A) \[\frac{2\pi {{q}^{2}}B}{m}\]
B) \[\frac{2\pi mq}{B}\]
C) \[\frac{2\pi m}{qB}\]
D) \[\frac{2\pi qB}{m}\]
Correct Answer: C
Solution :
[c] Equating magnetic force to centripetal force, [a] \[\frac{m{{v}^{2}}}{r}=qvB\,\sin \,{{90}^{o}}\] Time to complete one revolution, \[T=\frac{2\pi r}{v}=\frac{2\pi m}{qB}\]
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