Question

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

• A. speed
• B. charge
• C. mass
• D. magnetic induction

Hint:

The time-period of a charged particle in a magnetic field is independent of its speed and depends only on mass, charge, and magnetic field strength.

Answer 1

The Correct Option is A

The time-period of a charged particle in a magnetic field is given by: \[ T = \frac{2\pi m}{qB} \] where: $m$ is the mass, $q$ is the charge, and $B$ is the magnetic field strength. Thus, the time-period is independent of the speed of the particle.