An electron moves in a circular orbit with a uniform speed `v`.It produces a magnetic field `B` at the centre of the circle. The radius of the circle is proportional to

Options

A. `(B)/(v)`
B. `(v)/(R )`
C. `sqrt((v)/(B))`
D. `sqrt((B)/(v))`

Answer

C

Explanation

Electric current corresponds to the revolution of electron is ` i=(ev)/(2pir)`Magnetic field due to circular current at the centre `B=(mu)/(4pi).(2pii)/(r)=mu_(o)/(4pi).(ev)/(r)implies`
` r=sqrt(mu_(0)/(4pi).(ev)/(B))impliesrpropsqrt((v)/(B))`