Question

An electron of charge $e$ is moving in a circular orbit of radius $r$ around a nucleus, at a frequency $\upsilon$ . The magnetic moment associated with the orbital motion of the electron is

• A. $2\pi \upsilon er^{2}$
• B. $\frac{\pi \upsilon r^{2}}{2}$
• C. $\pi e\upsilon r^{2}$
• D. $\frac{\pi \upsilon r^{2}}{4}$

Answer 1

Answer: (C)

The equivalent current due to the motion of the electron is
$i=e\upsilon$
So, the magnetic moment will be
$M=i\times \pi r^{2}=\pi e\upsilon r^{2}$