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An electron moves in a circular orbit wi...

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 proportionate to

A

`sqrt((v)/(B))`

B

`(v)/(B)`

C

`(B)/(v)`

D

`sqrt((B)/(v))`

Text Solution

Verified by Experts

The correct Answer is:
A
`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))`
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