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:

  1. (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 $v$.