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The cyclotron frequency v(c) is given b...

The cyclotron frequency `v_(c)` is given by

A

`(qB)/(2pim)`

B

`(mB)/(2piq)`

C

`(2pim)/(qB)`

D

`(2piB)/(qm)`

Text Solution

Verified by Experts

The correct Answer is:
A
In cyclotron the centripetal force is balanced by magnetic force, then
`qvB=(mv^(2))/(r) rArr(qBr)/(m)=v`
where `v=2pir upsilon_(c)`
`(qBr)/(m)=2pi r upsilon_(c) therefore upsilon_(c)=(qB)/(2pim)`
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NCERT FINGERTIPS-MOVING CHARGES AND MAGNETISM -Motion In Combined Electric And Magnetic Fields
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