Question 4**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**State the Coulomb potential energy between an alpha particle and a nucleus of charge \(+Ze\).
Question 6**+In a head-on alpha approach, why can the initial kinetic energy be set equal to electric potential energy at closest approach?
Question 7***Derive the closest-approach distance for a head-on alpha particle with kinetic energy \(K\).
Question 9***+An alpha particle has kinetic energy \(5.0\,\mathrm{MeV}\). Convert this energy to joules.
Question 10****Estimate the closest approach to gold \((Z=79)\) for a head-on \(5.0\,\mathrm{MeV}\) alpha particle.
Question 11****+Explain why increasing alpha-particle kinetic energy decreases the distance of closest approach.
Question 14****+If the foil is made thicker, what happens to the chance of alpha scattering, and why?
Question 16*****Derive how closest approach depends on nuclear charge number \(Z\) for fixed alpha kinetic energy.
Question 20*****A head-on closest-approach estimate gives \(r_{\min}=3.0\times10^{-14}\,\mathrm m\). What can and cannot be concluded?