Chapter 38, Problem 72EAP

To determine

(a)

Show that the allowed radii for electron’s orbit are

$r_n={\left(\frac{n\hslash }{eB}\right)}^{1/2},where\text{ n = 1, 2, 3,}\mathrm{\dots }$

To determine

(b)

The first four allowed radii in a 1.0 T magnetic field

To determine

(c)

Expression for the allowed energy levels ${\text{E}}_n$ in terms of $\hslash$ and cyclotron frequency $f_{cyc}$