAgQIECBAgAABAgQIECgt4GC2tKh4BAgQIECAAAECBAgQIECAAAECBAgQ6BFwMNsDpJsAAQIECBAgQIAAAQIECBAgQIAAAQKlBRzMlhYVjwABAgQIECBAgAABAgQIECBAgAABAj0CDmZ7gHQTIECAAAECBAgQIECAAAECBAgQIECgtICD2dKi4hEgQIAAAQIECBAgQIAAAQIECBAgQKBHwMFsD5BuAgQIECBAgAABAgQIECBAgAABAgQIlBZwMFtaVDwCBAgQIECAAAECBAgQIECAAAECBAj0CDiY7QHSTYAAAQIECBAgQIAAAQIECBAgQIAAgdICDmZLi4pHgAABAgQIECBAgAABAgQIECBAgACBHgEHsz1AugkQIECAAAECBAgQIECAAAECBAgQIFBawMFsaVHxCBAgQIAAAQIECBAgQIAAAQIECBAg0CPgYLYHSDcBAgQIECBAgAABAgQIECBAgAABAgRKCziYLS0qHgECBAgQIECAAAECBAgQIECAAAECBHoEHMz2AOkmQIAAAQIECBAgQIAAAQIECBAgQIBAaQEHs6VFxSNAgAABAgQIECBAgAABAgQIECBAgECPgIPZHiDdBAgQIECAAAECBAgQIECAAAECBAgQKC3gYLa0qHgECBAgQIAAAQIECBAgQIAAAQIECBDoEXAw2wOkmwABAgQIECBAgAABAgQIECBAgAABAqUFHMyWFhWPAAECBAgQIECAAAECBAgQIECAAAECPQIOZnuAdBMgQIAAAQIECBAgQIAAAQIECBAgQKC0gIPZ0qLiESBAgAABAgQIECBAgAABAgQIECBAoEfAwWwPkG4CBAgQIECAAAECBAgQIECAAAECBAiUFnAwW1pUPAIECBAgQIAAAQIECBAgQIAAAQIECPQIOJjtAdJNgAABAgQIECBAgAABAgQIECBAgACB0gIOZkuLikeAAAECBAgQIECAAAECBAgQIECAAIEeAQezPUC6CRAgQIAAAQIECBAgQIAAAQIECBAgUFrAwWxpUfEIECBAgAABAgQIECBAgAABAgQIECDQI+BgtgdINwECBAgQIECAAAECBAgQIECAAAECBEoLOJgtLSoeAQIECBAgQIAAAQIECBAgQIAAAQIEegQczPYA6SZAgAABAgQIECBAgAABAgQIECBAgEBpAQezpUXFI0CAAAECBAgQIECAAAECBAgQIECAQI+Ag9keIN0ECBAgQIAAAQIECBAgQIAAAQIECBAoLeBgtrSoeAQIECBAgAABAgQIECBAgAABAgQIEOgRcDDbA6SbAAECBAgQIECAAAECBAgQIECAAAECpQUczJYWFY8AAQIECBAgQIAAAQIECBAgQIAAAQI9Ag5me4B0EyBAgAABAgQIECBAgAABAgQIECBAoLSAg9nSouIRIECAAAECBAgQIECAAAECBAgQIECgR8DBbA+QbgIECBAgQIAAAQIECBAgQIAAAQIECJQWcDBbWlQ8AgQIECBAgAABAgQIECBAgAABAgQI9Ag4mO0B0k2AAAECBAgQIECAAAECBAgQIECAAIHSAg5mS4uKR4AAAQIECBAgQIAAAQIECBAgQIAAgR4BB7M9QLoJECBAgAABAgQIECBAgAABAgQIECBQWsDBbGlR8QgQIECAAAECBAgQIECAAAECBAgQINAj4GC2B0g3AQIECBAgQIAAAQIECBAgQIAAAQIESgs4mC0tKh4BAgQIECBAgAABAgQIECBAgAABAgR6BBzM9gDpJkCAAAECBAgQIECAAAECBAgQIECAQGkBB7OlRcUjQIAAAQIECBAgQIAAAQIECBAgQIBAj4CD2R4g3QQIECBAgAABAgQIECBAgAABAgQIECgt4GC2tKh4BAgQIECAAAECBAgQIECAAAECBAgQ6BFwMNsDpJsAAQIECBAgQIAAAQIECBAgQIAAAQKlBRzMlhYVjwABAgQIECBAgAABAgQIECBAgAABAj0CDmZ7gHQTIECAAAECBAgQIECAAAECBAgQIECgtICD2dKi4hEgQIAAAQIECBAgQIAAAQIECBAgQKBHwMFsD5BuAgQIECBAgAABAgQIECBAgAABAgQIlBZwMFtaVDwCBAgQIECAAAECBAgQIECAAAECBAj0CDiY7QHSTYAAAQIECBAgQIAAAQIECBAgQIAAgdICDmZLi4pHgAABAgQIECBAgAABAgQIECBAgACBHoGv7OnXTWBjApe2L6w897t+7MfTA/ffNzd+Z/fK3Of40L6nrz/u77unr78rRjuHrv641r5nlTlKxGjnMKY8u2oZotZl59hUnvZOCMxa37r19Uek9j2rPM/t8RFviBirzLGJWuX5/H/v3Sp751bJ0x4PgVlrr9ut8ixG9ou5tuvo6o9r7XsWxy/2d8Voj+/qX0eMVfJczGOVGMvWusoc8gyBWesz7+uPSO17rMnpf7e2nWYr4B0BAgSWE/ATs8t5uZsAAQIECBAgQIAAAQIECBAgQIAAAQL5AseZ7eL57cwIhhMoJxD7MXdPXt17NDuhscS4vPPIcbxy2lgswiC3Fp7zO6kGzxLrmltHiRxKxCixP0vkwTMUZ60GjxpyCJESe7SWWnLzyB3Pc/aMxTue5T1yTT3vZdeEZ32e8xn5RIDArSKQe97UVee5uJhzvBv/c/P9w4OcEMaeCDz12DvSt77xl9Kdr3ogPfCffVd63fe8PN05J/Pp9MG/8d3p3Z94cu7qzR/uSN/y934l/fJb7prveuLx9OF/9s/SI+/7UPrd296QPvi770nfcfv8LWP41Hz9gT05htVUAwECBAgQIECAAAECBAgQIECgDoF1nIH6KoM61jbd/sr3pH/9Oz+fvvtz/1N699u+N/317/9QOrzRTu6u9Oarnzw5BP9k+sgH7k/fsnCoevvLvi/95C/99tP9i4eyNw4+lH7gu743vf0nr6f05n+aPvapcR7KtrW8J0CAAAECBAgQIECAAAECBAgQIFCzgIPZmlbnzr+Y3vRfvSLdnp5Kn/21n0g/dPlTae5s9ulc70jbr357+vtvbv9E7F3pjf/gXen1L3/hzdXc+FTaedtPpF//7FMp3f6K9Lfe/BcXfhL35iGuECBAgAABAgQIECBAgAABAgQIECCwXgEHs+v1XTL6belrXvCCdNvTo/44Pf7zv5I+cfPJ7EnvV6Vv/vZvTXc00e/41vTt3/xVzae5P2984lfSlY//8TPXbntBesHXPBN97iYfCBAgQIAAAQIECBAgQIAAAQIECBAYVMDB7KDcS072R/vp4InOk9kzBrqRnviD/fRHZ7zbbc8I7F07+cqHzDaWGDu7V1K8ctpYLMIgtxae8zupBs8S65pbR4kcSsQosT9L5MEzFGetBo8acgiREnu0llpy88gdz3P2jMU7nuU9ck0972XXhGd9nvMZ+USAwJQFHMzWvPpPPZG+8KU/zcjw/0v/5vf/8OSLETQCBAgQIECAAAECBAgQIECAAAECBGoScDBb02qc5PIVL/jatPVcTv82/f7B//vcp+Xf/El64vNfmg276yXpwsIvDZt1ekeAAAECBAgQIECAAAECBAgQIECAwFACDmaHkj7jPLd940vTXcUOT7+cvvj5J5+b+fave2H66uc+eUOAAAECBAgQIECAAAECBAgQIECAwKYEHMxuSv60ee88n1769c3J7BPpU/v/z2l39l+/8X+n3/8/m5+4vSP9+Vd8c3ph/yh3ECBAgAABAgQIECBAgAABAgQIECCwZoFzxyctZ45L2xfS/uFBTghj5wS+nB5/z2vS697/6aev3v6q96V/+XOvvelA9anH3pG+9Y0fSk//POwdb0gf/N33pO9oznObeJ//cHrLK96WHosvmb39FelH/+ed9OZLdzS9o/wz9mM0e3KUy6soAgQIECBAgAABAgQIECBAgMBGBNZxBuonZjeylM836Vell7/1h9LrX/TMKetT/+Kfp1/an30dwfONnO87OeD94M88cyibbk8ves0b0+tGfig7X79PBAgQIECAAAECBAgQIECAAAECBOoVcDBb49rc+cr0I//krelb4mz2qY+mf/R335N+42CZw9kn0+EvviP9YPNTty97a/rH73xlurPGWuVEgAABAgQIECBAgAABAgQIECBAYIICDmarXPTb0p3f9rb0y7/14fSTb3hZSp/YTW/9jlent7znA+nDj3/+eTI+OZB97H9IP/PD35u+623X0mdvf1l6/Xs/nD569W3p2+687XnG6WoL7F273v640vuxxNjZvZLildPGYhEGubXwnN9JNXiWWNfcOkrkUCJGif1ZIg+eoThrNXjUkEOIlNijtdSSm0fueJ6zZyze8SzvkWvqeS+7Jjzr85zPyCcCBKYs8JVTLr762u98+cnB6q+k17/z8fThf/7b6Qtf+M30vtf8w/T2xcSf/FB680s/9MzVF70qvfVN96Qfet+Ppdd9z8v9lOyilc8ECBAgQIAAAQIECBAgQIAAAQIEKhDwy78qWIRVUjjTL/9aJfAtPqb55V8PPvRwuveeu+eq6fqX+/Y9ff0RrO+evv6uGO0cuvrjWvueVeZYNcbR0VEMTVtbW3M5xLW+PPr61xWjbXWWObruWTbGWWvN8Rwyz5ir3doeZ631tPFxvS9GX38To+0Z14bOs8kj/mxaO4e41ldLX39XjGXnOGuM0p4xbzvXIWpdZY515TkGz7Punbiv3da17m3T9hwx9+La9/XHmPY9i+MX++Nz3z19/V0x2jl09ce19j2rzHFaDJ4hc/O6tr27+uNa+55mTdbp2ZVHO4eu/tPyjOtNGyLGqnMs4xn1tOdp1qSpc7E/Pi/e0x7f1b8YY3H8Yv+6YiybZ5PH0J6LHqt4LVvrKnOsmmfj+cD990UIjQCBCQms45d/pePMdvH8dmYEw1cR+JOP/PDxXzixD/+L/9EPHz/2J6tEGd+Ypz0y9+TVvUezYcYS4/LOI8fxymljsQiD3Fp4zu+kGjxLrGtuHSVyKBGjxP4skQfPUJy1GjxqyCFESuzRWmrJzSN3PM/ZMxbveJb3yDX1vJddE571ec5n5BMBAreKwDrOQH3H7IRO9pVKgAABAgQIECBAgAABAgQIECBAgEAdAr7KoI51WDoLX2XQTdZ8lcH+4UH3Da4SIECAAAECBAgQIECAAAECBAgQWFJgHV9l4Cdml1wEtxMgQIAAAQIECBAgQIAAAQIECBAgQCBXwMFsrqDxBAgQIECAAAECBAgQIECAAAECBAgQWFLAweySYG4nQIAAAQIECBAgQIAAAQIECBAgQIBAroCD2VzBjYy/kb70xS+mG83cT/5O+q3/48vNJ39mCuxdu54ZIaWxxNjZvZLildPGYhEGubXwnN9JNXiWWNfcOkrkUCJGif1ZIg+eoThrNXjUkEOIlNijtdSSm0fueJ6zZyze8SzvkWvqeS+7Jjzr85zPyCcCBKYs4GD2llv9J9Phr/9EetOP/Hp66rncP50u//2fSr9x8ORzV7whQIAAAQIECBAgQIAAAQIECBAgQKBega+sNzWZzQt8On3wb3x3evcnug9fn/rEbnrrd+yeDLkjfcvf+5X0y2+5a364TwQIECBAgAABAgQIECBAgAABAgQIVCPgYLaapehL5K705qufTG/uu00/AQIECBAgQIAAAQIECBAgQIAAAQLVC/gqg+qXSIIECBAgQIAAAQIECBAgQIAAAQIECIxN4NzxScsp6tL2hbR/eJATwlgCxQRiP0azJ4uRCkSAAAECBAgQIECAAAECBAgQmLzAOs5A/cTs5LcVAAIECBAgQIAAAQIECBAgQIAAAQIEhhZwMDu0uPkIECBAgAABAgQIECBAgAABAgQIEJi8gIPZyW8BAIsCe9euL15a+vNYYuzsXknxymljsQiD3Fp4zu+kGjxLrGtuHSVyKBGjxP4skQfPUJy1GjxqyCFESuzRWmrJzSN3PM/ZMxbveJb3yDX1vJddE571ec5n5BMBAlMWcDA75dVXOwECBAgQIECAAAECBAgQIECAAAECGxHwy782wm7SdQk0v/zrwYceTvfec/fcNF3/ct++p68/gvXd09ffFaOdQ1d/XGvfs8ocq8Y4OjqKoWlra2suh7jWl0df/7pitK3OMkfXPcvGOGutOZ5D5hlztVvb46y1njY+rvfF6OtvYrQ949rQeTZ5xJ9Na+cQ1/pq6evvirHsHGeNUdoz5m3nOkStq8yxrjzH4HnWvRP3tdu61r1t2p4j5l5c+77+GNO+Z3H8Yn987runr78rRjuHrv641r5nlTlOi8EzZG5e17Z3V39ca9/TrMk6PbvyaOfQ1X9annG9aUPEWHWOZTyjnvY8zZo0dS72x+fFe9rju/oXYyyOX+xfV4xl82zyGNpz0WMVr2VrXWWOVfNsPB+4/74IoREgMCGBdfzyr3Sc2S6e386MYDiBcgKxH3P35NW9R7MTGkuMyzuPHMcrp43FIgxya+E5v5Nq8Cyxrrl1lMihRIwS+7NEHjxDcdZq8KghhxApsUdrqSU3j9zxPGfPWLzjWd4j19TzXnZNeNbnOZ+RTwQI3CoCuedNXXX6KoMJnewrlQABAgQIECBAgAABAgQIECBAgACBOgR8lUEd6yCLQgLNVxnsHx4UiigMAQIECBAgQIAAAQIECBAgQIDA1AXW8VUGfmJ26rtK/QQIECBAgAABAgQIECBAgAABAgQIDC7gYHZwchMSIECAAAECBAgQIECAAAECBAgQIDB1AQezU98B6idAgAABAgQIECBAgAABAgQIECBAYHABB7ODk5uwdoG9a9ezUxxLjJ3dKyleOW0sFmGQWwvP+Z1Ug2eJdc2to0QOJWKU2J8l8uAZirNWg0cNOYRIiT1aSy25eeSO5zl7xuIdz/Ieuaae97JrwrM+z/mMfCJAYMoCDmanvPpqJ0CAAAECBAgQIECAAAECBAgQIEBgIwIOZjfCblICBAgQIECAAAECBAgQIECAAAECBKYs4GB2yquvdgIECBAgQIAAAQIECBAgQIAAAQIENiJw7vik5cx8aftC2j88yAlhLIFiArEfo9mTxUgFIkCAAAECBAgQIECAAAECBAhMXmAdZ6B+Ynby2woAAQIECBAgQIAAAQIECBAgQIAAAQJDCziYHVrcfAQIECBAgAABAgQIECBAgAABAgQITF7AwezktwAAAgQIECBAgAABAgQIECBAgAABAgSGFnAwO7S4+aoX2Lt2PTvHscTY2b2S4pXTxmIRBrm18JzfSTV4lljX3DpK5FAiRon9WSIPnqE4azV41JBDiJTYo7XUkptH7nies2cs3vEs75Fr6nkvuyY86/Ocz8gnAgSmLOBgdsqrr3YCBAgQIECAAAECBAgQIECAAAECBDYicO74pOXMvI7fSJaTj7HTFoj9GO3Bhx5O995z9xxG17/ct+/p649gfff09XfFaOfQ1R/X2vesMseqMY6OjmJo2tramsshrvXl0de/rhhtq7PM0XXPsjHOWmuO55B5xlzt1vY4a62njY/rfTH6+psYbc+4NnSeTR7xZ9PaOcS1vlr6+rtiLDvHWWOU9ox527kOUesqc6wrzzF4nnXvxH3ttq51b5u254i5F9e+rz/GtO9ZHL/YH5/77unr74rRzqGrP66171lljtNi8AyZm9e17d3VH9fa9zRrsk7PrjzaOXT1n5ZnXG/aEDFWnWMZz6inPU+zJk2di/3xefGe9viu/sUYi+MX+9cVY9k8mzyG9lz0WMVr2VpXmWPVPBvPB+6/L0JoBAhMSGAtZ6BxMJvTLp7fzhluLIGiArEfc/fk1b1Hs3MaS4zLO48cxyunjcUiDHJr4Tm/k2rwLLGuuXWUyKFEjBL7s0QePENx1mrwqCGHECmxR2upJTeP3PE8Z89YvONZ3iPX1PNedk141uc5n5FPBAjcKgK5501ddfoqgwmd7CuVAAECBAgQIECAAAECBAgQIECAAIE6BHyVQR3rIItCAs1XGewfHhSKKAwBAgQIECBAgAABAgQIECBAgMDUBdbxVQZ+Ynbqu0r9BAgQIECAAAECBAgQIECAAAECBAgMLuBgdnByExIgQIAAAQIECBAgQIAAAQIECBAgMHUBB7NT3wHqJ0CAAAECBAgQIECAAAECBAgQIEBgcAEHs4OTm7B2gb1r17NTHEuMnd0rKV45bSwWYZBbC8/5nVSDZ4l1za2jRA4lYpTYnyXy4BmKs1aDRw05hEiJPVpLLbl55I7nOXvG4h3P8h65pp73smvCsz7P+Yx8IkBgygIOZqe8+monQIAAAQIECBAgQIAAAQIECBAgQGAjAg5mN8JuUgIECBAgQIAAAQIECBAgQIAAAQIEpizgYHbKq692AgQIECBAgAABAgQIECBAgAABAgQ2InDu+KTlzHxp+0LaPzzICWEsgWICsR+j2ZPFSAUiQIAAAQIECBAgQIAAAQIECExeYB1noH5idvLbCgABAgQIECBAgAABAgQIECBAgAABAkMLOJgdWtx8BAgQIECAAAECBAgQIECAAAECBAhMXsDB7OS3AAACBAgQIECAAAECBAgQIECAAAECBIYWcDA7tLj5qhfYu3Y9O8exxNjZvZLildPGYhEGubXwnN9JNXiWWNfcOkrkUCJGif1ZIg+eoThrNXjUkEOIlNijtdSSm0fueJ6zZyze8SzvkWvqeS+7Jjzr85zPyCcCBKYs4GB2yquvdgIECBAgQIAAAQIECBAgQIAAAQIENiJw7vik5cy8jt9IlpOPsdMWiP0Y7cGHHk733nP3HEbXv9y37+nrj2B99/T1d8Vo59DVH9fa96wyx6oxjo6OYmja2tqayyGu9eXR17+uGG2rs8zRdc+yMc5aa47nkHnGXO3W9jhrraeNj+t9Mfr6mxhtz7g2dJ5NHvFn09o5xLW+Wvr6u2IsO8dZY5T2jHnbuQ5R6ypzrCvPMXiede/Efe22rnVvm7bniLkX176vP8a071kcv9gfn/vu6evvitHOoas/rrXvWWWO02LwDJmb17Xt3dUf19r3NGuyTs+uPNo5dPWflmdcb9oQMVadYxnPqKc9T7MmTZ2L/fF58Z72+K7+xRiL4xf71xVj2TybPIb2XPRYxWvZWleZY9U8G88H7r8vQmgECExIYC1noHEwm9Munt/OGW4sgaICsR9z9+TVvUezcxpLjMs7jxzHK6eNxSIMcmvhOb+TavAssa65dZTIoUSMEvuzRB48Q3HWavCoIYcQKbFHa6klN4/c8Txnz1i841neI9fU8152TXjW5zmfkU8ECNwqArnnTV11+iqDCZ3sK5UAAQIECBAgQIAAAQIECBAgQIAAgToEfJVBHesgi0ICzVcZ7B8eFIooDAECBAgQIECAAAECBAgQIECAwNQF1vFVBn5iduq7Sv0ECBAgQIAAAQIECBAgQIAAAQIECAwu4GB2cHITEiBAgAABAgQIECBAgAABAgQIECAwdQEHs1PfAeq/SaDrN3redFPPhbHE2Nm9kuKV08ZiEQa5tfCc30k1eJZY19w6SuRQIkaJ/VkiD56hOGs1eNSQQ4iU2KO11JKbR+54nrNnLN7xLO+Ra+p5L7smPOvznM/IJwIEpizgYHbKq692AgQIECBAgAABAgQIECBAgAABAgQ2IuBgdiPsJiVAgAABAgQIECBAgAABAgQIECBAYMoCDmanvPpqJ0CAAAECBAgQIECAAAECBAgQIEBgIwIOZjfCblICBAgQIECAAAECBAgQIECAAAECBKYscO74pOUAXNq+kPYPD3JCGEugmEDsx2j2ZDFSgQgQIECAAAECBAgQIECAAAECkxdYxxmon5id/LYCQIAAAQIECBAgQIAAAQIECBAgQIDA0AIOZocWNx8BAgQIECBAgAABAgQIECBAgAABApMXcDA7+S0AgAABAgQIECBAgAABAgQIECBAgACBoQUczA4tbr7qBfauXc/OcSwxdnavpHjltLFYhEFuLTznd1INniXWNbeOEjmUiFFif5bIg2cozloNHjXkECIl9mgtteTmkTue5+wZi3c8y3vkmnrey64Jz/o85zPyiQCBKQv45V9TXv3Ka29+kdcqab7rx348PXD/fXND4z9IFlv7nr7+GNt3T19/V4x2Dl39ca19zypzlIjRzmFMeXbVMkSty86xqTztnRCYtb516+uPSO17Vnme2+Mj3hAxVpljE7XK8/n/3rtV9s6tkqc9HgKz1l63W+VZjOwXc23X0dUf19r3LI5f7O+K0R7f1b+OGKvkuZjHKjGWrXWVOeQZArPWZ97XH5Ha91iT0/9ubTvNVsA7AgTGLOCXf415ddVGgAABAgQIECBAgAABAgQIECBAgMB0BI4z28Xz25kRDCdQTiD2Y+6evLr3aHZCY4lxeeeR43jltLFYhEFuLTznd1INniXWNbeOEjmUiFFif5bIg2cozloNHjXkECIl9mgtteTmkTue5+wZi3c8y3vkmnrey64Jz/o85zPyiQCBW0Ug97ypq07fMTudM3iVEiBAgAABAgQIECBAgAABAgQIECBQiYDvmK1kIaRRRqD5Xtr9w4MyAUUhQIAAAQIECBAgQIAAAQIECBCYvIDvmJ38FgBAgAABAgQIECBAgAABAgQIECBAgMAYBHyVwRhWUQ0ECBAgQIAAAQIECBAgQIAAAQIECNxSAg5mb6nlkuwQAnvXrmdPM5YYO7tXUrxy2lgswiC3Fp7zO6kGzxLrmltHiRxKxCixP0vkwTMUZ60GjxpyCJESe7SWWnLzyB3Pc/aMxTue5T1yTT3vZdeEZ32e8xn5RIDAlAUczE559dVOgAABAgQIECBAgAABAgQIECBAgMBGBBzMboTdpAQIECBAgAABAgQIECBAgAABAgQITFnAweyUV1/tBAgQIECAAAECBAgQIECAAAECBAhsRMDB7EbYTUqAAAECBAgQIECAAAECBAgQIECAwJQFzh2ftByAS9sX0v7hQU4IYwkUE4j9GM2eLEYqEAECBAgQIECAAAECBAgQIEBg8gLrOAP1E7OT31YACBAgQIAAAQIECBAgQIAAAQIECBAYWsDB7NDi5iNAgAABAgQIECBAgAABAgQIECBAYPICDmYnvwUAECBAgAABAgQIECBAgAABAgQIECAwtICD2aHFzVe9wN6169k5jiXGzu6VFK+cNhaLMMithef8TqrBs8S65tZRIocSMUrszxJ58AzFWavBo4YcQqTEHq2lltw8csfznD1j8Y5neY9cU8972TXhWZ/nfEY+ESAwZQG//GvKqz/C2ptf/vXgQw+ne++5e67Crv9AbN/T1x/B+u7p6++K0c6hqz+ute9ZZY5VYxwdHcXQtLW1NZdDXOvLo69/XTHaVmeZo+ueZWOctdYczyHzjLnare1x1lpPGx/X+2L09Tcx2p5xbeg8mzziz6a1c4hrfbX09XfFWHaOs8Yo7RnztnMdotZV5lhXnmPwPOveifvabV3r3jZtzxFzL659X3+Mad+zOH6xPz733dPX3xWjnUNXf1xr37PKHKfF4BkyN69r27urP66172nWZJ2eXXm0c+jqPy3PuN60IWKsOscynlFPe55mTZo6F/vj8+I97fFd/YsxFscv9q8rxrJ5NnkM7bnosYrXsrWuMseqeTaeD9x/X4TQCBCYkMA6fvlXOs5sF89vZ0YwnEA5gdiPuXvy6t6j2QmNJcblnUeO45XTxmIRBrm18JzfSTV4lljX3DpK5FAiRon9WSIPnqE4azV41JBDiJTYo7XUkptH7nies2cs3vEs75Fr6nkvuyY86/Ocz8gnAgRuFYHc86auOn2VwYRO9pVKgAABAgQIECBAgAABAgQIECBAgEAdAr7KoI51kEUhgearDPYPDwpFFIYAAQIECBAgQIAAAQIECBAgQGDqAuv4KgM/MTv1XaV+AgQIECBAgAABAgQIECBAgAABAgQGF3AwOzi5CQkQIECAAAECBAgQIECAAAECBAgQmLqAg9mp7wD1EyBAgAABAgQIECBAgAABAgQIECAwuICD2cHJTVi7wN6169kpjiXGzu6VFK+cNhaLMMithef8TqrBs8S65tZRIocSMUrszxJ58AzFWavBo4YcQqTEHq2lltw8csfznD1j8Y5neY9cU8972TXhWZ/nfEY+ESAwZQEHs1NefbUTIECAAAECBAgQIECAAAECBAgQILARAQezG2E3KQECBAgQIECAAAECBAgQIECAAAECUxZwMDvl1Vc7AQIECBAgQIAAAQIECBAgQIAAAQIbEXAwuxF2kxIgQIAAAQIECBAgQIAAAQIECBAgMGWBc8cnLQfg0vaFtH94kBPCWALFBGI/RrMni5EKRIAAAQIECBAgQIAAAQIECBCYvMA6zkD9xOzktxUAAgQIECBAgAABAgQIECBAgAABAgSGFnAwO7S4+QgQIECAAAECBAgQIECAAAECBAgQmLyAg9nJbwEAiwJ7164vXlr681hi7OxeSfHKaWOxCIPcWnjO76QaPEusa24dJXIoEaPE/iyRB89QnLUaPGrIIURK7NFaasnNI3c8z9kzFu94lvfINfW8l10TnvV5zmfkEwECUxZwMDvl1Vc7AQIECBAgQIAAAQIECBAgQIAAAQIbEfDLvzbCbtJ1CTS//OvBhx5O995z99w0Xf9y376nrz+C9d3T198Vo51DV39ca9+zyhyrxjg6OoqhaWtray6HuNaXR1//umK0rc4yR9c9y8Y4a605nkPmGXO1W9vjrLWeNj6u98Xo629itD3j2tB5NnnEn01r5xDX+mrp6++KsewcZ41R2jPmbec6RK2rzLGuPMfgeda9E/e127rWvW3aniPmXlz7vv4Y075ncfxif3zuu6evvytGO4eu/rjWvmeVOU6LwTNkbl7XtndXf1xr39OsyTo9u/Jo59DVf1qecb1pQ8RYdY5lPKOe9jzNmjR1LvbH58V72uO7+hdjLI5f7F9XjGXzbPIY2nPRYxWvZWtdZY5V82w8H7j/vgihESAwIYF1/PKvdJzZLp7fzoxgOIFyArEfc/fk1b1HsxMaS4zLO48cxyunjcUiDHJr4Tm/k2rwLLGuuXWUyKFEjBL7s0QePENx1mrwqCGHECmxR2upJTeP3PE8Z89YvONZ3iPX1PNedk141uc5n5FPBAjcKgK5501ddfoqgwmd7CuVAAECBAgQIECAAAECBAgQIECAAIE6BHyVQR3rIItCAs1XGewfHhSKKAwBAgQIECBAgAABAgQIECBAgMDUBdbxVQZ+Ynbqu0r9BAgQIECAAAECBAgQIECAAAECBAgMLuBgdnByExIgQIAAAQIECBAgQIAAAQIECBAgMHUBB7NT3wHqJ0CAAAECBAgQIECAAAECBAgQIEBgcAEHs4OTm7B2gb1r17NTHEuMnd0rKV45bSwWYZBbC8/5nVSDZ4l1za2jRA4lYpTYnyXy4BmKs1aDRw05hEiJPVpLLbl55I7nOXvG4h3P8h65pp73smvCsz7P+Yx8IkBgygIOZqe8+monQIAAAQIECBAgQIAAAQIECBAgQGAjAg5mN8JuUgIECBAgQIAAAQIECBAgQIAAAQIEpizgYHbKq692AgQIECBAgAABAgQIECBAgAABAgQ2IuBgdiPsJiVAgAABAgQIECBAgAABAgQIECBAYMoC545PWg7Ape0Laf/wICeEsQSKCcR+jGZPFiMViAABAgQIECBAgAABAgQIECAweYF1nIH6idnJbysABAgQIECAAAECBAgQIECAAAECBAgMLeBgdmhx8xEgQIAAAQIECBAgQIAAAQIECBAgMHkBB7OT3wIAFgX2rl1fvLT057HE2Nm9kuKV08ZiEQa5tfCc30k1eJZY19w6SuRQIkaJ/VkiD56hOGs1eNSQQ4iU2KO11JKbR+54nrNnLN7xLO+Ra+p5L7smPOvznM/IJwIEpizgYHbKq692AgQIECBAgAABAgQIECBAgAABAgQ2IuCXf22E3aTrEmh++deDDz2c7r3n7rlpuv7lvn1PX38E67unr78rRjuHrv641r5nlTlWjXF0dBRD09bW1lwOca0vj77+dcVoW51ljq57lo1x1lpzPIfMM+Zqt7bHWWs9bXxc74vR19/EaHvGtaHzbPKIP5vWziGu9dXS198VY9k5zhqjtGfM2851iFpXmWNdeY7B86x7J+5rt3Wte9u0PUfMvbj2ff0xpn3P4vjF/vjcd09ff1eMdg5d/XGtfc8qc5wWg2fI3Lyube+u/rjWvqdZk3V6duXRzqGr/7Q843rThoix6hzLeEY97XmaNWnqXOyPz4v3tMd39S/GWBy/2L+uGMvm2eQxtOeixypey9a6yhyr5tl4PnD/fRFCI0BgQgLr+OVf6TizXTy/nRnBcALlBGI/5u7Jq3uPZic0lhiXdx45jldOG4tFGOTWwnN+J9XgWWJdc+sokUOJGCX2Z4k8eIbirNXgUUMOIVJij9ZSS24eueN5zp6xeMezvEeuqee97JrwrM9zPiOfCBC4VQRyz5u66vRVBhM62VcqAQIECBAgQIAAAQIECBAgQIAAAQJ1CPgqgzrWQRaFBJqvMtg/PCgUURgCBAgQIECAAAECBAgQIECAAIGpC6zjqwz8xOzUd5X6CRAgQIAAAQIECBAgQIAAAQIECBAYXMDB7ODkJiRAgAABAgQIECBAgAABAgQIECBAYOoCDmanvgPUT4AAAQIECBAgQIAAAQIECBAgQIDA4AIOZgcnN2HtAnvXrmenOJYYO7tXUrxy2lgswiC3Fp7zO6kGzxLrmltHiRxKxCixP0vkwTMUZ60GjxpyCJESe7SWWnLzyB3Pc/aMxTue5T1yTT3vZdeEZ32e8xn5RIDAlAUczE559dVOgAABAgQIECBAgAABAgQIECBAgMBGBBzMboTdpAQIECBAgAABAgQIECBAgAABAgQITFnAweyUV1/tBAgQIECAAAECBAgQIECAAAECBAhsRODc8UnLmfnS9oW0f3iQE8JYAsUEYj9GsyeLkQpEgAABAgQIECBAgAABAgQIEJi8wDrOQP3E7OS3FQACBAgQIECAAAECBAgQIECAAAECBIYWcDA7tLj5CBAgQIAAAQIECBAgQIAAAQIECBCYvICD2clvAQAECBAgQIAAAQIECBAgQIAAAQIECAwt4GB2aHHzVS+wd+16do5jibGzeyXFK6eNxSIMcmvhOb+TavAssa65dZTIoUSMEvuzRB48Q3HWavCoIYcQKbFHa6klN4/c8Txnz1i841neI9fU8152TXjW5zmfkU8ECExZwMHslFdf7QQIECBAgAABAgQIECBAgAABAgQIbETg3PFJy5l5Hb+RLCcfY6ctEPsx2oMPPZzuvefuOYyuf7lv39PXH8H67unr74rRzqGrP66171lljlVjHB0dxdC0tbU1l0Nc68ujr39dMdpWZ5mj655lY5y11hzPIfOMudqt7XHWWk8bH9f7YvT1NzHannFt6DybPOLPprVziGt9tfT1d8VYdo6zxijtGfO2cx2i1lXmWFeeY/A8696J+9ptXeveNm3PEXMvrn1ff4xp37M4frE/Pvfd09ffFaOdQ1d/XGvfs8ocp8XgGTI3r2vbu6s/rrXvadZknZ5debRz6Oo/Lc+43rQhYqw6xzKeUU97nmZNmjoX++Pz4j3t8V39izEWxy/2ryvGsnk2eQztueixiteyta4yx6p5Np4P3H9fhNAIEJiQwFrOQONgNqddPL+dM9xYAkUFYj/m7smre49m5zSWGJd3HjmOV04bi0UY5NbCc34n1eBZYl1z6yiRQ4kYJfZniTx4huKs1eBRQw4hUmKP1lJLbh6543nOnrF4x7O8R66p573smvCsz3M+I58IELhVBHLPm7rq9FUGEzrZVyoBAgQIECBAgAABAgQIECBAgAABAnUI+CqDOtZBFoUEmq8y2D88KBRRGAIECBAgQIAAAQIECBAgQIAAgakLrOOrDPzE7NR3lfoJECBAgAABAgQIECBAgAABAgQIEBhcwMHs4OQmJECAAAECBAgQIECAAAECBAgQIEBg6gIOZqe+A9R/k0DXb/S86aaeC2OJsbN7JcUrp43FIgxya+E5v5Nq8Cyxrrl1lMihRIwS+7NEHjxDcdZq8KghhxApsUdrqSU3j9zxPGfPWLzjWd4j19TzXnZNeNbnOZ+RTwQITFnAweyUV1/tBAgQIECAAAECBAgQIECAAAECBAhsRMDB7EbYTUqAAAECBAgQIECAAAECBAgQIECAwJQFHMxOefXVToAAAQIECBAgQIAAAQIECBAgQIDARgQczG6E3aQECBAgQIAAAQIECBAgQIAAAQIECExZ4NzxScsBuLR9Ie0fHuSEMJZAMYHYj9HsyWKkAhEgQIAAAQIECBAgQIAAAQIEJi+wjjNQPzE7+W0FgAABAgQIECBAgAABAgQIECBAgACBoQUczA4tbj4CBAgQIECAAAECBAgQIECAAAECBCYv4GB28lsAAAECBAgQIECAAAECBAgQIECAAAECQws4mB1a3HzVC+xdu56d41hi7OxeSfHKaWOxCIPcWnjO76QaPEusa24dJXIoEaPE/iyRB89QnLUaPGrIIURK7NFaasnNI3c8z9kzFu94lvfINfW8l10TnvV5zmfkEwECUxbwy7+mvPq3QO3NL/NaNtV3/diPpwfuv29uWPwHyWJr39PXH2P77unr74rRzqGrP66171lljhIx2jmMKc+uWoaoddk5NpWnvRMCs9a3bn39Eal9zyrPc3t8xBsixipzbKJWeT7/33u3yt65VfK0x0Ng1trrdqs8i5H9Yq7tOrr641r7nsXxi/1dMdrju/rXEWOVPBfzWCXGsrWuMoc8Q2DW+sz7+iNS+x5rcvrfrW2n2Qp4R4DAmAX88q8xr67abhJY9VD2pkAuECBAgAABAgQIECBAgAABAgQIEKhN4DizXTy/nRnBcALlBGI/5u7Jq3uPZic0lhiXdx45jldOG4tFGOTWwnN+J9XgWWJdc+sokUOJGCX2Z4k8eIbirNXgUUMOIVJij9ZSS24eueN5zp6xeMezvEeuqee97JrwrM9zPiOfCBC4VQRyz5u66vQds7WdlMuHAAECBAgQIECAAAECBAgQIECAAIHRC/iO2dEv8bQKbL7+YP/wYFqFq5YAAQIECBAgQIAAAQIECBAgQGBtAr5jdm20AhMgQIAAAQIECBAgQIAAAQIECBAgQGA4AV9lMJy1