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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 is proportional to

A

`(B)/(v)`

B

`(v)/( R)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Current in loop- `i= (ev)/(2pi r)`
Magnetic field due to circular current at the centre - `B = (mu_(0))/(4pi) * (2pi i)/(r ) = (mu_(0))/(4pi) * (ev)/(r^(2))`
`therefore r = sqrt((mu_(0))/(4pi) * (ev)/(B)) implies r prop sqrt((v)/(B))`
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