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

Answer

A

Explanation

`B=(mu_(0)I)/(2R)=(mu_(0))/(2R)((e)/(T))=(mu_(0))/(2R)((ev)/(2piR))`
`implies R^(2)=(mu_(0)ev)/(4piB)implies R prop sqrt((v)/(B))`