Question

The angular frequency of revolution of a charged particle in a magnetic field is given by:

Options

• \[\omega = \frac{m}{qB}\]

• \[\omega = \frac{qB}{m}\]

• \[\omega = \frac{qBm}{r}\]

• \[\omega = \frac{q}{Bm}\]

Answer 1

Since v = ωr, substituting into \[r = \frac{mv}{qB}\] gives \[\omega r = \frac{qBr}{m}\], which simplifies to \[\omega = \frac{qB}{m}\]. This angular frequency is completely independent of the particle's speed and radius.