A) \[n\left( \frac{hqB}{2\pi m} \right)\]
B) \[n\left( \frac{hqB}{8\pi m} \right)\]
C) \[n\left( \frac{hqB}{4\pi m} \right)\]
D) \[n\left( \frac{hqB}{\pi m} \right)\]
Correct Answer: C
Solution :
\[mvR=\frac{nh}{2\pi }\] ?(i) and \[qvB=\frac{m{{v}^{2}}}{R}\]so \[qB=\frac{mv}{R}\] ?(ii) \[qB\left( \frac{nh}{2\pi mv} \right)=mv\] \[m{{v}^{2}}=\frac{qBnh}{2\pi m}.\] \[\frac{1}{2}m{{v}^{2}}=\frac{1}{4\pi m}nhqB\] \[E=n\left( \frac{hqB}{4\pi m} \right)\]You need to login to perform this action.
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