Q. Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion
A) depends on both R and v
B) is independent of both R and v
C) depends on R and not on v
D) depends on v and not on R
Explanation
[Solution from source] T = 2πR/v = 2πm/(qB); a larger speed gives a proportionally larger radius, so the period depends on neither R nor v. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.