7. Show that In n gives the number of independent hydrogen states with energy En =-ER/n, i.e. the degeneracy of level En is gn. = (a) Verify that In values 1 and 2. (b) Verify that, if gn = n is valid when n = k, then it is also valid when n = k + 1. - n is valid when the principal quantum number takes on the (a) and (b) together imply that In quantum number. = n is valid for all possible values of the principal =