Under the influence of a unifrom magnetic field a charged particle is moving on a circle of radius `R` with Constnant speed `v`. The time period of the motion

Options

A. depends on `v` and not on `R`
B. depdns on `R` and not on `v`,
C. is independent of both `v` and `R`
D. depends on both `v` and `R`

Answer

C

Explanation

The time period of circular motion of the charged particle is given by
`T = (2pi r)/(v) = (2pi)/(v) xx (mv)/(Bq)`
or `T = (2pi m)/(Bq)`
Hence, time period of rotation of the charged particle in unifrom magnetic field is independent of both `v` and `R`.