The cyclotron frequency of an electron projected with velocity perpendicular to a magnetic field B is given by:

Correct answer: C. f= eB/2πm

  • A. f= mB/πC
  • B. f= 2πeB/m
  • C. f= eB/2πm
  • D. f= 2πc/mB

Explanation

For a cyclotron Centripetal force is provided by magnetic force.By derivation, A, B & C are wrong.

This question appeared on the ETEA MDCAT 2019 paper, which you can sit online with every answer explained.

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About Charged Particle in a Magnetic Field

A charged particle moving through a magnetic field experiences the Lorentz force, which is perpendicular to both its velocity and the field. The motion may be circular or helical, with questions involving radius, angular frequency, time period, and work done. A stationary charge feels no magnetic force.

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