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Moving Charges And Magnetism

Question
CBSEENPH12039703

A charged particle of mass m and charge q travels on a circular path of radius r that is perpendicular to a magnetic field B. The time taken by the particle to complete one revolution is

  • fraction numerator 2 πmq over denominator straight B end fraction
  • fraction numerator 2 πq squared straight B over denominator straight m end fraction
  • fraction numerator 2 πqB over denominator straight m end fraction
  • fraction numerator 2 πm over denominator qB end fraction

Solution

D.

fraction numerator 2 πm over denominator qB end fraction mω squared straight r space equals Bqωr
straight omega space equals space Bq divided by straight m
straight T space equals fraction numerator 2 πm over denominator qB end fraction