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MHT CET2008PhysicsMagnetic Effects of Current

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

  1. Adepends on v and not on R
  2. Bdepends on both R and v
  3. Cis independent of both R and v
  4. 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 v² R =B q v Or R= m v B q Further, time period of the motion or array l T= 2 R v = 2 ( m v B q ) v T= 2 m B q array It is independent of both R and v .

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