The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

Options

A. speed
B. mass
C. charge
D. Magnetic induction

Answer

A

Explanation

In a circular motion of a uniform magnetic field, the necessary centripetal force to the charged particle is proved by the magnetic force.
i.e. `(mv^(2))/r=qvB` or `r=(mv)/(qB)`
Thus the time period T is `T n=(2pir)/v=(2pi)/v((mv)/(qB))=(2pim)/(qB)` So, T is independent of its speed.