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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
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))`
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Knowledge Check

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