Moving Charges and Magnetism - Result Question 9
9. Under the influence of a uniform magnetic field, a charged particle moves with constant speed $v$ in a circle of radius $R$. The time period of rotation of the particle:
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(a) depends on $R$ and not on $V$
(b) is independent of both $v$ and $R$
(c) depends on both $v$ and $R$
(d) depends on $v$ and not on $R$
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Answer:
Correct Answer: 9. (b)
Solution:
- (b) The time period of the charged particle is given by, $T=\frac{2 \pi m}{qB}$
Thus, time period is independent of both $v$ and $R$.
