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Units And Measurement

Question
CBSEENPH11020718

Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

  • depends on v and not on R

  • depends on R and not on v

  • is independent of both v and R

  • depends on both v and R

Solution

C.

is independent of both v and R

The time period of circular motion of their charged particle is given by 

straight T space equals space fraction numerator 2 πr over denominator straight v end fraction space equals space fraction numerator 2 straight pi over denominator straight v end fraction space straight x mv over Bq

straight T space equals space fraction numerator 2 πm over denominator Bq end fraction
Hence, time period of rotation of the charged particle in uniform magnetic field is independent of both v and R.