Chapter 8, Problem 8.16P

To determine

(a)

To prove:

The orbital dipole moment is $e{a}^2\omega /2$.

To determine

(b)

To prove:

The torque due to a magnetic field which is parallel to orbit plane is $e{a}^2\omega B/2$.

To determine

(c)

To prove:

$\omega ={\left(4\pi {\epsilon }_0{m}_e{a}^3/e^2\right)}^{-1/2}$.

To determine

(d)

The values of angular velocity, torque, and the magnetic moment of an orbit for an atom of hydrogen.