A) \[\pi ve{{r}^{2}}\]
B) \[\pi v{{r}^{2}}/e\]
C) \[\pi v\frac{e}{v}\]
D) \[\pi e\frac{{{r}^{2}}}{v}\]
Correct Answer: A
Solution :
(a) \[\pi ve{{r}^{2}}\] Magnetic Moment, \[M=lA\] We know that, \[l=\frac{ch\arg e}{time}\] and time \[=\frac{1}{frequency}\] \[\therefore l=chagre\times frequency=ev\] \[\Rightarrow M=evA=ev\,(\pi {{r}^{2}})\] \[=\pi ve{{r}^{2}}\]
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