Q. 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:
A) depends on R and not on V
B) is independent of both V and R
C) depends on both V and R
D) depends on V and not on R
Explanation
[Solution from source] qVB = mV²/R gives R = mV/qB, and T = 2πR/V = 2πm/qB. Since R grows in proportion to V, T depends on neither speed nor radius. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.