mQgQIECAAAECBAgQIECAAAECBAgQIPC0gINZG4HAgsDetesLV5b/OJYYO7tXUrxy2lgswiC3Fp7zO6kGzxLrmltHiRxKxCixP0vkwTMUZ60GjxpyCJESe7SWWnLzyB3Pc/aMxTue5T1yTT3vZdeEZ32e8xn5RIDAlAUczE559dVOgAABAgQIECBAgAABAgQIECBAgMBGBBzMboTdpAQIECBAgAABAgQIECBAgAABAgQITFnAweyUV1/tBAgQIECAAAECBAgQIECAAAECBAhsRMDB7EbYTUqAAAECBAgQIECAAAECBAgQIECAwJQFzh2ftByAS9sX0v7hQU4IYwkUE4j9GM2eLEYqEAECBAgQIECAAAECBAgQIEBg8gLrOAP1E7OT31YACBAgQIAAAQIECBAgQIAAAQIECBAYWsDB7NDi5iNAgAABAgQIECBAgAABAgQIECBAYPICDmYnvwUAECBAgAABAgQIECBAgAABAgQIECAwtICD2aHFzVe9wN6169k5jiXGzu6VFK+cNhaLMMithef8TqrBs8S65tZRIocSMUrszxJ58AzFWavBo4YcQqTEHq2lltw8csfznD1j8Y5neY9cU8972TXhWZ/nfEY+ESAwZQEHs1NefbUTIECAAAECBAgQIECAAAECBAgQILARgXPHJy1n5nX8RrKcfIydtkDsx2gPPvRwuveeu+cwuv7lvn1PX38E67unr78rRjuHrv641r5nlTlWjXF0dBRD09bW1lwOca0vj77+dcVoW51ljq57lo1x1lpzPIfMM+Zqt7bHWWs9bXxc74vR19/EaHvGtaHzbPKIP5vWziGu9dXS198VY9k5zhqjtGfM2851iFpXmWNdeY7B86x7J+5rt3Wte9u0PUfMvbj2ff0xpn3P4vjF/vjcd09ff1eMdg5d/XGtfc8qc5wWg2fI3Lyube+u/rjWvqdZk3V6duXRzqGr/7Q843rThoix6hzLeEY97XmaNWnqXOyPz4v3tMd39S/GWBy/2L+uGMvm2eQxtOeixypey9a6yhyr5tl4PnD/fRFCI0BgQgJrOQONg9mcdvH8ds5wYwkUFYj9mLsnr+49mp3TWGJc3nnkOF45bSwWYZBbC8/5nVSDZ4l1za2jRA4lYpTYnyXy4BmKs1aDRw05hEiJPVpLLbl55I7nOXvG4h3P8h65pp73smvCsz7P+Yx8IkDgVhHIPW/qqtNPzE7oZH8KpTY/Mbt/eDCFctVIgAABAgQIECBAgAABAgQIECAwgMA6fmLWd8wOsHCmIECAAAECBAgQIECAAAECBAgQIECAQFvAwWxbw3sCBAgQIECAAAECBAgQIECAAAECBAgMIOBgdgBkUxAgQIAAAQIECBAgQIAAAQIECBAgQKAt4GC2reE9gROBrt/ouSzMWGLs7F5J8cppY7EIg9xaeM7vpBo8S6xrbh0lcigRo8T+LJEHz1CctRo8asghRErs0Vpqyc0jdzzP2TMW73iW98g19byXXROe9XnOZ+QTAQJTFnAwO+XVVzsBAgQIECBAgAABAgQIECBAgAABAhsRcDC7EXaTEiBAgAABAgQIECBAgAABAgQIECAwZQEHs1NefbUTIECAAAECBAgQIECAAAECBAgQILARAQezG2E3KQECBAgQIECAAAECBAgQIECAAAECUxY4d3zScgAubV9I+4cHOSGMJVBMIPZjNHuyGKlABAgQIECAAAECBAgQIECAAIHJC6zjDNRPzE5+WwEgQIAAAQIECBAgQIAAAQIECBAgQGBoAQezQ4ubjwABAgQIECBAgAABAgQIECBAgACByQs4mJ38FgBAgAABAgQIECBAgAABAgQIECBAgMDQAg5mhxY3X/UCe9euZ+c4lhg7u1dSvHLaWCzCILcWnvM7qQbPEuuaW0eJHErEKLE/S+TBMxRnrQaPGnIIkRJ7tJZacvPIHc9z9ozFO57lPXJNPe9l14RnfZ7zGflEgMCUBfzyrymv/ghrb37514MPPZzuvefuuQq7/gOxfU9ffwTru6evvytGO4eu/rjWvmeVOVaNcXR0FEPT1tbWXA5xrS+Pvv51xWhbnWWOrnuWjXHWWnM8h8wz5mq3tsdZaz1tfFzvi9HX38Roe8a1ofNs8og/m9bOIa711dLX3xVj2TnOGqO0Z8zbznWIWleZY115jsHzrHsn7mu3da1727Q9R8y9uPZ9/TGmfc/i+MX++Nx3T19/V4x2Dl39ca19zypznBaDZ8jcvK5t767+uNa+p1mTdXp25dHOoav/tDzjetOGiLHqHMt4Rj3teZo1aepc7I/Pi/e0x3f1L8ZYHL/Yv64Yy+bZ5DG056LHKl7L1rrKHKvm2Xg+cP99EUIjQGBCAuv45V/pOLNdPL+dGcFwAuUEYj/m7smre49mJzSWGJd3HjmOV04bi0UY5NbCc34n1eBZYl1z6yiRQ4kYJfZniTx4huKs1eBRQw4hUmKP1lJLbh6543nOnrF4x7O8R66p573smvCsz3M+I58IELhVBHLPm7rq9FUGEzrZVyoBAgQIECBAgAABAgQIECBAgAABAnUI+CqDOtZBFoUEmq8y2D88KBRRGAIECBAgQIAAAQIECBAgQIAAgakLrOOrDPzE7NR3lfoJECBAgAABAgQIECBAgAABAgQIEBhcwMHs4OQmJECAAAECBAgQIECAAAECBAgQIEBg6gIOZqe+A9RPgAABAgQIECBAgAABAgQIECBAgMDgAg5mByc3Ye0Ce9euZ6c4lhg7u1dSvHLaWCzCILcWnvM7qQbPEuuaW0eJHErEKLE/S+TBMxRnrQaPGnIIkRJ7tJZacvPIHc9z9ozFO57lPRmYFdYAAEAASURBVHJNPe9l14RnfZ7zGflEgMCUBRzMTnn11U6AAAECBAgQIECAAAECBAgQIECAwEYEHMxuhN2kBAgQIECAAAECBAgQIECAAAECBAhMWcDB7JRXX+0ECBAgQIAAAQIECBAgQIAAAQIECGxEwMHsRthNSoAAAQIECBAgQIAAAQIECBAgQIDAlAXOHZ+0HIBL2xfS/uFBTghjCRQTiP0YzZ4sRioQAQIECBAgQIAAAQIECBAgQGDyAus4A/UTs5PfVgAIECBAgAABAgQIECBAgAABAgQIEBhawMHs0OLmI0CAAAECBAgQIECAAAECBAgQIEBg8gIOZie/BQAsCuxdu754aenPY4mxs3slxSunjcUiDHJr4Tm/k2rwLLGuuXWUyKFEjBL7s0QePENx1mrwqCGHECmxR2upJTeP3PE8Z89YvONZ3iPX1PNedk141uc5n5FPBAhMWcDB7JRXX+0ECBAgQIAAAQIECBAgQIAAAQIECGxEwC//2gi7Sdcl0Pzyrwcfejjde8/dc9N0/ct9+56+/gjWd09ff1eMdg5d/XGtfc8qc6wa4+joKIamra2tuRziWl8eff3ritG2OsscXfcsG+OsteZ4DplnzNVubY+z1nra+LjeF6Ovv4nR9oxrQ+fZ5BF/Nq2dQ1zrq6WvvyvGsnOcNUZpz5i3nesQta4yx7ryHIPnWfdO3Ndu61r3tml7jph7ce37+mNM+57F8Yv98bnvnr7+rhjtHLr641r7nlXmOC0Gz5C5eV3b3l39ca19T7Mm6/TsyqOdQ1f/aXnG9aYNEWPVOZbxjHra8zRr0tS52B+fF+9pj+/qX4yxOH6xf10xls2zyWNoz0WPVbyWrXWVOVbNs/F84P77IoRGgMCEBNbxy7/ScWa7eH47M4LhBMoJxH7M3ZNX9x7NTmgsMS7vPHIcr5w2FoswyK2F5/xOqsGzxLrm1lEihxIxSuzPEnnwDMVZq8GjhhxCpMQeraWW3Dxyx/OcPWPxjmd5j1xTz3vZNeFZn+d8Rj4RIHCrCOSeN3XV6asMJnSyr1QCBAgQIECAAAECBAgQIECAAAECBOoQ8FUGdayDLAoJNF9lsH94UCiiMAQIECBAgAABAgQIECBAgAABAlMXWMdXGfiJ2anvKvUTIECAAAECBAgQIECAAAECBAgQIDC4gIPZwclNSIAAAQIECBAgQIAAAQIECBAgQIDA1AUczE59B6ifAAECBAgQIECAAAECBAgQIECAAIHBBRzMDk5uwtoF9q5dz05xLDF2dq+keOW0sViEQW4tPOd3Ug2eJdY1t44SOZSIUWJ/lsiDZyjOWg0eNeQQIiX2aC215OaRO57n7BmLdzzLe+Saet7LrgnP+jznM/KJAIEpCziYnfLqq50AAQIECBAgQIAAAQIECBAgQIAAgY0IOJjdCLtJCRAgQIAAAQIECBAgQIAAAQIECBCYsoCD2SmvvtoJECBAgAABAgQIECBAgAABAgQIENiIwLnjk5Yz86XtC2n/8CAnhLEEignEfoxmTxYjFYgAAQIECBAgQIAAAQIECBAgMHmBdZyB+onZyW8rAAQIECBAgAABAgQIECBAgAABAgQIDC3gYHZocfMRIECAAAECBAgQIECAAAECBAgQIDB5AQezk98CAAgQIECAAAECBAgQIECAAAECBAgQGFrAwezQ4uarXmDv2vXsHMcSY2f3SopXThuLRRjk1sJzfifV4FliXXPrKJFDiRgl9meJPHiG4qzV4FFDDiFSYo/WUktuHrnjec6esXjHs7xHrqnnveya8KzPcz4jnwgQmLKAg9kpr77aCRAgQIAAAQIECBAgQIAAAQIECBDYiMC545OWM/M6fiNZTj7GTlsg9mO0Bx96ON17z91zGF3/ct++p68/gvXd09ffFaOdQ1d/XGvfs8ocq8Y4OjqKoWlra2suh7jWl0df/7pitK3OMkfXPcvGOGutOZ5D5hlztVvb46y1njY+rvfF6OtvYrQ949rQeTZ5xJ9Na+cQ1/pq6evvirHsHGeNUdoz5m3nOkStq8yxrjzH4HnWvRP3tdu61r1t2p4j5l5c+77+GNO+Z3H8Yn987runr78rRjuHrv641r5nlTlOi8EzZG5e17Z3V39ca9/TrMk6PbvyaOfQ1X9annG9aUPEWHWOZTyjnvY8zZo0dS72x+fFe9rju/oXYyyOX+xfV4xl82zyGNpz0WMVr2VrXWWOVfNsPB+4/74IoREgMCGBtZyBxsFsTrt4fjtnuLEEigrEfszdk1f3Hs3OaSwxLu88chyvnDYWizDIrYXn/E6qwbPEuubWUSKHEjFK7M8SefAMxVmrwaOGHEKkxB6tpZbcPHLH85w9Y/GOZ3mPXFPPe9k14Vmf53xGPhEgcKsI5J43ddXpqwwmdLKvVAIECBAgQIAAAQIECBAgQIAAAQIE6hDwVQZ1rIMsCgk0X2Wwf3hQKKIwBAgQIECAAAECBAgQIECAAAECUxdYx1cZ+InZqe8q9RMgQIAAAQIECBAgQIAAAQIECBAgMLiAg9nByU1IgAABAgQIECBAgAABAgQIECBAgMDUBRzMTn0HqJ8AAQIECBAgQIAAAQIECBAgQIAAgcEFHMwOTm7C2gX2rl3PTnEsMXZ2r6R45bSxWIRBbi0853dSDZ4l1jW3jhI5lIhRYn+WyINnKM5aDR415BAiJfZoLbXk5pE7nufsGYt3PMt75Jp63suuCc/6POcz8okAgSkLOJid8uqrnQABAgQIECBAgAABAgQIECBAgACBjQg4mN0Iu0kJECBAgAABAgQIECBAgAABAgQIEJiygIPZKa++2gkQIECAAAECBAgQIECAAAECBAgQ2IjAueOTljPzpe0Laf/wICeEsQSKCcR+jGZPFiMViAABAgQIECBAgAABAgQIECAweYF1nIH6idnJbysABAgQIECAAAECBAgQIECAAAECBAgMLeBgdmhx8xEgQIAAAQIECBAgQIAAAQIECBAgMHkBB7OT3wIACBAgQIAAAQIECBAgQIAAAQIECBAYWsDB7NDi5qteYO/a9ewcxxJjZ/dKildOG4tFGOTWwnN+J9XgWWJdc+sokUOJGCX2Z4k8eIbirNXgUUMOIVJij9ZSS24eueN5zp6xeMezvEeuqee97JrwrM9zPiOfCBCYsoBf/jXl1b8Fam9+mdeyqb7rx348PXD/fXPD4j9IFlv7nr7+GNt3T19/V4x2Dl39ca19zypzlIjRzmFMeXbVMkSty86xqTztnRCYtb516+uPSO17Vnme2+Mj3hAxVpljE7XK8/n/3rtV9s6tkqc9HgKz1l63W+VZjOwXc23X0dUf19r3LI5f7O+K0R7f1b+OGKvkuZjHKjGWrXWVOeQZArPWZ97XH5Ha91iT0/9ubTvNVsA7AgTGLOCXf415ddV2k8Cqh7I3BXKBAAECBAgQIECAAAECBAgQIECAQG0Cx5nt4vntzAiGEygnEPsxd09e3Xs0O6GxxLi888hxvHLaWCzCILcWnvM7qQbPEuuaW0eJHErEKLE/S+TBMxRnrQaPGnIIkRJ7tJZacvPIHc9z9ozFO57lPXJNPe9l14RnfZ7zGflEgMCtIpB73tRVp++Yre2kXD4ECBAgQIAAAQIECBAgQIAAAQIECIxewHfMjn6Jp1Vg8/UH+4cH0ypctQQIECBAgAABAgQIECBAgAABAmsT8B2za6MVmAABAgQIECBAgAABAgQIECBAgAABAsMJ+CqD4azNRIAAAQIECBAgQIAAAQIECBAgQIAAgacFHMzaCAQWBPauXV+4svzHscTY2b2S4pXTxmIRBrm18JzfSTV4lljX3DpK5FAiRon9WSIPnqE4azV41JBDiJTYo7XUkptH7nies2cs3vEs75Fr6nkvuyY86/Ocz8gnAgSmLOBgdsqrr3YCBAgQIECAAAECBAgQIECAAAECBDYi4GB2I+wmJUCAAAECBAgQIECAAAECBAgQIEBgygIOZqe8+monQIAAAQIECBAgQIAAAQIECBAgQGAjAg5mN8JuUgIECBAgQIAAAQIECBAgQIAAAQIEpixw7vik5QBc2r6Q9g8PckIYS6CYQOzHaPZkMVKBCBAgQIAAAQIECBAgQIAAAQKTF1jHGaifmJ38tgJAgAABAgQIECBAgAABAgQIECBAgMDQAg5mhxY3HwECBAgQIECAAAECBAgQIECAAAECkxdwMDv5LQCAAAECBAgQIECAAAECBAgQIECAAIGhBRzMDi1uvuoF9q5dz85xLDF2dq+keOW0sViEQW4tPOd3Ug2eJdY1t44SOZSIUWJ/lsiDZyjOWg0eNeQQIiX2aC215OaRO57n7BmLdzzLe+Saet7LrgnP+jznM/KJAIEpCziYnfLqq50AAQIECBAgQIAAAQIECBAgQIAAgY0InDs+aTkzr+M3kuXkY+y0BWI/RnvwoYfTvffcPYfR9S/37Xv6+iNY3z19/V0x2jl09ce19j2rzLFqjKOjoxiatra25nKIa3159PWvK0bb6ixzdN2zbIyz1prjOWSeMVe7tT3OWutp4+N6X4y+/iZG2zOuDZ1nk0f82bR2DnGtr5a+/q4Yy85x1hilPWPedq5D1LrKHOvKcwyeZ907cV+7rWvd26btOWLuxbXv648x7XsWxy/2x+e+e/r6u2K0c+jqj2vte1aZ47QYPEPm5nVte3f1x7X2Pc2arNOzK492Dl39p+UZ15s2RIxV51jGM+ppz9OsSVPnYn98XrynPb6rfzHG4vjF/nXFWDbPJo+hPRc9VvFattZV5lg1z8bzgfvvixAaAQITEljLGWgczOa0i+e3c4YbS6CoQOzH3D15de/R7JzGEuPyziPH8cppY7EIg9xaeM7vpBo8S6xrbh0lcigRo8T+LJEHz1CctRo8asghRErs0Vpqyc0jdzzP2TMW73iW98g19byXXROe9XnOZ+QTAQK3ikDueVNXnb7KYEIn+0olQIAAAQIECBAgQIAAAQIECBAgQKAOAV9lUMc6yKKQQPNVBvuHB4UiCkOAAAECBAgQIECAAAECBAgQIDB1gXV8lYGfmJ36rlI/AQIECBAgQIAAAQIECBAgQIAAAQKDCziYHZzchAQIECBAgAABAgQIECBAgAABAgQITF3AwezUd4D6bxLo+o2eN93Uc2EsMXZ2r6R45bSxWIRBbi0853dSDZ4l1jW3jhI5lIhRYn+WyINnKM5aDR415BAiJfZoLbXk5pE7nufsGYt3PMt75Jp63suuCc/6POcz8okAgSkLOJid8uqrnQABAgQIECBAgAABAgQIECBAgACBjQg4mN0Iu0kJECBAgAABAgQIECBAgAABAgQIEJiygIPZKa++2gkQIECAAAECBAgQIECAAAECBAgQ2IiAg9mNsJuUAAECBAgQIECAAAECBAgQIECAAIEpC5w7Pmk5AJe2L6T9w4OcEMYSKCYQ+zGaPVmMVCACBAgQIECAAAECBAgQIECAwOQF1nEG6idmJ7+tABAgQIAAAQIECBAgQIAAAQIECBAgMLSAg9mhxc1HgAABAgQIECBAgAABAgQIECBAgMDkBRzMTn4LACBAgAABAgQIECBAgAABAgQIECBAYGgBB7NDi5uveoG9a9ezcxxLjJ3dKyleOW0sFmGQWwvP+Z1Ug2eJdc2to0QOJWKU2J8l8uAZirNWg0cNOYRIiT1aSy25eeSO5zl7xuIdz/Ieuaae97JrwrM+z/mMfCJAYMoCfvnXlFd/hLU3v/zrwYceTvfec/dchV3/gdi+p68/gvXd09ffFaOdQ1d/XGvfs8ocq8Y4OjqKoWlra2suh7jWl0df/7pitK3OMkfXPcvGOGutOZ5D5hlztVvb46y1njY+rvfF6OtvYrQ949rQeTZ5xJ9Na+cQ1/pq6evvirHsHGeNUdoz5m3nOkStq8yxrjzH4HnWvRP3tdu61r1t2p4j5l5c+77+GNO+Z3H8Yn987runr78rRjuHrv641r5nlTlOi8EzZG5e17Z3V39ca9/TrMk6PbvyaOfQ1X9annG9aUPEWHWOZTyjnvY8zZo0dS72x+fFe9rju/oXYyyOX+xfV4xl82zyGNpz0WMVr2VrXWWOVfNsPB+4/74IoREgMCGBdfzyr3Sc2S6e386MYDiBcgKxH3P35NW9R7MTGkuMyzuPHMcrp43FIgxya+E5v5Nq8Cyxrrl1lMihRIwS+7NEHjxDcdZq8KghhxApsUdrqSU3j9zxPGfPWLzjWd4j19TzXnZNeNbnOZ+RTwQI3CoCuedNXXX6KoMJnewrlQABAgQIECBAgAABAgQIECBAgACBOgR8lUEd6yCLQgLNVxnsHx4UiigMAQIECBAgQIAAAQIECBAgQIDA1AXW8VUGfmJ26rtK/QQIECBAgAABAgQIECBAgAABAgQIDC7gYHZwchMSIECAAAECBAgQIECAAAECBAgQIDB1AQezU98B6idAgAABAgQIECBAgAABAgQIECBAYHABB7ODk5uwdoG9a9ezUxxLjJ3dKyleOW0sFmGQWwvP+Z1Ug2eJdc2to0QOJWKU2J8l8uAZirNWg0cNOYRIiT1aSy25eeSO5zl7xuIdz/Ieuaae97JrwrM+z/mMfCJAYMoCDmanvPpqJ0CAAAECBAgQIECAAAECBAgQIEBgIwIOZjfCblICBAgQIECAAAECBAgQIECAAAECBKYs4GB2yquvdgIECBAgQIAAAQIECBAgQIAAAQIENiLgYHYj7CYlQIAAAQIECBAgQIAAAQIECBAgQGDKAueOT1oOwKXtC2n/8CAnhLEEignEfoxmTxYjFYgAAQIECBAgQIAAAQIECBAgMHmBdZyB+onZyW8rAAQIECBAgAABAgQIECBAgAABAgQIDC3gYHZocfMRIECAAAECBAgQIECAAAECBAgQIDB5AQezk98CABYF9q5dX7y09OexxNjZvZLildPGYhEGubXwnN9JNXiWWNfcOkrkUCJGif1ZIg+eoThrNXjUkEOIlNijtdSSm0fueJ6zZyze8SzvkWvqeS+7Jjzr85zPyCcCBKYs4GB2yquvdgIECBAgQIAAAQIECBAgQIAAAQIENiLgl39thN2k6xJofvnXgw89nO695+65abr+5b59T19/BOu7p6+/K0Y7h67+uNa+Z5U5Vo1xdHQUQ9PW1tZcDnGtL4++/nXFaFudZY6ue5aNcdZaczyHzDPmare2x1lrPW18XO+L0dffxGh7xrWh82zyiD+b1s4hrvXV0tffFWPZOc4ao7RnzNvOdYhaV5ljXXmOwfOseyfua7d1rXvbtD1HzL249n39MaZ9z+L4xf743HdPX39XjHYOXf1xrX3PKnOcFoNnyNy8rm3vrv641r6nWZN1enbl0c6hq/+0PON604aIseocy3hGPe15mjVp6lzsj8+L97THd/Uvxlgcv9i/rhjL5tnkMbTnoscqXsvWusocq+bZeD5w/30RQiNAYEIC6/jlX+k4s108v50ZwXAC5QRiP+buyat7j2YnNJYYl3ceOY5XThuLRRjk1sJzfifV4FliXXPrKJFDiRgl9meJPHiG4qzV4FFDDiFSYo/WUktuHrnjec6esXjHs7xHrqnnveya8KzPcz4jnwgQuFUEcs+buur0VQYTOtlXKgECBAgQIECAAAECBAgQIECAAAECdQj4KoM61kEWhQSarzLYPzwoFFEYAgQIECBAgAABAgQIECBAgACBqQus46sM/MTs1HeV+gkQIECAAAECBAgQIECAAAECBAgQGFzAwezg5CYkQIAAAQIECBAgQIAAAQIECBAgQGDqAg5mp74D1E+AAAECBAgQIECAAAECBAgQIECAwOACDmYHJzdh7QJ7165npziWGDu7V1K8ctpYLMIgtxae8zupBs8S65pbR4kcSsQosT9L5MEzFGetBo8acgiREnu0llpy88gdz3P2jMU7nuU9ck0972XXhGd9nvMZ+USAwJQFHMxOefXVToAAAQIECBAgQIAAAQIECBAgQIDARgQczG6E3aQECBAgQIAAAQIECBAgQIAAAQIECExZwMHslFdf7QQIECBAgAABAgQIECBAgAABAgQIbETAwexG2E1KgAABAgQIECBAgAABAgQIECBAgMCUBc4dn7QcgEvbF9L+4UFOCGMJFBOI/RjNnixGKhABAgQIECBAgAABAgQIECBAYPIC6zgD9ROzk99WAAgQIECAAAECBAgQIECAAAECBAgQGFrAwezQ4uYjQIAAAQIECBAgQIAAAQIECBAgQGDyAg5mJ78FACwK7F27vnhp6c9jibGzeyXFK6eNxSIMcmvhOb+TavAssa65dZTIoUSMEvuzRB48Q3HWavCoIYcQKbFHa6klN4/c8Txnz1i841neI9fU8152TXjW5zmfkU8ECExZwMHslFdf7QQIECBAgAABAgQIECBAgAABAgQIbETAL//aCLtJ1yXQ/PKvBx96ON17z91z03T9y337nr7+CNZ3T19/V4x2Dl39ca19zypzrBrj6Ogohqatra25HOJaXx59/euK0bY6yxxd9ywb46y15ngOmWfM1W5tj7PWetr4uN4Xo6+/idH2jGtD59nkEX82rZ1DXOurpa+/K8ayc5w1RmnPmLed6xC1rjLHuvIcg+dZ907c127rWve2aXuOmHtx7fv6Y0z7nsXxi/3xue+evv6uGO0cuvrjWvueVeY4LQbPkLl5XdveXf1xrX1Psybr9OzKo51DV/9pecb1pg0RY9U5lvGMetrzNGvS1LnYH58X72mP7+pfjLE4frF/XTGWzbPJY2jPRY9VvJatdZU5Vs2z8Xzg/vsihEaAwIQE1vHLv9JxZrt4fjszguEEygnEfszdk1f3Hs1OaCwxLu88chyvnDYWizDIrYXn/E6qwbPEuubWUSKHEjFK7M8SefAMxVmrwaOGHEKkxB6tpZbcPHLH85w9Y/GOZ3mPXFPPe9k14Vmf53xGPhEgcKsI5J43ddXpqwwmdLKvVAIECBAgQIAAAQIECBAgQIAAAQIE6hDwVQZ1rIMsCgk0X2Wwf3hQKKIwBAgQIECAAAECBAgQIECAAAECUxdYx1cZ+InZqe8q9RMgQIAAAQIECBAgQIAAAQIECBAgMLiAg9nByU1IgAABAgQIECBAgAABAgQIECBAgMDUBb5y6gDqX5fAjfTE43vpF37tWtp5/0fSZ5+b5sXplX/7v0x/6du/M/2tV15Itz133RsCBAgQIECAAAECBAgQIECAAAEC0xHwE7PTWevhKr1xkH7jna9Nr3jN303vnjuUjRQ+kx57/0+mn3jjX0t/5U0fSI8/cWO4vM44096162e88/TbxhJjZ/dKildOG4tFGOTWwnN+J9XgWWJdc+sokUOJGCX2Z4k8eIbirNXgUUMOIVJij9ZSS24eueN5zp6xeMezvEeuqee97JrwrM9zPiOfCBCYsoCD2Smv/lpqfzLtX35n+sF/+on01PPGfyp99iM/lX7wHz6Wnnje+3QSIECAAAECBAgQIECAAAECBAgQGJ+Ag9nxrelGK7qxfyW9470fffZQ9vb0olf9QPqpX/rttH94cPL6/fSxX3pfeuurXvxsjieHsx/6R+lnH//yRnM2OQECBAgQIECAAAECBAgQIECAAIGhBRzMDi0+6vm+nD7xC7+QHn/6R2VPDmXf8E/Sr/7cO9JrX/7CZ6u+Ld358temH/65D6cPvuH8s9cO0q/+2idTfV9oMOqFUhwBAgQIECBAgAABAgQIECBAgMCGBc4dn7ScHC5tX3j6pyFzYhg7EoEbH0vv/U+/L/3MZ05OZm9/dfqpj74/vfaFp/x6r89/OL3lFW9Lj8Uh7ot/IP3C//aO9PJTbl1GJ/ZjtPgJXY0AAQIECBAgQIAAAQIECBAgQIBACYF1nIH6idkSKyPGMwJP/GH6vT969ptlv+nb03982qFs3P3CV6S7/8qdz4z7zMfSx/7Ns+OeueL/JUCAAAECBAgQIECAAAECBAgQIDBqAQezo17eYYt76l/9Zvrfnz1fvePPvyR9w/NOf2e6cNefe/aO30u/+fHPPe/dOgkQIECAAAECBAgQIECAAAECBAiMScDB7JhWc6O13Ehf+uIXn/2u2DvSS1/6Den2583n30/f+JLzz97zZPrcF/7d896tkwABAgQIECBAgAABAgQIECBAgMCYBBzMjmk1N1rLn6Y//sIT6ZkfmL0jfd3X/tmebG5LX/OCF6Rnvlb2yfR7v/d/PTu2Z9gA3XvXrmfPMpYYO7tXUrxy2lgswiC3Fp7zO6kGzxLrmltHiRxKxCixP0vkwTMUZ60GjxpyCJESe7SWWnLzyB3Pc/aMxTue5T1yTT3vZdeEZ32e8xn5RIDAlAX88q8pr37R2r+cHn/Pa9Lr3v/pk6gvSq+/fD395Cuf/Q7ZU+Z56rF3pG9944fSkyf9d7zhcvqd937HTT9l2/wyr1NCuEyAAAECBAgQIECAAAECBAYX8AunByc3IYGNC/jlXxtfAgmcLvAn6YnPf+n07o6e2y+8JL2043pzyaFsI+FPAgQIECBAgAABAgQIECBAgACB0QkcZ7aL57czIxg+DoEvHj/29lccx364eP4Vx+/4yBf7y/qDnz3+7qfv3z7+C29/7PhP+kf03vHM/Hl78ureo73z9N0wlhiXdx45jldOG4tFGOTWwnN+J9XgWWJdc+sokUOJGCX2Z4k8xuJZ4u+jEp4lYtSyJiX2aC215OaROz72Bc9QeKbxbCTKeeSa2p9l16TE30m5axoVjSVGCc/5FfaJAIFbRSCe/9LNd8yO7qh9UwX9e+nOF37NUpM/dfD76feWGuFmAgQIECBAgAABAgQIECBAgAABAuMQ8B2z41jHCqp4Kh1+4G+mV/33v3WSy53ple/71fSB7/kPnzevs3zH7PMG6Ohsvv7A9/104LhEgAABAoMJ+PtoMGoTESBAgECPgL+TeoCW7Oa5JJjbCYxIIJ7/0udNfmJ2RBtks6V8Rfrqr73z2V/e9WT63Bf+XU86N9KXvvjFdOPpu+5IL33pN9z0i796AugmQIAAAQIECBAgQIAAAQIECBAgcMsKOJi9ZZeutsRvS3devJS+/um0bqQvfuGPnz10PS3PP01//IUn0lNPd9+Rvu5r/+xpN7pOgAABAgQIECBAgAABAgQIECBAYHQCDmZHt6SbK+i2b3xpuuv2mP+p9Jl/+fH0b583lc+lj3+0+YbZP5deevHO5717yM69a9ezpxtLjJ3dKyleOW0sFmGQWwvP+Z1Ug2eJdc2to0QOJWKU2J8l8hiLZ1iUaDV41JBDWJbYo7XUkptH7nie808nz/Ieuaae9/JrMh9x+U+5axozjinG8oJG1CtwIz3x2DvTX97+a+m9j3+5I83Pp8d/8T3pLa+4K8X/jP3S9l3pL7/p3WnnsYOeH0brCOUSgQ4BB7MdKC6tKHDn+fTSr3/6ZDalT/5W+vjnn/migs5on/9ouv4vnnim68WvTK9+2Vd13uYiAQIECBAgQIAAAQIECBAgQGAdAjcOfjH9yDt/IX22M/iTaf8DP5i+720/nR777DP/e9/4QbTPfuRn00+88QfS+zoPcjsDuUjgVAEHs6fS6Fha4LZvSq++98Izw576X9P7fvQX02Hn2ezn0v/ynn+cHnv6/67dnl58719NL7tt6dkMIECAAAECBAgQIECAAAECBAisIPBkOvz1f5C+5zvfkX79uUPXhTA3/nX6xZ//WHrqRa9Kf+fyY+nThwdpf/+x9DP/xctOfkfOQfrVX/ukn5pdIPNxeQEHs8ubGXGqwFell73udenlz36dwWd/7V3pb37/e9KHH//8syNO/icCj384vfdNr01v/tAfPnvtQvrr3/lNybnsqag6CBAgQIAAAQIECBAgQIAAgVICN/bTh7//1elVb9lNn/qme9JrXvbVnZFvfOI30q9+JqUXv+Zvp//6lReeObe47UL6q//df5ve+OKUPrP3G+kTnT+M1hnORQKdAg5mO1lcXFXgtkv/efo7rzn/7PD4Ef+fTm9/zX/y7HexvCR922veln7mIyf/l+3pdnt60Rt+KH3/y32NwbMg/iBAgAABAgQIECBAgAABAgTWKfDEvzr5asWvTa9/74fTR6/+aPpLX9f1o2InP1j2B/vpj9KfSXe95D+Y/2Gy5n8t/Ef76eAJJ7PrXKopxD53fNJyCo0vP94/+XFujcBzAk98LH3wbf9NevdzB7DP9bTenBzKfudPpP/x/W9I213/N7B15zJvYz9GsyeXUXMvAQIECJQW8PdRaVHxCBAgQGBVAX8nrSrXPW6Mnjcef0965Wt+On3m9lenn/ro+9NrX1jg/5N+41Ppg69/Q3r3x/9Mev3l/5+9+4GW7KgPA10TRYnWBEdYg2EdhZnRIGy8B8VCwRAnBkv8CcJSbATW2sFyJJAgLMR2VgaBIF5MDJaEFStZWfwRzJvVLHEWBNh6g8ZHoBF2Dg6xVlIC2YNjeHljB2chfjKKSRyOx7Nvu0Zzp6t77pvb3VV9+76+X53zmO5bVb/61Vd1GU1Nz+1D4aZLJvnC7/ivbFfD3fcdDCvvvT957uu54ZLX/3j4vue8JPxE9cnV+uWZ4ep/Ch9/zQ+GN93/7eF1n/hEePPJD479SXjk5peHV743jF2PQ5yuboYUdNk2AvH+L33e9Oe3zewlun0Ezr4oXPuhT4UXHb47fPrBz4z9H+oTw7OuvC780Esvm8P/oW4fIpkSIECAAAECBAgQIECAAIHFC/xJ+Px9h0P8d61nPv+l4QUlDmXDo+GhX7wx/OLD3xhEfcJkUzy2Hj79j346vPGff37w9Vrj5Svh8HtvGvzcGj74wjeF2299dbjw7AKHx+PDeE9gAQIOZheA3o8hzwq7L/nxcG38uaEfMzZLAgQIECBAgAABAgQIECCwrQSOfTF8ajX+K+izw/e/7HnhnOzkB1+q9bF3hJ987yM1B6xbBf9mWNt34xaHsmmf+LjE94Q3vnt3+OQtLx5krBDY/gIOZrf/GpoBAQIECBAg0DGB0v/EqWPTkw4BAgQIbCMBvyeVXayl8/z9h8NvfSV+RvX88NxnPzkT69HwyJ1vDW9816eSxxA0hzy2diDccMvnThzkDh57+MLXhOvfeG244sJ4TBwfb/Br4QO3/9KJ76sZHM5+5BfDB37sb5547ED1KILHmgc69++Hu3/jhnChD9s2W2nRmoAv/2qN2kDbRWD14KHsVJclxsr+AyH+5JRlsYgGuXPhObqTuuBZYl1z51EihxIxSuzPEnnwjIrD0gWPLuQQRUrs0a7MJTeP3P48h/dYfMWzvEeuqfu97Jrw7J7naEaLfHcsPPrwg+F3YgrnXhQuetqZsycTv2vmNT8cXjnloWx8Xuvn7747PHL8+QXxC8J/OXzyQzecOJSN6ZwRzr7wivDmD308fPDK6ovG18Mn7/vi4Mh2nuUvhqc9fVc4M/zn8KX/sMWh75m7wtOf9hfnmYTYPRDwidkeLLIpEiBAgAABAgQIECBAgAABAgRGBb4WfuPeBwefVD0znHv5i8IFM32SdPAp2Y/cGn7ubb8SvlA9HPapzwuXfPv/Ew5/Pj5jtqGcfJTCoN2ZPxCuv+GSLR5R8ORw8Q0/GS75xPXh8NGj4Surnw6f/5mLBp9+/Y5wxYceCVc0DDN99eBA+Ly94SnhM+F3v/z/Dg6Bv2NwRFyVx8L67/7nEJ5ySdjjWbcVil9nFNixOSgz9j3ebR7fSJaTj779Fqi+IfO22+8Il1926QhG3d/cp22a6mOwpjZN9XUx0hzq6uO1tM0sY8waY2NjI3YNO3fuHMkhXmvKo6l+XjFSq0nGqGszbYxJ55rj2Waecay0pB6TznWr/vF6U4ym+ipG6hmvtZ1nlUf8tSppDvFa01ya6utiTDvGpDFKe8Zx01zbmOssY8wrz2XwnHTvxHZpmde6p6bpGHHs8bVvqo990jbj/cfr4/umNk31dTHSHOrq47W0zSxjbBWDZ5Q5dV1T77r6eC1tU63JPD3r8khzqKvfKs94vSptxJh1jGk843zScao1qeY5Xh/fj7dJ+9fVj8cY7z9eP68Y0+ZZ5dG257jHLF7TznWWMWbNs/K85uqrYojtXR79eLjuefGg8xnhdZ/4xIlHA0w3paOHbwjf8+qPhG8e7xYfQxC/nOuK8Ni7LwvXfuSrg6tPDT+y71C46ZItngh7ModB0wtuDPffc13YfTxW3f+kjy14TnjrAx8O1+7J+JTv8SGqmN9+qsGxh8ItL/ix8P6vPTP86B23hXe+eE84Y/AlZQ/80rvC22//zfDnX/8r4fANFyUHtknORx8Ib3nWq8NHI8xZV4YPfuHmcPGZg+fvHj4Q