The time period of a charged particle undergoing a circular motion

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

  1. mass
  2. magnetic induction
  3. charge
  4. speed

Answer

In a circular motion under magnetic field, the centripetal force is provided by the magnetic force.

(mv2)/r = qvB

r = (mv)/(Bq)

T = (2Πr)/v

Putting r = (mv)/(Bq)

T = (2Πm)/(Bq)

Time period is independent of the velocity of charged particle.

The correct option is D.