Chapter 39, Problem 39.22E

(a)

To determine

To Calculate:

The energy levels $E_2-E_1$ and $E_{10}-E_9$ and determine whether the energy separation between adjacent energy levels increase or decrease when $n$ is increased.

(b)

To determine

To Show:

To show that $E_{n+1}-E_n$ approaches $\frac{\left(27.2\text{eV}\right)}{n^3}$ as $n$ becomes large.

(c)

To determine

Whether $r_{n+1}-r_n$ depends on $n$ and to show the radial distance between adjacent orbits increase,

decrease, or stay the same as $n$ increases.