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 :
[c] \[mvR=\frac{nh}{2\pi }\] (i) |
and \[qvB=\frac{m{{v}^{2}}}{R}\]so \[qB=\frac{mv}{R}\] (ii) |
\[qB\left( \frac{nh}{2\pi mv} \right)=mv\] \[m{{v}^{2}}=\frac{qBnh}{2\pi m}.\] |
\[\frac{1}{2}m{{v}^{2}}=\frac{1}{4\pi m}nhqB\] |
\[E=n\left( \frac{hqB}{4\pi m} \right)\] |
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