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] \[qVB=\frac{m{{v}^{2}}}{r}\] and \[\frac{nh}{2\pi }=mvr\] Multiplying equation (i) and (ii), \[\frac{qBnh}{2\pi }={{m}^{2}}{{v}^{2}}\] Now multiplying both sides by\[\frac{1}{2m}\], \[n\frac{qBh}{4\pi m}=\frac{1}{2}m{{v}^{2}}\text{ i}\text{.e}\text{. }KE=n\left[ \frac{qBh}{4\pi m} \right]\]You need to login to perform this action.
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