Question 1 (4pts) a) A hydrogen atom, with the Bohr radius of ao = 5.3 x 10-11 m, is situated between two metal plates 1 mm apart, which are connected to opposite terminals of a 500 V battery. The atomic po- larizability of hydrogen a is given in Table 4.1 of the text as a/(4x) = 0.667 x 10-30 m³. Estimate the fraction of the atomic radius corresponding to the charge separation distance d, and estimate the voltage you would need with this setup to ionize the atom (assume that d = do means “ionize"). b) A point charge q is situated at a large distance r from a neutral atom of polarizability a. Find the force of attraction between them.