NEET2009PhysicsMagnetic Effects of CurrentActual
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
Options
- Adepends on v and not on R
- Bdepends on both R and v
- Cis independent of both R and v
- Ddepends on R and not on v
Correct answer
C. is independent of both R and v
Step-by-step solution
When magnetic field is perpendicular to motion of charged particle, then Centripetal force = magnetic force ie, m v^2 R =B q v or R= m v B q Further, time period of the motion or T= 2 R v = 2 ( m v B q ) v or T= 2 m B q It is independent of both R and v .