3nfb/x4+Wh1aP/WF4XVvekN47SsuTA6kY7uPhI98+M4Tj28YxDjzgvAj118T/ucfvdwXnyXMbb+cyxloPJjNKeft2p3TXV8CRQXifszdk/es3pud07LE2Ldy12b8ySnLYhENcufCc3QndcGzxLrmzqNEDiVilNifJfLgGRWHpQseXcghipTYo12ZS24euf15Du+x+IpneY9cU/d72TXh2T3P0YwW9+7PHr5p8/nxz9BPv27zYxt/NlMif3r/mze/O8Z47ms2b7774c2vH4/y9c3Db3re8T+bn7freZs33P/41boBTvYfxPjuNx3e/NO6Riev/bfNh296yYm437N57d1/cLJm9hd/sPmxV3/PIOZLNm9++L+Nhfnvm1/+wI9ufmec3/jP0390884v//ex9snbPz28ecN3nuj3nW/ePPzfv7z5sev+1qlxjsc9f/P73nTf43Z/9h82P/XWv1M/Zmz73Ddufuw/nGbcJAUvywvknjfVZeQZs20frxuPAAECBAgQIECAAAECBAgQIHCKQPyiq18NH7zzzvDBm68Nf3P394e//7G1mmepxk9U/tLg067PCHvPvyLc8tCjp0RqvjB4tut9h8NXBg3PfP5LwwvOGf5D/ea+SYsnPTdc97P7wv2f/WB488inPpM2W748Fv74618/Mb+zwvnn/5XBQxVOV6rnvsY23wx/+Ef/9XSNC9SdFfa++t3hvW+7MjwrSezMC64Mb33/u8M1e8+acIw/Cb/7obeHG++L2nUlfqHZu8JNh38nPPSL14c3/vPPn/gitJq2Xz0Ybvz5e8MsK14TzaUOCHiUQQcWQQo5AvE3rtVw930Hw8p770+++fHccMnrfzx833NeEn7iksE/N8gZQl8CBAgQIECAAAECBAhsK4F4cHd3+PSDnxn7c9ITw7OuvC5c9ty/FV459SHatgLYhsk+Fh5486Un/vl/kv6ZLw7v+dx7wxUnD04Ha/uxN4VXXX/w5J9/z3zhreGzH7oinJN0a3xZ/TP9rzwhXHLrJ8Odr/iOxi6TN0jncrpHGRwNR+58VXjhux4chD57ojzSRyecdeW+8G9uubjhMHfyrIu2TB9lUAUee2zBsfV7w8/+1FvCvzjxWIMzn/rU8Je/+tWwER9b8K53hLdc+fjjDY6tfyr8059/Z/jl+08c7J6yJ6oB/DpvgXk8ysAnZue9auLPT2DwbJdP33hFeN7L/2H4hZFD2TjkV8Lh994Ufv7Vfzs8/zV3hkcem+/3Nc5vkiITIECAAAECBAgQIEBgCoHHHgoffM2Lwwtf/Y9q/pz0jfCFj/yT8AvXD/4c9Xd+Lnx6/fEng04RXdO5CZwdLr7lX4W1I+vhdx/4QHjDC899fKSjnwn/9IP/5sSnSgcfTDr8zpFD2ZnT+f2Hw299JX5b1/nhuc9+8sxh8joeDV//o/9yIsRZ4ZwnfUteuC73fupl4T2/cvvIp4rP2POy8M5f+gfhwhOfxj16/FD2eeGtv/5/hZtOHMrGKZ2x58Xhf/3AbeF151YNvxB++99O8MVqXfaQ20kBB7MnKbzYXgLfDGv7bjz9R/yPT2jwTwLuf09447sPh8e21wRlS4AAAQIECBAgQIAAgekEHvtX4ZafuCb8QvXJutP0Pvr5/eF1P/bO8IAPsZxGaTFVxw/ibvmH4ZLj53BHw1dWPx0+Hz9r9NjhcNONvxW++213h4fWDof3/90LBp8WPTf8wMv+WvLFUZPkfCw8+vCD4Xdi03MvChc9Lfl3+pN0L9bmT8Njj/7xVNHO3PP0wVHyditPDBe+5g3hh/ac+uiDM/a+ILz0mdX1wWpe+zP1j0g4Y294zvdN9Zno7YbU23wdzPZ26bf3xI+tHQg33PK5E89did/8+PfDez7xf5+c1EOfuDW8rvobxkGrr37kF8MHHvmTk/Wne1H3jZ6na19XtywxVvYfCPEnpyyLRTTInQvP0Z3UBc8S65o7jxI5lIhRYn+WyINnVByWLnh0IYcoUmKPdmUuuXnk9uc5vMfiK57lPXJN3e+zrsmfhEfe/47w/urb3gcHdpe8/tZw9Q3vCG9/xztPfBJzX3j7618YnloN8dW7w9sn+BBL7prG4ZYlRon9WfGf9tdznhcuff7Zjzf52lpYf+wbg/V9b/jya94X3nfdReHsM/aEF73718LvHPmX4X2v2Dvl4/u+Fn7j3gcHf1IeHARe/qJwgWf/nXYp8iv/x/C9f/1pW6zRXwrf9uTqYPac8Dees9VaPiHsOf+v5qciQucEHMx2bkkk1CwweEj53XeHR+K/uhj8RvLUK385fPJDN4QrLhz+7dHZF14R3vyhj4cPXrnrRLj18Mn7vljz0PTm0bQgQIAAAQIECBAgQIBA5wUe/fVwxwd/9/E0z7wwvO5jvxruvOGKcO7/MPxj/xl7Lg7X3HB7+PCtl504nB18iOUTHw2HH40fx1S6JfCU8IKXPefx56cefTCsvv+WcPNDl4abX/1dWxzwTZH9o58Lh34z/pvS0x0EThFv5qZ/IZx9zrdO1fvo+pfDl6bq0YHGZ+4KT3/aX9wikW8JTzqnOpj9q+Hpe56wRTuXl1Vg+P/QyzpD81o+gWNfDJ9aXX98Xmf+QLj+hku2+GcbTw4X3/CTp/7zj+UTMSMCBAgQIECAAAECBHoucPTf/uvwW9WHV17++vDai4YfXBmlOSvsfsVbw/UvPPFpzMGh36HPfG20iXcdEDgjnPMDLw3ff/wpA4+F31z5cnjRL1wV9hb4dOux3/9S+N24V858Vvjev/bEBc71zPCkb/vLJ8b/Znj065P9K9cFJjzb0Gc8KTzpWwss3Gyj69VxAQezHV8g6dUIPPZ74UtfO/5fHCE88znh2Se/nbKmbfrPP77yUHjo90/0q2nqEgECBAgQIECAAAECBLanwNHwB2vr4fGv8npC+O7n/k9bfHilmt2Tw7OfVz2p85vhD//ov1YVfu2SQPrn2TOeFvY+rfpkZU6Sg3+Bet/hwddlD85ln//S8ILT/Xk6Z5iJ+v658MRvO/vxTwUPdm/zPjwW/vjrXz/xL2HPCuef/1dO9J1oMI0IdFLAwWwnl0VSpxMY/k1wCGd919PDXzld48F/jux5xrefaPGl8K8f/sPTtlZJgAABAgQIECBAgACB7SdwZth93UeOP0d27cgj4c5XfMf2m4KMawSSA/Rv/pvw4L8r8InSk/8C9ezw/S973uBhBossZ4Szz9sbnnI8hWPh63/0jYbHD/5/4Rt/9NiJ75o5Kzz52/7SIpM3NoEiAjs2ByUn0t7de47/n39ODH0JTC4w+PbIj70+/M3rPzX4P+OzwrPe9mvhV697xsnucT/GsnbkxKMOBv+3frr2Jzt6QYAAAQIECBAgQIAAgd4I/Kfw8df8YHjT/fE5o88Ir/vEJ8KbL/yW3sx+20z0sU+Ft7z0DeGjX43/8vPUP//ONI9HPx6ue9714fDRea77Y+GBN18arv3IVwcpPjX8yL5D4aZLTjw6Yzzpk/kMKi64Mdx/z3Vh93ibk++30b49+kB4y7NeHT4aP8Z+1pXhg1+4OVx8/LEUJydz4kVq9Zzw1gc+HK7dU9fwaDhy56vCC9/14KBfg+n4EN4XE5jHGahPzBZbHoHaEZj2b8jOCN/6pCedeDj6N8OXvvQHJ/52rZ1sjUKAAAECBAgQIECAAIGuCRxb+2T458e//GmQ2bmXhBdf4FC2a2sUwh+GB959Vwj/+LbwunPjQd03w+987t+FR7MSHXxw6TO/Hv5lPOftyrqfvSuc/5QTB5FffDA8fLovojv5pWUdyj9rPXQmEIKDWbtgmwkcHfzzhv9yIuezwjlP8h8Q22wBpUuAAAECBAgQIECAwCIFjq2FX7v5rvDI8a/feGK48O/9ULjA9xItckVqxj4WHjv8z8I/DT8R3vLi7wlP/84nHG9z9LP/Onz++LrVdJno0tfCb9z74ODDSmeGcy9/UTfW/Yxnhhdf/vi/fA1HPxNufevHwpFjdZMZHFTf/M8Gn/SNdR3Kvy5V1whMIeBgdgosTbsg8KfhsUf/eKpEztzz9HD+VD00JkCAAAECBAgQIECAwDIKPBoe+sU3hRvvi1/9NDjeevY/CDe/+rtO/AvDZZzv9pzTsbV94dqfPRZ+6sZLBt+a8pTwgpc95/EvuRp5zuw3w9qd14e3HZ7ie1SO/vvw25+Nj684J/yN5+ztyLp/S7jgla8MFx7/0OzR8NX73h5e9dqbw8cfqT4bPDikfuTj4ZbXXDF4NMLvnVjQPeEHX/LMjuS/PfeYrLsj4GC2O2shk44IrB48lJ3JssRY2X8gxJ+csiwW0SB3LjxHd1IXPEusa+48SuRQIkaJ/VkiD55RcVi64NGFHKJIiT3albnk5pHbn+fwHouveJb3yDV1v5ddk6HnN8ORj70j/OR7H3n88W5PvSy8+9arwt4JPi2bu6al7rUu5DH0HF2nmd8NPsH88dd+f9h7/hXhloceDcfWPxLe8Pd+M7z0//jZcPHZcXHOCOc8+znhu44PsB4+ed8XB9+kEtfyfws3/dErw5suefLEQx/7d78d/lV85umZzwrf+9eeOHG/eTc8Y+8Phze8fNeJYQaHs/e/L7zp5X89xOd57t399HDRy68P77//8b9MiJ+WfeqVPxNe65nI814W8VsScDDbErRhSgn8hXD2Od86VbCj618OX5qqh8YECBAgQIAAAQIECBBYJoH/Fh66+e+Gl15/MMSvYwpnXhhe98vvCFfsOWuZJrk95/LYvw2HHhgcOh59JLz/FX89POPiO8LZ7/wn4dq9ydo87dnh+44/Z/Zo+Mp7Xxmesft7w09/+YfDe274G4NP1E5a/iR8/r7DIR5vnvn8l4YXnDPBifykobPbPTlcfOOt4a0vPLch0uBQ9iU/Hz78Cy+eYt4NIVUTWLDAjs1ByclhHt9IlpOPvssukH4T4dnhkls/Ge58xXecnHTcj7Hcdvsd4fLLLj3++ujhG8L3vPojg79THPwG9LzXh5t+/Fkn/8lD1SY2rPvb17R+kjazxGhjjJh7Os6keW5sbMSuYefOnSP947WmGE3184qRznOSMeraTBtj0rnmeLaZZxwrLanHpHPdqn+83hSjqb6KkXrGa23nWeURf61KmkO81jSXpvq6GNOOMWmM0p5x3DTXNuY6yxjzynMZPCfdO7FdWua17qlpOkYce3ztm+pjn7TNeP/x+vi+qU1TfV2MNIe6+ngtbTPLGFvF4BllTl3X1LuuPl5L21RrMk/PujzSHOrqt8ozXq9KGzFmHWMazzifdJxqTap5jtfH9+Nt0v519eMxxvuP188rxrR5VnlsbPxe+I+f+nD4Pz/7lcEnLQclHsr+izvDmy865xSLWJ2Os13m2mae1f685uqrIleBMni8xM3XhVcNPskcLvix8I9/7vrwIxeeMxZ38AnZT90cfvp/2R++EC4IP3rHbeGdL95z8s+1Y43r3x57KNzygh8L7//KE075c3R9h5yrj4UH3nzp4NED8a8Bnhp+ZN+hcNMlkxwhD+Z5+O7w6Qc/E1bee//jf4lwPI0nhmddeV34oZdeFn7ikinnnTONnL5HHwhvedarw0fjQcRZV4YPfuHmcPGJ7zgbDZtaPSe89YEPh2v31DVMz0KmMR0dzbs8gbmcgcaD2Zxy3q7dOd31JTClwJ9tbtx93eZ3Dvbdebu+a/OHPvDvR/rH/Ti6J0/ffqTziTf3rN5bd3mqa8sSY9/KXZvxJ6csi0U0yJ0Lz9Gd1AXPEuuaO48SOZSIUWJ/lsiDZ1Qcli54dCGHKFJij3ZlLrl55PbnObzH4iue5T1yTd3vBdfkz768+VMv+Z7jf0Y6/mel5163eefDG6MDTPAud03jEMsSo8T+nIBcEwIEOigwet5UJkGfmM07LNd7AQLHHrk5XPLy9w3+Ccbgmxhf/yvh8A0XnfybwuoTs2tH1k9klv6t0qmfsF1A+oYkQIAAAQIECBAgQIDA3AWOrd8bfvan3hL+xee/8fhYg2fKvudX3uPxBXOXNwABAssqMI9PzHrG7LLuliWe1xlPOz8848Q3Nn7lsw+H/3jauf5hePhz1RNmvz2cf94k/3zitAFVEiBAgAABAgQIECBAoMMC8Z+9/1x4xUvecOJQdvBczhfeGO7+9dscynZ41aRGgEA/BRzM9nPdt/esz94Vzn/KiWeufPHB8PCjx5+UVD+nRz8XDv3mY4/XnXtJePEF31LfzlUCBAgQIECAAAECBAhse4HBoezH3hRedd3gWaRH42QGz+b8u7eFD3/gunDh2V36sqdtD20CBAgQKCLgYLYIoyCtCpzxzPDiyx//kq9w9DPh1rd+LBypPZv9w/DAzf8sHD7+HySDxx5c/qJwgf8WaXWpDEaAAAECBAgQIECAQFsCx8JjD/1y+Om3HDzxpUnnhkvethL2v/tlYbc/B7W1CMYhQIDAVAIOZqfi0rgbAt8SLnjlK8OFJx5n8NX73h5e9dqbw8cfefRkeo898vFwy2uuGHwL5O+duLYn/OBLnnnyWbQnG9a8qPtGz5pmp720LDFW9h8I8SenLItFNMidC8/RndQFzxLrmjuPEjmUiFFif5bIg2dUHJYueHQhhyhSYo92ZS65eeT25zm8x+IrnuU9ck3d7zOuyWOHw01veP/JT8pe+LY7w/uuuyh8wn/Tj4B2YX+OJOQNAQK9FvjzvZ69yW9bgTP2/nB4w8s/fOLg9Wj46v3vC28a/FTlopdfX70c/Dp4ptKVPxNee6HHGCQoXhIgQIAAAQIECBAgsDQCx8Kj9380/OpXj/9zwcGsvhEeedel4RnvGk7w59/xs8M3468uuDHcf891Yff4de8JECBAYK4CPjE7V17B5yfw5HDxjbeGt77w3IYhBoeyL/n58OFfeHHwtV8NVKoJECBAgAABAgQIENimAl8Lv3Hvg6E6lt2mk5A2AQIEeifgE7O9W/IlmvDZF4VrP/Sp8KLDd4dPP/iZsPLe+088SynOcfCQ+yuvCz/00svCT1yyZ6JHGCyRjKkQIECAAAECBAgQINAngaP/Pvz2Z0986XGf5m2uBAgQ2OYCDma3+QJK/6yw+5IfD9fGnxtC2Lv78S8FWzvyeTQECBAgQIAAAQIECBDoh8CZF4ebfmc93FQz2/jM3liuufqqmlqXCBAgQGCRAjs2ByUngXgQtnZkPSeEvgSKCQwPZu3JYqgCESBAgAABAgQIECBAgAABAgR6LjCPM1DPmO35pjJ9AgQIECBAgAABAgQIECBAgAABAgTaF3Aw2765EQkQIECAAAECBAgQIECAAAECBAgQ6LmAg9mebwDTJ0CAAAECBAgQIECAAAECBAgQIECgfQEHs+2bG7HjAqsHD2VnuCwx4hcFVF8WMCvKsljE+efOhefoLuqCZ4l1zZ1HiRxKxCixP0vkwTMqDksXPLqQQxQpsUe7MpfcPHL78xzeY/EVz/Ieuabu97JrwrN7nqMZeUeAQJ8FfPlXn1d/CedeffnXbbffES6/7NKRGdaqlal/AABAAElEQVT9B2Lapqk+Bmtq01RfFyPNoa4+XkvbzDLGrDE2NjZi17Bz586RHOK1pjya6ucVI7WaZIy6NtPGmHSuOZ5t5hnHSkvqMelct+ofrzfFaKqvYqSe8VrbeVZ5xF+rkuYQrzXNpam+Lsa0Y0wao7RnHDfNtY25zjLGvPJcBs9J905sl5Z5rXtqmo4Rxx5f+6b62CdtM95/vD6+b2rTVF8XI82hrj5eS9vMMsZWMXhGmVPXNfWuq4/X0jbVmszTsy6PNIe6+q3yjNer0kaMWceYxjPOJx2nWpNqnuP18f14m7R/Xf14jPH+4/XzijFtnlUebXuOe8ziNe1cZxlj1jwrz2uuviqGUAgQ6JHAPL78K2xmlvN27c6MoDuBcgJxP+buyXtW781OaFli7Fu5azP+5JRlsYgGuXPhObqTuuBZYl1z51EihxIxSuzPEnnwjIrD0gWPLuQQRUrs0a7MJTeP3P48h/dYfMWzvEeuqfu97Jrw7J7naEbeESCwXQRyz5vq5ulRBj062TdVAgQIECBAgAABAgQIECBAgAABAgS6IeBRBt1YB1kUEqgeZbB2ZL1QRGEIECBAgAABAgQIECBAgAABAgT6LjCPRxn4xGzfd5X5EyBAgAABAgQIECBAgAABAgQIECDQuoCD2dbJDUiAAAECBAgQIECAAAECBAgQIECAQN8FHMz2fQeYPwECBAgQIECAAAECBAgQIECAAAECrQs4mG2d3IBdF1g9eCg7xWWJsbL/QIg/OWVZLKJB7lx4ju6kLniWWNfceZTIoUSMEvuzRB48o+KwdMGjCzlEkRJ7tCtzyc0jtz/P4T0WX/Es75Fr6n4vuyY8u+c5mpF3BAj0WcDBbJ9X39wJECBAgAABAgQIECBAgAABAgQIEFiIgIPZhbAblAABAgQIECBAgAABAgQIECBAgACBPgs4mO3z6ps7AQIECBAgQIAAAQIECBAgQIAAAQILEXAwuxB2gxIgQIAAAQIECBAgQIAAAQIECBAg0GeBHZuDkgOwd/eesHZkPSeEvgSKCcT9GIs9WYxUIAIECBAgQIAAAQIECBAgQIBA7wXmcQbqE7O931YACBAgQIAAAQIECBAgQIAAAQIECBBoW8DBbNvixiNAgAABAgQIECBAgAABAgQIECBAoPcCDmZ7vwUAjAusHjw0fmnq98sSY2X/gRB/csqyWESD3LnwHN1JXfAssa658yiRQ4kYJfZniTx4RsVh6YJHF3KIIiX2aFfmkptHbn+ew3ssvuJZ3iPX1P1edk14ds9zNCPvCBDos4CD2T6vvrkTIECAAAECBAgQIECAAAECBAgQILAQAV/+tRB2g85LoPryr9tuvyNcftmlI8PU/c192qapPgZratNUXxcjzaGuPl5L28wyxqwxNjY2Ytewc+fOkRzitaY8murnFSO1mmSMujbTxph0rjmebeYZx0pL6jHpXLfqH683xWiqr2KknvFa23lWecRfq5LmEK81zaWpvi7GtGNMGqO0Zxw3zbWNuc4yxrzyXAbPSfdObJeWea17apqOEcceX/um+tgnbTPef7w+vm9q01RfFyPNoa4+XkvbzDLGVjF4RplT1zX1rquP19I21ZrM07MujzSHuvqt8ozXq9JGjFnHmMYzzicdp1qTap7j9fH9eJu0f139eIzx/uP184oxbZ5VHm17jnvM4jXtXGcZY9Y8K89rrr4qhlAIEOiRwDy+/CtsZpbzdu3OjKA7gXICcT/m7sl7Vu/NTmhZYuxbuWsz/uSUZbGIBrlz4Tm6k7rgWWJdc+dRIocSMUrszxJ58IyKw9IFjy7kEEVK7NGuzCU3j9z+PIf3WHzFs7xHrqn7veya8Oye52hG3hEgsF0Ecs+b6ubpUQY9Otk3VQIECBAgQIAAAQIECBAgQIAAAQIEuiHgUQbdWAdZFBKoHmWwdmS9UERhCBAgQIAAAQIECBAgQIAAAQIE+i4wj0cZ+MRs33eV+RMgQIAAAQIECBAgQIAAAQIECBAg0LqAg9nWyQ1IgAABAgQIECBAgAABAgQIECBAgEDfBRzM9n0HmD8BAgQIECBAgAABAgQIECBAgAABAq0LOJhtndyAXRdYPXgoO8VlibGy/0CIPzllWSyiQe5ceI7upC54lljX3HmUyKFEjBL7s0QePKPisHTBows5RJESe7Qrc8nNI7c/z+E9Fl/xLO+Ra+p+L7smPLvnOZqRdwQI9FnAwWyfV9/cCRAgQIAAAQIECBAgQIAAAQIECBBYiICD2YWwG5QAAQIECBAgQIAAAQIECBAgQIAAgT4LOJjt8+qbOwECBAgQIECAAAECBAgQIECAAAECCxHYsTkoOSPv3b0nrB1ZzwmhL4FiAnE/xmJPFiMViAABAgQIECBAgAABAgQIECDQe4F5nIH6xGzvtxUAAgQIECBAgAABAgQIECBAgAABAgTaFnAw27a48QgQIECAAAECBAgQIECAAAECBAgQ6L2Ag9nebwEABAgQIECAAAECBAgQIECAAAECBAi0LeBgtm1x43VeYPXgoewclyXGyv4DIf7klGWxiAa5c+E5upO64FliXXPnUSKHEjFK7M8SefCMisPSBY8u5BBFSuzRrswlN4/c/jyH91h8xbO8R66p+73smvDsnudoRt4RINBnAV/+1efV3wZzr77Ma9pU3/6Od4Zrrr5qpFv8D5LxkrZpqo99m9o01dfFSHOoq4/X0jazjFEiRprDMuVZN5c25jrtGIvK096JAsPStG5N9TFS2maW+zntH+O1EWOWMRYxV3me/ve97bJ3tkue9ngUGJZ03bbLvRizH881nUddfbyWthnvP15fFyPtX1c/jxiz5Dmexywxpp3rLGPIMwoMS5N5U32MlLaxJlv/3po6DVfAKwIEllnAl38t8+qa2ykCsx7KnhLIBQIECBAgQIAAAQIECBAgQIAAAQJdE9jMLOft2p0ZQXcC5QTifszdk/es3pud0LLE2Ldy12b8ySnLYhENcufCc3QndcGzxLrmzqNEDiVilNifJfLgGRWHpQseXcghipTYo12ZS24euf15Du+x+IpneY9cU/d72TXh2T3P0Yy8I0BguwjknjfVzdMzZrt2Ui4fAgQIECBAgAABAgQIECBAgAABAgSWXsAzZpd+ifs1werxB2tH1vs1cbMlQIAAAQIECBAgQIAAAQIECBCYm4BnzM6NVmACBAgQIECAAAECBAgQIECAAAECBAi0J+BRBu1ZG4kAAQIECBAgQIAAAQIECBAgQIAAAQLHBRzM2ggECBAgQIAAAQIECBAgQIAAAQIECBBoWcDBbMvghuu+wOrBQ9lJLkuMlf0HQvzJKctiEQ1y58JzdCd1wbPEuubOo0QOJWKU2J8l8uAZFYelCx5dyCGKlNijXZlLbh65/XkO77H4imd5j1xT93vZNeHZPc/RjLwjQKDPAg5m+7z65k6AAAECBAgQIECAAAECBAgQIECAwEIEHMwuhN2gBAgQIECAAAECBAgQIECAAAECBAj0WcDBbJ9X39wJECBAgAABAgQIECBAgAABAgQIEFiIwI7NQckZee/uPWHtyHpOCH0JFBOI+zEWe7IYqUAECBAgQIAAAQIECBAgQIAAgd4LzOMM1Cdme7+tABAgQIAAAQIECBAgQIAAAQIECBAg0LaAg9m2xY1HgAABAgQIECBAgAABAgQIECBAgEDvBRzM9n4LACBAgAABAgQIECBAgAABAgQIECBAoG0BB7Ntixuv8wKrBw9l57gsMVb2HwjxJ6csi0U0yJ0Lz9Gd1AXPEuuaO48SOZSIUWJ/lsiDZ1Qcli54dCGHKFJij3ZlLrl55PbnObzH4iue5T1yTd3vZdeEZ/c8RzPyjgCBPgs4mO3z6ps7AQIECBAgQIAAAQIECBAgQIAAAQILEdixOSg5I8/jG8ly8tG33wJxP8Zy2+13hMsvu3QEo+5v7tM2TfUxWFObpvq6GGkOdfXxWtpmljFmjbGxsRG7hp07d47kEK815dFUP68YqdUkY9S1mTbGpHPN8WwzzzhWWlKPSee6Vf94vSlGU30VI/WM19rOs8oj/lqVNId4rWkuTfV1MaYdY9IYpT3juGmubcx1ljHmlecyeE66d2K7tMxr3VPTdIw49vjaN9XHPmmb8f7j9fF9U5um+roYaQ519fFa2maWMbaKwTPKnLquqXddfbyWtqnWZJ6edXmkOdTVb5VnvF6VNmLMOsY0nnE+6TjVmlTzHK+P78fbpP3r6sdjjPcfr59XjGnzrPJo23PcYxavaec6yxiz5ll5XnP1VTGEQoBAjwTmcgYaD2Zzynm7dud015dAUYG4H3P35D2r92bntCwx9q3ctRl/csqyWESD3LnwHN1JXfAssa658yiRQ4kYJfZniTx4RsVh6YJHF3KIIiX2aFfmkptHbn+ew3ssvuJZ3iPX1P1edk14ds9zNCPvCBDYLgK550118/Qogx6d7JsqAQIECBAgQIAAAQIECBAgQIAAAQLdEPAog26sgywKCVSPMlg7sl4oojAECBAgQIAAAQIECBAgQIAAAQJ9F5jHowx8Yrbvu8r8CRAgQIAAAQIECBAgQIAAAQIECBBoXcDBbOvkBiRAgAABAgQIECBAgAABAgQIECBAoO8CDmb7vgPM/xSBum/0PKVRw4VlibGy/0CIPzllWSyiQe5ceI7upC54lljX3HmUyKFEjBL7s0QePKPisHTBows5RJESe7Qrc8nNI7c/z+E9Fl/xLO+Ra+p+L7smPLvnOZqRdwQI9FnAwWyfV9/cCRAgQIAAAQIECBAgQIAAAQIECBBYiICD2YWwG5QAAQIECBAgQIAAAQIECBAgQIAAgT4LOJjt8+qbOwECBAgQIECAAAECBAgQIECAAAECCxFwMLsQdoMSIECAAAECBAgQIECAAAECBAgQINBngR2bg5IDsHf3nrB2ZD0nhL4EignE/RiLPVmMVCACBAgQIECAAAECBAgQIECAQO8F5nEG6hOzvd9WAAgQIECAAAECBAgQIECAAAECBAgQaFvAwWzb4sYjQIAAAQIECBAgQIAAAQIECBAgQKD3Ag5me78FABAgQIAAAQIECBAgQIAAAQIECBAg0LaAg9m2xY3XeYHVg4eyc1yWGCv7D4T4k1OWxSIa5M6F5+hO6oJniXXNnUeJHErEKLE/S+TBMyoOSxc8upBDFCmxR7syl9w8cvvzHN5j8RXP8h65pu73smvCs3ueoxl5R4BAnwUczPZ59c2dAAECBAgQIECAAAECBAgQIECAAIGFCOzYHJSckefxjWQ5+ejbb4G4H2O57fY7wuWXXTqCUfc392mbpvoYrKlNU31djDSHuvp4LW0zyxizxtjY2Ihdw86dO0dyiNea8miqn1eM1GqSMeraTBtj0rnmeLaZZxwrLanHpHPdqn+83hSjqb6KkXrGa23nWeURf61KmkO81jSXpvq6GNOOMWmM0p5x3DTXNuY6yxjzynMZPCfdO7FdWua17qlpOkYce3ztm+pjn7TNeP/x+vi+qU1TfV2MNIe6+ngtbTPLGFvF4BllTl3X1LuuPl5L21RrMk/PujzSHOrqt8ozXq9KGzFmHWMazzifdJxqTap5jtfH9+Nt0v519eMxxvuP188rxrR5Vnm07TnuMYvXtHOdZYxZ86w8r7n6qhhCIUCgRwJzOQONB7M55bxdu3O660ugqEDcj7l78p7Ve7NzWpYY+1bu2ow/OWVZLKJB7lx4ju6kLniWWNfceZTIoUSMEvuzRB48o+KwdMGjCzlEkRJ7tCtzyc0jtz/P4T0WX/Es75Fr6n4vuyY8u+c5mpF3BAhsF4Hc86a6eXqUQY9O9k2VAAECBAgQIECAAAECBAgQIECAAIFuCHiUQTfWQRaFBKpHGawdWS8UURgCBAgQIECAAAECBAgQIECAAIG+C8zjUQY+Mdv3XWX+BAgQIECAAAECBAgQIECAAAECBAi0LuBgtnVyAxIgQIAAAQIECBAgQIAAAQIECBAg0HcBB7N93wHmf4pA3Td6ntKo4cKyxFjZfyDEn5yyLBbRIHcuPEd3Uhc8S6xr7jxK5FAiRon9WSIPnlFxWLrg0YUcokiJPdqVueTmkduf5/Aei694lvfINXW/l10Tnt3zHM3IOwIE+izgYLbPq2/uBAgQIECAAAECBAgQIECAAAECBAgsRMDB7ELYDUqAAAECBAgQIECAAAECBAgQIECAQJ8FHMz2efXNnQABAgQIECBAgAABAgQIECBAgACBhQg4mF0Iu0EJECBAgAABAgQIECBAgAABAgQIEOizwI7NQckB2Lt7T1g7sp4TQl8CxQTifozFnixGKhABAgQIECBAgAABAgQIECBAoPcC8zgD9YnZ3m8rAAQIECBAgAABAgQIECBAgAABAgQItC3gYLZtceMRIECAAAECBAgQIECAAAECBAgQINB7AQezvd8CAAgQIECAAAECBAgQIECAAAECBAgQaFvAwWzb4sbrvMDqwUPZOS5LjJX9B0L8ySnLYhENcufCc3QndcGzxLrmzqNEDiVilNifJfLgGRWHpQseXcghipTYo12ZS24euf15Du+x+IpneY9cU/d72TXh2T3P0Yy8I0CgzwK+/KvPq7+Ec6++/Ou22+8Il1926cgM6/4DMW3TVB+DNbVpqq+LkeZQVx+vpW1mGWPWGBsbG7Fr2Llz50gO8VpTHk3184qRWk0yRl2baWNMOtcczzbzjGOlJfWYdK5b9Y/Xm2I01VcxUs94re08qzzir1VJc4jXmubSVF8XY9oxJo1R2jOOm+baxlxnGWNeeS6D56R7J7ZLy7zWPTVNx4hjj699U33sk7YZ7z9eH983tWmqr4uR5lBXH6+lbWYZY6sYPKPMqeuaetfVx2tpm2pN5ulZl0eaQ139VnnG61VpI8asY0zjGeeTjlOtSTXP8fr4frxN2r+ufjzGeP/x+nnFmDbPKo+2Pcc9ZvGadq6zjDFrnpXnNVdfFUMoBAj0SGAeX/4VNjPLebt2Z0bQnUA5gbgfc/fkPav3Zie0LDH2rdy1GX9yyrJYRIPcufAc3Uld8CyxrrnzKJFDiRgl9meJPHhGxWHpgkcXcogiJfZoV+aSm0duf57Deyy+4lneI9fU/V52TXh2z3M0I+8IENguArnnTXXz9CiDHp3smyoBAgQIECBAgAABAgQIECBAgAABAt0Q8CiDbqyDLAoJVI8yWDuyXiiiMAQIECBAgAABAgQIECBAgAABAn0XmMejDHxitu+7yvwJECBAgAABAgQIECBAgAABAgQIEGhdwMFs6+QGJECAAAECBAgQIECAAAECBAgQIECg7wIOZvu+A8yfAAECBAgQIECAAAECBAgQIECAAIHWBRzMtk5uwK4LrB48lJ3issRY2X8gxJ+csiwW0SB3LjxHd1IXPEusa+48SuRQIkaJ/VkiD55RcVi64NGFHKJIiT3albnk5pHbn+fwHouveJb3yDV1v5ddE57d8xzNyDsCBPos4GC2z6tv7gQIECBAgAABAgQIECBAgAABAgQILETAwexC2A1KgAABAgQIECBAgAABAgQIECBAgECfBRzM9nn1zZ0AAQIECBAgQIAAAQIECBAgQIAAgYUIOJhdCLtBCRAgQIAAAQIECBAgQIAAAQIECBDos8COzUHJAdi7e09YO7KeE0JfAsUE4n6MxZ4sRioQAQIECBAgQIAAAQIECBAgQKD3AvM4A/WJ2d5vKwAECBAgQIAAAQIECBAgQIAAAQIECLQt4GC2bXHjESBAgAABAgQIECBAgAABAgQIECDQewEHs73fAgDGBVYPHhq/NPX7ZYmxsv9AiD85ZVksokHuXHiO7qQueJZY19x5lMihRIwS+7NEHjyj4rB0waMLOUSREnu0K3PJzSO3P8/hPRZf8SzvkWvqfi+7Jjy75zmakXcECPRZwMFsn1ff3AkQIECAAAECBAgQIECAAAECBAgQWIiAL/9aCLtB5yVQffnXbbffES6/7NKRYer+5j5t01QfgzW1aaqvi5HmUFcfr6VtZhlj1hgbGxuxa9i5c+dIDvFaUx5N9fOKkVpNMkZdm2ljTDrXHM8284xjpSX1mHSuW/WP15tiNNVXMVLPeK3tPKs84q9VSXOI15rm0lRfF2PaMSaNUdozjpvm2sZcZxljXnkug+ekeye2S8u81j01TceIY4+vfVN97JO2Ge8/Xh/fN7Vpqq+LkeZQVx+vpW1mGWOrGDyjzKnrmnrX1cdraZtqTebpWZdHmkNd/VZ5xutVaSPGrGNM4xnnk45TrUk1z/H6+H68Tdq/rn48xnj/8fp5xZg2zyqPtj3HPWbxmnaus4wxa56V5zVXXxVDKAQI9EhgHl/+FTYzy3m7dmdG0J1AOYG4H3P35D2r92YntCwx9q3ctRl/csqyWESD3LnwHN1JXfAssa658yiRQ4kYJfZniTx4RsVh6YJHF3KIIiX2aFfmkptHbn+ew3ssvuJZ3iPX1P1edk14ds9zNCPvCBDYLgK550118/Qogx6d7JsqAQIECBAgQIAAAQIECBAgQIAAAQLdEPAog26sgywKCVSPMlg7sl4oojAECBAgQIAAAQIECBAgQIAAAQJ9F5jHowx8Yrbvu8r8CRAgQIAAAQIECBAgQIAAAQIECBBoXcDBbOvkBiRAgAABAgQIECBAgAABAgQIECBAoO8CDmb7vgPMnwABAgQIECBAgAABAgQIECBAgACB1gUczLZObsCuC6wePJSd4rLEWNl/IMSfnLIsFtEgdy48R3dSFzxLrGvuPErkUCJGif1ZIg+eUXFYuuDRhRyiSIk92pW55OaR25/n8B6Lr3iW98g1db+XXROe3fMczcg7AgT6LOBgts+rb+4ECBAgQIAAAQIECBAgQIAAAQIECCxEwMHsQtgNSoAAAQIECBAgQIAAAQIECBAgQIBAnwUczPZ59c2dAAECBAgQIECAAAECBAgQIECAAIGFCDiYXQi7QQkQIECAAAECBAgQIECAAAECBAgQ6LPAjs1ByQHYu3tPWDuynhNCXwLFBOJ+jMWeLEYqEAECBAgQIECAAAECBAgQIECg9wLzOAP1idnebysABAgQIECAAAECBAgQIECAAAECBAi0LeBgtm1x4xEgQIAAAQIECBAgQIAAAQIECBAg0HsBB7O93wIAxgVWDx4avzT1+2WJsbL/QIg/OWVZLKJB7lx4ju6kLniWWNfceZTIoUSMEvuzRB48o+KwdMGjCzlEkRJ7tCtzyc0jtz/P4T0WX/Es75Fr6n4vuyY8u+c5mpF3BAj0WcDBbJ9X39wJECBAgAABAgQIECBAgAABAgQIEFiIgC//Wgi7QScRqL7Ia5K2423e/o53hmuuvmrkcvyb4vGStmmqj32b2jTV18VIc6irj9fSNrOMUSJGmsMy5Vk3lzbmOu0Yi8rT3okCw9K0bk31MVLaZpb7Oe0f47URY5YxFjFXeZ7+973tsne2S572eBQYlnTdtsu9GLMfzzWdR119vJa2Ge8/Xl8XI+1fVz+PGLPkOZ7HLDGmnessY8gzCgxLk3lTfYyUtrEmW//emjoNV8ArAgSWWcCXfy3z6prbKQJrR9ZPueYCAQIECBAgQIAAAQIECBAgQIAAgaUQ2Mws5+3anRlBdwLlBOJ+zN2T96zem53QssTYt3LXZvzJKctiEQ1y58JzdCd1wbPEuubOo0QOJWKU2J8l8uAZFYelCx5dyCGKlNijXZlLbh65/XkO77H4imd5j1xT93vZNeHZPc/RjLwjQGC7COSeN9XN06MMluJ43SQqgerxBz5tW4n4lQABAgQIECBAgAABAgQIECBAIFfAowxyBfUnQIAAAQIECBAgQIAAAQIECBAgQIBABwT+XAdykAIBAgQIECBAgAABAgQIECBAgAABAgR6JeBgtlfLbbIECBAgQIAAAQIECBAgQIAAAQIECHRBwMFsF1ZBDp0SWD14KDufZYmxsv9AiD85ZVksokHuXHiO7qQueJZY19x5lMihRIwS+7NEHjyj4rB0waMLOUSREnu0K3PJzSO3P8/hPRZf8SzvkWvqfi+7Jjy75zmakXcECPRZwMFsn1ff3AkQIECAAAECBAgQIECAAAECBAgQWIiAg9mFsBuUAAECBAgQIECAAAECBAgQIECAAIE+CziY7fPqmzsBAgQIECBAgAABAgQIECBAgAABAgsR2LE5KDkj7929J6wdWc8JoS+BYgJxP8ZiTxYjFYgAAQIECBAgQIAAAQIECBAg0HuBeZyB+sRs77cVAAIECBAgQIAAAQIECBAgQIAAAQIE2hZwMNu2uPEIECBAgAABAgQIECBAgAABAgQIEOi9gIPZ3m8BAAQIECBAgAABAgQIECBAgAABAgQItC3gYLZtceN1XmD14KHsHJclxsr+AyH+5JRlsYgGuXPhObqTuuBZYl1z51EihxIxSuzPEnnwjIrD0gWPLuQQRUrs0a7MJTeP3P48h/dYfMWzvEeuqfu97Jrw7J7naEbeESDQZwEHs31efXMnQIAAAQIECBAgQIAAAQIECBAgQGAhAjs2ByVn5Hl8I1lOPvr2WyDux1huu/2OcPlll45g1P3NfdqmqT4Ga2rTVF8XI82hrj5eS9vMMsasMTY2NmLXsHPnzpEc4rWmPJrq5xUjtZpkjLo208aYdK45nm3mGcdKS+ox6Vy36h+vN8Voqq9ipJ7xWtt5VnnEX6uS5hCvNc2lqb4uxrRjTBqjtGccN821jbnOMsa88lwGz0n3TmyXlnmte2qajhHHHl/7pvrYJ20z3n+8Pr5vatNUXxcjzaGuPl5L28wyxlYxeEaZU9c19a6rj9fSNtWazNOzLo80h7r6rfKM16vSRoxZx5jGM84nHadak2qe4/Xx/XibtH9d/XiM8f7j9fOKMW2eVR5te457zOI17VxnGWPWPCvPa66+KoZQCBDokcBczkDjwWxOOW/X7pzu+hIoKhD3Y+6evGf13uycliXGvpW7NuNPTlkWi2iQOxeeozupC54l1jV3HiVyKBGjxP4skQfPqDgsXfDoQg5RpMQe7cpccvPI7c9zeI/FVzzLe+Saut/LrgnP7nmOZuQdAQLbRSD3vKlunh5l0KOTfVMlQIAAAQIECBAgQIAAAQIECBAgQKAbAh5l0I11kEUhgepRBmtH1gtFFIYAAQIECBAgQIAAAQIECBAgQKDvAvN4lIFPzPZ9V5k/AQIECBAgQIAAAQIECBAgQIAAAQKtCziYbZ3cgAQIECBAgAABAgQIECBAgAABAgQI9F3AwWzfd4D5nyJQ942epzRquLAsMVb2HwjxJ6csi0U0yJ0Lz9Gd1AXPEuuaO48SOZSIUWJ/lsiDZ1Qcli54dCGHKFJij3ZlLrl55PbnObzH4iue5T1yTd3vZdeEZ/c8RzPyjgCBPgs4mO3z6ps7AQIECBAgQIAAAQIECBAgQIAAAQILEXAwuxB2gxIgQIAAAQIECBAgQIAAAQIECBAg0GcBB7N9Xn1zJ0CAAAECBAgQIECAAAECBAgQIEBgIQIOZhfCblACBAgQIECAAAECBAgQIECAAAECBPossGNzUHIA9u7eE9aOrOeE0JdAMYG4H2OxJ4uRCkSAAAECBAgQIECAAAECBAgQ6L3APM5AfWK299sKAAECBAgQIECAAAECBAgQIECAAAECbQs4mG1b3HgECBAgQIAAAQIECBAgQIAAAQIECPRewMFs77cAAAIECBAgQIAAAQIECBAgQIAAAQIE2hZwMNu2uPE6L7B68FB2jssSY2X/gRB/csqyWESD3LnwHN1JXfAssa658yiRQ4kYJfZniTx4RsVh6YJHF3KIIiX2aFfmkptHbn+ew3ssvuJZ3iPX1P1edk14ds9zNCPvCBDos4CD2T6vvrkTIECAAAECBAgQIECAAAECBAgQILAQgR2bg5Iz8jy+kSwnH337LRD3Yyy33X5HuPyyS0cw6v7mPm3TVB+DNbVpqq+LkeZQVx+vpW1mGWPWGBsbG7Fr2Llz50gO8VpTHk3184qRWk0yRl2baWNMOtcczzbzjGOlJfWYdK5b9Y/Xm2I01VcxUs94re08qzzir1VJc4jXmubSVF8XY9oxJo1R2jOOm+baxlxnGWNeeS6D56R7J7ZLy7zWPTVNx4hjj699U33sk7YZ7z9eH983tWmqr4uR5lBXH6+lbWYZY6sYPKPMqeuaetfVx2tpm2pN5ulZl0eaQ139VnnG61VpI8asY0zjGeeTjlOtSTXP8fr4frxN2r+ufjzGeP/x+nnFmDbPKo+2Pcc9ZvGadq6zjDFrnpXnNVdfFUMoBAj0SGAuZ6DxYDannLdrd053fQkUFYj7MXdP3rN6b3ZOyxJj38pdm/EnpyyLRTTInQvP0Z3UBc8S65o7jxI5lIhRYn+WyINnVByWLnh0IYcoUmKPdmUuuXnk9uc5vMfiK57lPXJN3e9l14Rn9zxHM/KOAIHtIpB73lQ3T48y6NHJvqkSIECAAAECBAgQIECAAAECBAgQINANAY8y6MY6yKKQQPUog7Uj64UiCkOAAAECBAgQIECAAAECBAgQINB3gXk8ysAnZvu+q8yfAAECBAgQIECAAAECBAgQIECAAIHWBRzMtk5uQAIECBAgQIAAAQIECBAgQIAAAQIE+i7gYLbvO8D8TxGo+0bPUxo1XFiWGCv7D4T4k1OWxSIa5M6F5+hO6oJniXXNnUeJHErEKLE/S+TBMyoOSxc8upBDFCmxR7syl9w8cvvzHN5j8RXP8h65pu73smvCs3ueoxl5R4BAnwUczPZ59c2dAAECBAgQIECAAAECBAgQIECAAIGFCDiYXQi7QQkQIECAAAECBAgQIECAAAECBAgQ6LOAg9k+r765EyBAgAABAgQIECBAgAABAgQIECCwEAEHswthNygBAgQIECBAgAABAgQIECBAgAABAn0W2LE5KDkAe3fvCWtH1nNC6EugmEDcj7HYk8VIBSJAgAABAgQIECBAgAABAgQI9F5gHmegPjHb+20FgAABAgQIECBAgAABAgQIECBAgACBtgUczLYtbjwCBAgQIECAAAECBAgQIECAAAECBHov4GC291sAAAECBAgQIECAAAECBAgQIECAAAECbQs4mG1b3HidF1g9eCg7x2WJsbL/QIg/OWVZLKJB7lx4ju6kLniWWNfceZTIoUSMEvuzRB48o+KwdMGjCzlEkRJ7tCtzyc0jtz/P4T0WX/Es75Fr6n4vuyY8u+c5mpF3BAj0WcDBbJ9X39wJECBAgAABAgQIECBAgAABAgQIEFiIwI7NQckZeR7fSJaTj779Foj7MZbbbr8jXH7ZpSMYdX9zn7Zpqo/Bmto01dfFSHOoq4/X0jazjDFrjI2Njdg17Ny5cySHeK0pj6b6ecVIrSYZo67NtDEmnWuOZ5t5xrHSknpMOtet+sfrTTGa6qsYqWe81naeVR7x16qkOcRrTXNpqq+LMe0Yk8Yo7RnHTXNtY66zjDGvPJfBc9K9E9ulZV7rnpqmY8Sxx9e+qT72SduM9x+vj++b2jTV18VIc6irj9fSNrOMsVUMnlHm1HVNvevq47W0TbUm8/SsyyPNoa5+qzzj9aq0EWPWMabxjPNJx6nWpJrneH18P94m7V9XPx5jvP94/bxiTJtnlUfbnuMes3hNO9dZxpg1z8rzmquviiEUAgR6JDCXM9B4MJtTztu1O6e7vgSKCsT9mLsn71m9NzunZYmxb+WuzfiTU5bFIhrkzoXn6E7qgmeJdc2dR4kcSsQosT9L5MEzKg5LFzy6kEMUKbFHuzKX3Dxy+/Mc3mPxFc/yHrmm7veya8Kze56jGXlHgMB2Ecg9b6qbp0/M9uhkvw9TrT4xu3ZkvQ/TNUcCBAgQIECAAAECBAgQIECAAIEWBObxiVnPmG1h4QxBgAABAgQIECBAgAABAgQIECBAgACBVMDBbKrhNQECBAgQIECAAAECBAgQIECAAAECBFoQcDDbArIhCBAgQIAAAQIECBAgQIAAAQIECBAgkAo4mE01vCYwEKj7Rs9pYZYlxsr+AyH+5JRlsYgGuXPhObqTuuBZYl1z51EihxIxSuzPEnnwjIrD0gWPLuQQRUrs0a7MJTeP3P48h/dYfMWzvEeuqfu97Jrw7J7naEbeESDQZwEHs31efXMnQIAAAQIECBAgQIAAAQIECBAgQGAhAg5mF8JuUAIECBAgQIAAAQIECBAgQIAAAQIE+izgYLbPq2/uBAgQIECAAAECBAgQIECAAAECBAgsRMDB7ELYDUqAAAECBAgQIECAAAECBAgQIECAQJ8FdmwOSg7A3t17wtqR9ZwQ+hIoJhD3Yyz2ZDFSgQgQIECAAAECBAgQIECAAAECvReYxxmoT8z2flsBIECAAAECBAgQIECAAAECBAgQIECgbQEHs22LG48AAQIECBAgQIAAAQIECBAgQIAAgd4LOJjt/RYAQIAAAQIECBAgQIAAAQIECBAgQIBA2wIOZtsWN17nBVYPHsrOcVlirOw/EOJPTlkWi2iQOxeeozupC54l1jV3HiVyKBGjxP4skQfPqDgsXfDoQg5RpMQe7cpccvPI7c9zeI/FVzzLe+Saut/LrgnP7nmOZuQdAQJ9FvDlX31e/SWce/XlX7fdfke4/LJLR2ZY9x+IaZum+hisqU1TfV2MNIe6+ngtbTPLGLPG2NjYiF3Dzp07R3KI15ryaKqfV4zUapIx6tpMG2PSueZ4tplnHCstqcekc92qf7zeFKOpvoqResZrbedZ5RF/rUqaQ7zWNJem+roY044xaYzSnnHcNNc25jrLGPPKcxk8J907sV1a5rXuqWk6Rhx7fO2b6mOftM14//H6+L6pTVN9XYw0h7r6eC1tM8sYW8XgGWVOXdfUu64+XkvbVGsyT8+6PNIc6uq3yjNer0obMWYdYxrPOJ90nGpNqnmO18f3423S/nX14zHG+4/XzyvGtHlWebTtOe4xi9e0c51ljFnzrDyvufqqGEIhQKBHAvP48q+wmVnO27U7M4LuBMoJxP2YuyfvWb03O6FlibFv5a7N+JNTlsUiGuTOhefoTuqCZ4l1zZ1HiRxKxCixP0vkwTMqDksXPLqQQxQpsUe7MpfcPHL78xzeY/EVz/Ieuabu97JrwrN7nqMZeUeAwHYRyD1vqpunRxn06GTfVAkQIECAAAECBAgQIECAAAECBAgQ6IaARxl0Yx1kUUigepTB2pH1QhGFIUCAAAECBAgQIECAAAECBAgQ6LvAPB5l4BOzfd9V5k+AAAECBAgQIECAAAECBAgQIECAQOsCDmZbJzcgAQIECBAgQIAAAQIECBAgQIAAAQJ9F3Aw2/cdYP4ECBAgQIAAAQIECBAgQIAAAQIECLQu4GC2dXIDdl1g9eCh7BSXJcbK/gMh/uSUZbGIBrlz4Tm6k7rgWWJdc+dRIocSMUrszxJ58IyKw9IFjy7kEEVK7NGuzCU3j9z+PIf3WHzFs7xHrqn7veya8Oye52hG3hEg0GcBB7N9Xn1zJ0CAAAECBAgQIECAAAECBAgQIEBgIQIOZhfCblACBAgQIECAAAECBAgQIECAAAECBPos4GC2z6tv7gQIECBAgAABAgQIECBAgAABAgQILETAwexC2A1KgAABAgQIECBAgAABAgQIECBAgECfBXZsDkoOwN7de8LakfWcEPoSKCYQ92Ms9mQxUoEIECBAgAABAgQIECBAgAABAr0XmMcZqE/M9n5bASBAgAABAgQIECBAgAABAgQIECBAoG0BB7NtixuPAAECBAgQIECAAAECBAgQIECAAIHeCziY7f0WADAusHrw0Pilqd8vS4yV/QdC/Mkpy2IRDXLnwnN0J3XBs8S65s6jRA4lYpTYnyXy4BkVh6ULHl3IIYqU2KNdmUtuHrn9eQ7vsfiKZ3mPXFP3e9k14dk9z9GMvCNAoM8CDmb7vPrmToAAAQIECBAgQIAAAQIECBAgQIDAQgR8+ddC2A06iUD1RV6TtB1v8/Z3vDNcc/VVI5fj3xSPl7RNU33s29Smqb4uRppDXX28lraZZYwSMdIclinPurm0Mddpx1hUnvZOFBiWpnVrqo+R0jaz3M9p/xivjRizjLGIucrz9L/vbZe9s13ytMejwLCk67Zd7sWY/Xiu6Tzq6uO1tM14//H6uhhp/7r6ecSYJc/xPGaJMe1cZxlDnlFgWJrMm+pjpLSNNdn699bUabgCXhEgsMwCvvxrmVfX3E4RWDuyfso1FwgQIECAAAECBAgQIECAAAECBAgshcBmZjlv1+7MCLoTKCcQ92Punrxn9d7shJYlxr6VuzbjT05ZFotokDsXnqM7qQueJdY1dx4lcigRo8T+LJEHz6g4LF3w6EIOUaTEHu3KXHLzyO3Pc3iPxVc8y3vkmrrfy64Jz+55jmbkHQEC20Ug97ypbp4eZbAUx+smUQlUjz/wadtKxK8ECBAgQIAAAQIECBAgQIAAAQK5Ah5lkCuoPwECBAgQIECAAAECBAgQIECAAAECBDog8Oc6kIMUCBAgQIAAAQIECBAgQIAAAQIECBAg0CsBB7O9Wm6TJUCAAAECBAgQIECAAAECBAgQIECgCwIOZruwCnLolMDqwUPZ+SxLjJX9B0L8ySnLYhENcufCc3QndcGzxLrmzqNEDiVilNifJfLgGRWHpQseXcghipTYo12ZS24euf15Du+x+IpneY9cU/d72TXh2T3P0Yy8I0CgzwIOZvu8+uZOgAABAgQIECBAgAABAgQIECBAgMBCBBzMLoTdoAQIECBAgAABAgQIECBAgAABAgQI9FnAwWyfV9/cCRAgQIAAAQIECBAgQIAAAQIECBBYiMCOzUHJGXnv7j1h7ch6Tgh9CRQTiPsxFnuyGKlABAgQIECAAAECBAgQIECAAIHeC8zjDNQnZnu/rQAQIECAAAECBAgQIECAAAECBAgQINC2gIPZtsWNR4AAAQIECBAgQIAAAQIECBAgQIBA7wUczPZ+CwAgQIAAAQIECBAgQIAAAQIECBAgQKBtAQezbYsbr/MCqwcPZee4LDFW9h8I8SenLItFNMidC8/RndQFzxLrmjuPEjmUiFFif5bIg2dUHJYueHQhhyhSYo92ZS65eeT25zm8x+IrnuU9ck3d72XXhGf3PEcz8o4AgT4LOJjt8+qbOwECBAgQIECAAAECBAgQIECAAAECCxHYsTkoOSPP4xvJcvLRt98CcT/Gctvtd4TLL7t0BKPub+7TNk31MVhTm6b6uhhpDnX18VraZpYxZo2xsbERu4adO3eO5BCvNeXRVD+vGKnVJGPUtZk2xqRzzfFsM884VlpSj0nnulX/eL0pRlN9FSP1jNfazrPKI/5alTSHeK1pLk31dTGmHWPSGKU947hprm3MdZYx5pXnMnhOundiu7TMa91T03SMOPb42jfVxz5pm/H+4/XxfVObpvq6GGkOdfXxWtpmljG2isEzypy6rql3XX28lrap1mSennV5pDnU1W+VZ7xelTZizDrGNJ5xPuk41ZpU8xyvj+/H26T96+rHY4z3H6+fV4xp86zyaNtz3GMWr2nnOssYs+ZZeV5z9VUxhEKAQI8E5nIGGg9mc8p5u3bndNeXQFGBuB9z9+Q9q/dm57QsMfat3LUZf3LKslhEg9y58BzdSV3wLLGuufMokUOJGCX2Z4k8eEbFYemCRxdyiCIl9mhX5pKbR25/nsN7LL7iWd4j19T9XnZNeHbPczQj7wgQ2C4CuedNdfP0KIMeneybKgECBAgQIECAAAECBAgQIECAAAEC3RDwKINurIMsCglUjzJYO7JeKKIwBAgQIECAAAECBAgQIECAAAECfReYx6MMfGK277vK/AkQIECAAAECBAgQIECAAAECBAgQaF3AwWzr5AYkQIAAAQIECBAgQIAAAQIECBAgQKDvAg5m+74DzJ8AAQIECBAgQIAAAQIECBAgQIAAgdYFHMy2Tm7ArgusHjyUneKyxFjZfyDEn5yyLBbRIHcuPEd3Uhc8S6xr7jxK5FAiRon9WSIPnlFxWLrg0YUcokiJPdqVueTmkduf5/Aei694lvfINXW/l10Tnt3zHM3IOwIE+izgYLbPq2/uBAgQIECAAAECBAgQIECAAAECBAgsRMDB7ELYDUqAAAECBAgQIECAAAECBAgQIECAQJ8FHMz2efXNnQABAgQIECBAgAABAgQIECBAgACBhQjs2ByUnJH37t4T1o6s54TQl0AxgbgfY7Eni5EKRIAAAQIECBAgQIAAAQIECBDovcA8zkB9Yrb32woAAQIECBAgQIAAAQIECBAgQIAAAQJtCziYbVvceAQIECBAgAABAgQIECBAgAABAgQI9F7AwWzvtwAAAgQIECBAgAABAgQIECBAgAABAgTaFnAw27a48TovsHrwUHaOyxJjZf+BEH9yyrJYRIPcufAc3Uld8CyxrrnzKJFDiRgl9meJPHhGxWHpgkcXcogiJfZoV+aSm0duf57Deyy+4lneI9fU/V52TXh2z3M0I+8IEOizgIPZPq++uRMgQIAAAQIECBAgQIAAAQIECBAgsBCBHZuDkjPyPL6RLCcfffstEPdjLLfdfke4/LJLRzDq/uY+bdNUH4M1tWmqr4uR5lBXH6+lbWYZY9YYGxsbsWvYuXPnSA7xWlMeTfXzipFaTTJGXZtpY0w61xzPNvOMY6Ul9Zh0rlv1j9ebYjTVVzFSz3it7TyrPOKvVUlziNea5tJUXxdj2jEmjVHaM46b5trGXGcZY155LoPnpHsntkvLvNY9NU3HiGOPr31TfeyTthnvP14f3ze1aaqvi5HmUFcfr6VtZhljqxg8o8yp65p619XHa2mbak3m6VmXR5pDXf1WecbrVWkjxqxjTOMZ55OOU61JNc/x+vh+vE3av65+PMZ4//H6ecWYNs8qj7Y9xz1m8Zp2rrOMMWuelec1V18VQygECPRIYC5noPFgNqect2t3Tnd9CRQViPsxd0/es3pvdk7LEmPfyl2b8SenLItFNMidC8/RndQFzxLrmjuPEjmUiFFif5bIg2dUHJYueHQhhyhSYo92ZS65eeT25zm8x+IrnuU9ck3d72XXhGf3PEcz8o4Age0ikHveVDdPjzLo0cm+qRIgQIAAAQIECBAgQIAAAQIECBAg0A0BjzLoxjrIopBA9SiDtSPrhSIKQ4AAAQIECBAgQIAAAQIECBAg0HeBeTzKwCdm+76rzJ8AAQIECBAgQIAAAQIECBAgQIAAgdYFHMy2Tm5AAgQIECBAgAABAgQIECBAgAABAgT6LuBgtu87wPxPEaj7Rs9TGjVcWJYYK/sPhPiTU5bFIhrkzoXn6E7qgmeJdc2dR4kcSsQosT9L5MEzKg5LFzy6kEMUKbFHuzKX3Dxy+/Mc3mPxFc/yHrmm7veya8Kze56jGXlHgECfBRzM9nn1zZ0AAQIECBAgQIAAAQIECBAgQIAAgYUIOJhdCLtBCRAgQIAAAQIECBAgQIAAAQIECBDos4CD2T6vvrkTIECAAAECBAgQIECAAAECBAgQILAQAQezC2E3KAECBAgQIECAAAECBAgQIECAAAECfRbYsTkoOQB7d+8Ja0fWc0LoS6CYQNyPsdiTxUgFIkCAAAECBAgQIECAAAECBAj0XmAeZ6A+Mdv7bQWAAAECBAgQIECAAAECBAgQIECAAIG2BRzMti1uPAIECBAgQIAAAQIECBAgQIAAAQIEei/gYLb3WwAAAQIECBAgQIAAAQIECBAgQIAAAQJtCziYbVvceJ0XWD14KDvHZYmxsv9AiD85ZVksokHuXHiO7qQueJZY19x5lMihRIwS+7NEHjyj4rB0waMLOUSREnu0K3PJzSO3P8/hPRZf8SzvkWvqfi+7Jjy75zmakXcECPRZwMFsn1ff3AkQIECAAAECBAgQIECAAAECBAgQWIjAjs1ByRl5Ht9IlpOPvv0WiPsxlttuvyNcftmlIxh1f3Oftmmqj8Ga2jTV18VIc6irj9fSNrOMMWuMjY2N2DXs3LlzJId4rSmPpvp5xUitJhmjrs20MSada45nm3nGsdKSekw61636x+tNMZrqqxipZ7zWdp5VHvHXqqQ5xGtNc2mqr4sx7RiTxijtGcdNc21jrrOMMa88l8Fz0r0T26VlXuuemqZjxLHH176pPvZJ24z3H6+P75vaNNXXxUhzqKuP19I2s4yxVQyeUebUdU296+rjtbRNtSbz9KzLI82hrn6rPOP1qrQRY9YxpvGM80nHqdakmud4fXw/3ibtX1c/HmO8/3j9vGJMm2eVR9ue4x6zeE0711nGmDXPyvOaq6+KIRQCBHokMJcz0Hgwm1PO27U7p7u+BIoKxP2YuyfvWb03O6dlibFv5a7N+JNTlsUiGuTOhefoTuqCZ4l1zZ1HiRxKxCixP0vkwTMqDksXPLqQQxQpsUe7MpfcPHL78xzeY/EVz/Ieuabu97JrwrN7nqMZeUeAwHYRyD1vqpunRxn06GTfVAkQIECAAAECBAgQIECAAAECBAgQ6IaARxl0Yx1kUUigepTB2pH1QhGFIUCAAAECBAgQIECAAAECBAgQ6LvAPB5l4BOzfd9V5k+AAAECBAgQIECAAAECBAgQIECAQOsCDmZbJzcgAQIECBAgQIAAAQIECBAgQIAAAQJ9F3Aw2/cdYP6nCNR9o+cpjRouLEuMlf0HQvzJKctiEQ1y58JzdCd1wbPEuubOo0QOJWKU2J8l8uAZFYelCx5dyCGKlNijXZlLbh65/XkO77H4imd5j1xT93vZNeHZPc/RjLwjQKDPAg5m+7z65k6AAAECBAgQIECAAAECBAgQIECAwEIEHMwuhN2gBAgQIECAAAECBAgQIECAAAECBAj0WcDBbJ9X39wJECBAgAABAgQIECBAgAABAgQIEFiIgIPZhbAblAABAgQIECBAgAABAgQIECBAgACBPgvs2ByUHIC9u/eEtSPrOSH0JVBMIO7HWOzJYqQCESBAgAABAgQIECBAgAABAgR6LzCPM1CfmO39tgJAgAABAgQIECBAgAABAgQIECBAgEDbAg5m2xY3HgECBAgQIECAAAECBAgQIECAAAECvRdwMNv7LQCAAAECBAgQIECAAAECBAgQIECAAIG2BRzMti1uvM4LrB48lJ3jssRY2X8gxJ+csiwW0SB3LjxHd1IXPEusa+48SuRQIkaJ/VkiD55RcVi64NGFHKJIiT3albnk5pHbn+fwHouveJb3yDV1v5ddE57d8xzNyDsCBPos4Mu/+rz6Szj36su/brv9jnD5ZZeOzLDuPxDTNk31MVhTm6b6uhhpDnX18VraZpYxZo2xsbERu4adO3eO5BCvNeXRVD+vGKnVJGPUtZk2xqRzzfFsM884VlpSj0nnulX/eL0pRlN9FSP1jNfazrPKI/5alTSHeK1pLk31dTGmHWPSGKU947hprm3MdZYx5pXnMnhOundiu7TMa91T03SMOPb42jfVxz5pm/H+4/XxfVObpvq6GGkOdfXxWtpmljG2isEzypy6rql3XX28lrap1mSennV5pDnU1W+VZ7xelTZizDrGNJ5xPuk41ZpU8xyvj+/H26T96+rHY4z3H6+fV4xp86zyaNtz3GMWr2nnOssYs+ZZeV5z9VUxhEKAQI8E5vHlX2Ezs5y3a3dmBN0JlBOI+zF3T96zem92QssSY9/KXZvxJ6csi0U0yJ0Lz9Gd1AXPEuuaO48SOZSIUWJ/lsiDZ1Qcli54dCGHKFJij3ZlLrl55PbnObzH4iue5T1yTd3vZdeEZ/c8RzPyjgCB7SKQe95UN0+PMujRyb6pEiBAgAABAgQIECBAgAABAgQIECDQDQGPMujGOsiikED1KIO1I+uFIgpDgAABAgQIECBAgAABAgQI93v/VAAADZZJREFUECDQd4F5PMrAJ2b7vqvMnwABAgQIECBAgAABAgQIECBAgACB1gUczLZObkACBAgQIECAAAECBAgQIECAAAECBPou4GC27zvA/AkQIECAAAECBAgQIECAAAECBAgQaF3AwWzr5AbsusDqwUPZKS5LjJX9B0L8ySnLYhENcufCc3QndcGzxLrmzqNEDiVilNifJfLgGRWHpQseXcghipTYo12ZS24euf15Du+x+IpneY9cU/d72TXh2T3P0Yy8I0CgzwIOZvu8+uZOgAABAgQIECBAgAABAgQIECBAgMBCBBzMLoTdoAQIECBAgAABAgQIECBAgAABAgQI9FnAwWyfV9/cCRAgQIAAAQIECBAgQIAAAQIECBBYiICD2YWwG5QAAQIECBAgQIAAAQIECBAgQIAAgT4L7NgclByAvbv3hLUj6zkh9CVQTCDux1jsyWKkAhEgQIAAAQIECBAgQIAAAQIEei8wjzNQn5jt/bYCQIAAAQIECBAgQIAAAQIECBAgQIBA2wIOZtsWNx4BAgQIECBAgAABAgQIECBAgAABAr0XcDDb+y0AYFxg9eCh8UtTv1+WGCv7D4T4k1OWxSIa5M6F5+hO6oJniXXNnUeJHErEKLE/S+TBMyoOSxc8upBDFCmxR7syl9w8cvvzHN5j8RXP8h65pu73smvCs3ueoxl5R4BAnwUczPZ59c2dAAECBAgQIECAAAECBAgQIECAAIGFCPjyr4WwG3QSgeqLvCZpO97m7e94Z7jm6qtGLse/KR4vaZum+ti3qU1TfV2MNIe6+ngtbTPLGCVipDksU551c2ljrtOOsag87Z0oMCxN69ZUHyOlbWa5n9P+MV4bMWYZYxFzlefpf9/bLntnu+Rpj0eBYUnXbbvcizH78VzTedTVx2tpm/H+4/V1MdL+dfXziDFLnuN5zBJj2rnOMoY8o8CwNJk31cdIaRtrsvXvranTcAW8IkBgmQV8+dcyr665nSKwdmT9lGsuECBAgAABAgQIECBAgAABAgQIEFgGAZ+YXYZVNAcCBAgQIECAAAECBAgQIECAAAECBOYm4BOzc6MVmAABAgQIECBAgAABAgQIECBAgAABAu0J+PKv9qyNRIAAAQIECBAgQIAAAQIECBAgQIAAgeMCDmZtBAIECBAgQIAAAQIECBAgQIAAAQIECLQs4GC2ZXDDESBAgAABAgQIECBAgAABAgQIECBAwMGsPUCAAAECBAgQIECAAAECBAgQIECAAIGWBRzMtgxuOAIECBAgQIAAAQIECBAgQIAAAQIECDiYtQcIECBAgAABAgQIECBAgAABAgQIECDQsoCD2ZbBDUeAAAECBAgQIECAAAECBAgQIECAAAEHs/YAAQIECBAgQIAAAQIECBAgQIAAAQIEWhZwMNsyuOEIECBAgAABAgQIECBAgAABAgQIECDgYNYeIECAAAECBAgQIECAAAECBAgQIECAQMsCDmZbBjccAQIECBAgQIAAAQIECBAgQIAAAQIEHMzaAwQIECBAgAABAgQIECBAgAABAgQIEGhZwMFsy+CGI0CAAAECBAgQIECAAAECBAgQIECAgINZe4AAAQIECBAgQIAAAQIECBAgQIAAAQItCziYbRnccAQIECBAgAABAgQIECBAgAABAgQIEHAwaw8QIECAAAECBAgQIECAAAECBAgQIECgZQEHsy2DG44AAQIECBAgQIAAAQIECBAgQIAAAQIOZu0BAgQIECBAgAABAgQIECBAgAABAgQItCzgYLZlcMMRIECAAAECBAgQIECAAAECBAgQIEDAwaw9QIAAAQIECBAgQIAAAQIECBAgQIAAgZYFHMy2DG44AgQIECBAgAABAgQIECBAgAABAgQIOJi1BwgQIECAAAECBAgQIECAAAECBAgQINCygIPZlsENR4AAAQIECBAgQIAAAQIECBAgQIAAAQez9gABAgQIECBAgAABAgQIECBAgAABAgRaFnAw2zK44QgQIECAAAECBAgQIECAAAECBAgQIOBg1h4gQIAAAQIECBAgQIAAAQIECBAgQIBAywIOZlsGNxwBAgQIECBAgAABAgQIECBAgAABAgQczNoDBAgQIECAAAECBAgQIECAAAECBAgQaFnAwWzL4IYjQIAAAQIECBAgQIAAAQIECBAgQICAg1l7gAABAgQIECBAgAABAgQIECBAgAABAi0LOJhtGdxwBAgQIECAAAECBAgQIECAAAECBAgQcDBrDxAgQIAAAQIECBAgQIAAAQIECBAgQKBlAQezLYMbjgABAgQIECBAgAABAgQIECBAgAABAg5m7QECBAgQIECAAAECBAgQIECAAAECBAi0LOBgtmVwwxEgQIAAAQIECBAgQIAAAQIECBAgQMDBrD1AgAABAgQIECBAgAABAgQIECBAgACBlgUczLYMbjgCBAgQIECAAAECBAgQIECAAAECBAg4mLUHCBAgQIAAAQIECBAgQIAAAQIECBAg0LKAg9mWwQ1HgAABAgQIECBAgAABAgQIECBAgAABB7P2AAECBAgQIECAAAECBAgQIECAAAECBFoWcDDbMrjhCBAgQIAAAQIECBAgQIAAAQIECBAg4GDWHiBAgAABAgQIECBAgAABAgQIECBAgEDLAg5mWwY3HAECBAgQIECAAAECBAgQIECAAAECBBzM2gMECBAgQIAAAQIECBAgQIAAAQIECBBoWcDBbMvghiNAgAABAgQIECBAgAABAgQIECBAgICDWXuAAAECBAgQIECAAAECBAgQIECAAAECLQs4mG0Z3HAECBAgQIAAAQIECBAgQIAAAQIECBBwMGsPECBAgAABAgQIECBAgAABAgQIECBAoGUBB7MtgxuOAAECBAgQIECAAAECBAgQIECAAAECDmbtAQIECBAgQIAAAQIECBAgQIAAAQIECLQs4GC2ZXDDESBAgAABAgQIECBAgAABAgQIECBAwMGsPUCAAAECBAgQIECAAAECBAgQIECAAIGWBRzMtgxuOAIECBAgQIAAAQIECBAgQIAAAQIECDiYtQcIECBAgAABAgQIECBAgAABAgQIECDQsoCD2ZbBDUeAAAECBAgQIECAAAECBAgQIECAAAEHs/YAAQIECBAgQIAAAQIECBAgQIAAAQIEWhZwMNsyuOEIECBAgAABAgQIECBAgAABAgQIECDgYNYeIECAAAECBAgQIECAAAECBAgQIECAQMsCDmZbBjccAQIECBAgQIAAAQIECBAgQIAAAQIEHMzaAwQIECBAgAABAgQIECBAgAABAgQIEGhZwMFsy+CGI0CAAAECBAgQIECAAAECBAgQIECAgINZe4AAAQIECBAgQIAAAQIECBAgQIAAAQItCziYbRnccAQIECBAgAABAgQIECBAgAABAgQIEHAwaw8QIECAAAECBAgQIECAAAECBAgQIECgZQEHsy2DG44AAQIECBAgQIAAAQIECBAgQIAAAQL/fzt3bINAEMQAUHQCov+SEHQC1PC8LCMPOezu+CIHKGa9AQIECBAgQIAAAQIECBAgQIAAAQIECIQFFLNhcOMIECBAgAABAgQIECBAgAABAgQIECCgmPUGCBAgQIAAAQIECBAgQIAAAQIECBAgEBZQzIbBjSNAgAABAgQIECBAgAABAgQIECBAgIBi1hsgQIAAAQIECBAgQIAAAQIECBAgQIBAWEAxGwY3jgABAgQIECBAgAABAgQIECBAgAABAopZb4AAAQIECBAgQIAAAQIECBAgQIAAAQJhAcVsGNw4AgQIECBAgAABAgQIECBAgAABAgQIKGa9AQIECBAgQIAAAQIECBAgQIAAAQIECIQFFLNhcOMIECBAgAABAgQIECBAgAABAgQIECCgmPUGCBAgQIAAAQIECBAgQIAAAQIECBAgEBZQzIbBjSNAgAABAgQIECBAgAABAgQIECBAgIBi1hsgQIAAAQIECBAgQIAAAQIECBAgQIBAWODy/n6Ozrxfb0e/6nsECBAgQIAAAQIECBAgQIAAAQIECBD4K4HH63navj8Vs6dt4YcIECBAgAABAgQIECBAgAABAgQIECAwJOCvDIbCdioBAgQIECBAgAABAgQIECBAgAABAh0CitmOHGxBgAABAgQIECBAgAABAgQIECBAgMCQgGJ2KGynEiBAgAABAgQIECBAgAABAgQIECDQIaCY7cjBFgQIECBAgAABAgQIECBAgAABAgQIDAkoZofCdioBAgQIECBAgAABAgQIECBAgAABAh0CitmOHGxBgAABAgQIECBAgAABAgQIECBAgMCQgGJ2KGynEiBAgAABAgQIECBAgAABAgQIECDQIaCY7cjBFgQIECBAgAABAgQIECBAgAABAgQIDAkoZofCdioBAgQIECBAgAABAgQIECBAgAABAh0CitmOHGxBgAABAgQIECBAgAABAgQIECBAgMCQgGJ2KGynEiBAgAABAgQIECBAgAABAgQIECDQIaCY7cjBFgQIECBAgAABAgQIECBAgAABAgQIDAkoZofCdioBAgQIECBAgAABAgQIECBAgAABAh0CitmOHGxBgAABAgQIECBAgAABAgQIECBAgMCQgGJ2KGynEiBAgAABAgQIECBAgAABAgQIECDQIfABgQEHkXopSQAAAAAASUVORK5CYII=" alt></p>
<p>(iv) Identify the feature of your graph in (d)(iii) that gives the probability of finding the electron at a particular position and at a particular time.</p>
<div class="marks">[9]</div>
<div class="question_part_label">d.</div>
</div>
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