Question

The time period of revolution of a charged particle in a uniform magnetic field is:

Options

• \[T = \frac{2\pi m}{qB}\]

• \[T = \frac{qB}{2\pi m}\]

• \[T = \frac{2\pi qB}{m}\]

• \[T = \frac{m}{2\pi qB}\]

Answer 1

The time period is \[T = \frac{2\pi m}{qB} = \frac{1}{\nu}\], where the frequency is \[\nu = \frac{qB}{2\pi m}\]. Both T and ν are completely independent of the particle's speed and radius, which is the cyclotron principle.