Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle
- depends on R and not on v
- is independent of both v and R
- depends on both v and R
- depends on v and not on R
Answer
(2) is independent of both v and R
Solution
Magnetic force provides the centripetal force: qvB = mv2R
R = mvqB
Time period T = 2 Rv = 2 qB
T is independent of both v and R.
Answer: (2)