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AIIMS2010PhysicsMagnetic Effects of Current

Assertion : If a proton and an a-particle enter a uniform magnetic field perpendicularly with the same speed, the time period of revolution of aparticle is double that of proton. Reason : In a magnetic field, the period of revolution of a charged particle is directly proportional to the mass of the particle and is inversely proportional to charge of particle.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion
  3. CIf assertion is true but reason is false
  4. DIf both assertion and reason are false.

Correct answer

A. If both assertion and reason are true and reason is the correct explanation of assertion

Step-by-step solution

The period of a charged particle in a magnetic field is given by T= 2 m q B , i.e., T m q We know that, m_p=m, m_ =4 m, q_p=e, q_ =2 e T_p T_ = 1 2 or T_ =2 T_p

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