Moving Charges and Magnetism - Result Question 14
14. Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius $R$ with constant speed $v$. The time period of the motion
[2007]
(a) depends on both $R$ and $v$
(b) is independent of both $R$ and $v$
(c) depends on $R$ and not on $v$
(d) depends on $v$ and not on $R$
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Answer:
Correct Answer: 14. (b)
Solution:
- (b)
When a test charge $q_0$ enters a magnetic field $\vec{B}$ directed along $z$-axis, with a velocity $\vec{v}$ making angles $d$ with the $z$-axis. The time period of the motion is independent of $R$ and $v$.