Here we investigate the link between n and ℓ, reflected in equation (7-33). (a) Show that...

Here we investigate the link between n and ℓ, reflected in equation (7-33). (a) Show that if a classical point charge were held in a circular orbit about a fixed point charge by the Coulomb force, its kinetic energy would be given by KE = e2/8-пɛ0r. (b) According to equation (7-30), the rotational kinetic energy in hydrogen is h2ℓ(ℓ + 1)/2mr2. Of course, r is not well defined for a "cloud," but by using , argue that the condition that ℓ not exceed n is reasonable.