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Question: A charged particle of mass m and charge q describes circular motion of radius r in a uniform magneti...

A charged particle of mass m and charge q describes circular motion of radius r in a uniform magnetic field of strength B. The frequency of revolution is

A

Bq2πm\frac { B q } { 2 \pi m }

B

Bq2πrm\frac { B q } { 2 \pi r m }

C

2πmBq\frac { 2 \pi m } { B q }

D

Bm2πq\frac { B m } { 2 \pi q }

Answer

Bq2πm\frac { B q } { 2 \pi m }

Explanation

Solution

Time period is given by T=2πmqBT = \frac { 2 \pi m } { q B }

⇒ Frequency v=1T=qB2πmv = \frac { 1 } { T } = \frac { q B } { 2 \pi m }