Q. If the angular momentum of an electron is $\overrightarrow{J}\ $then the magnitude of the magnetic moment will be
A) $\frac{eJ}{m}$
B) $\frac{eJ}{2m}$
C) $eJ\ 2m$
D) $\frac{2m}{eJ}$
Explanation
(b) As we know for circulating electron magnetic moment
$M = \frac{1}{2}evr\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ldots(i)$
And angular momentum $J = mvr\ \ $…(ii)
From equation (i) and (ii), $M = \frac{eJ}{2m}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.