Consider an electron trapped in a coulomb potential in the state corresponding to maximum orbital angular momentum, 1 = n-1. (a) show that (r)-ron(n+1) (a) =r2n2 (n + 1)(n+1) and that (b) use the above results to show that, for large values of n and e, →0 r) that is, show that, for large values of n, the electron is well localized near the surface of a sphere of radius n2ro and has energy which is the same as that of a classical electron in a circular orbit of the same radius.