A charged particle moves with constant speed v in a circular path of radius R under a uniform magnetic field. The period of rotation does not depend on which quantities?
Options

Question

A charged particle moves with constant speed v in a circular path of radius R under a uniform magnetic field. The period of rotation does not depend on which quantities?

G1 Physics · Accepted Answer

Step 1: Magnetic force supplies centripetal force: |q|vB=mv²/R. Step 2: Hence R=mv/(|q|B). Period T=2πR/v. Step 3: Substituting R gives T=2πm/(|q|B), which is independent of both v and R. Answer C. Final answer: (C) is independent of both v and R y.