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GK QUESTION#3142

For a charged particle moving perpendicular to a uniform magnetic field, with charge magnitude and magnetic-field strength fixed, the radius of its circular path is directly proportional to which quantity?

  1. Aenergy of particle
  2. Bcharge of particle
  3. Cmomentum of particleCorrect answer
  4. Dstrength of the field
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Answer

C. momentum of particle

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Explanation

For motion perpendicular to a uniform magnetic field, r=p/(|q|B). With charge magnitude and field strength fixed, the orbit radius is proportional to momentum. For oblique motion, it is the perpendicular momentum that determines the helix radius.

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