A) \[\frac{eJ}{m}\]
B) \[\frac{eJ}{2m}\]
C) \[eJ2m\]
D) \[\frac{2m}{eJ}\]
Correct Answer: B
Solution :
Magnetic moment \[M=nIA\] \[=nI\pi {{r}^{2}}\] Taking \[n=1\] and putting \[I=\frac{q}{t}=\frac{e}{\frac{2\pi r}{v}}=\frac{ev}{2\pi r}\] Then, \[M=\frac{ev}{2\pi r}.\pi {{r}^{2}}=\frac{evr}{2}\] or \[M=\frac{e}{2m}mvr=\frac{eJ}{2m}\]
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