Questions
Question 1
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What did Rutherford scattering show about the atom?
Question 2
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What is the charge of an alpha particle?
Question 3
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Why were large-angle alpha deflections surprising in a diffuse positive-charge model?
Question 4
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An atom has radius about \(10^{-10}\,\mathrm m\) and a nucleus radius about \(10^{-15}\,\mathrm m\). Find the ratio of radii.
Question 5
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State the Coulomb potential energy between an alpha particle and a nucleus of charge \(+Ze\).
Question 6
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In a head-on alpha approach, why can the initial kinetic energy be set equal to electric potential energy at closest approach?
Question 7
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Derive the closest-approach distance for a head-on alpha particle with kinetic energy \(K\).
Question 8
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Why do most alpha particles pass through a thin metal foil with little deflection?
Question 9
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An alpha particle has kinetic energy \(5.0\,\mathrm{MeV}\). Convert this energy to joules.
Question 10
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Estimate the closest approach to gold \((Z=79)\) for a head-on \(5.0\,\mathrm{MeV}\) alpha particle.
Question 11
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Explain why increasing alpha-particle kinetic energy decreases the distance of closest approach.
Question 12
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Why does a rare backward alpha scattering event imply a massive target centre?
Question 13
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Compare the roles of electrons and the nucleus in the nuclear atom model.
Question 14
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If the foil is made thicker, what happens to the chance of alpha scattering, and why?
Question 15
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Why does Rutherford scattering not by itself explain atomic stability?
Question 16
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Derive how closest approach depends on nuclear charge number \(Z\) for fixed alpha kinetic energy.
Question 17
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Use Rutherford scattering to argue against the plum-pudding model.
Question 18
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Why is the closest-approach calculation an upper bound on nuclear radius?
Question 19
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Explain why quantum ideas are needed after the nuclear atom is established.
Question 20
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A head-on closest-approach estimate gives \(r_{\min}=3.0\times10^{-14}\,\mathrm m\). What can and cannot be concluded?