Q. In the cyclotron, as radius of the circular path of the charged particle increases ($omega$ = angular velocity, $v$ = linear velocity)

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In the cyclotron, as radius of the circular path of the charged particle increases ($omega$ = angular velocity, $v$ = linear velocity)

Solution:

In a cyclotron,

$R=frac{m v}{q B}$

$v=frac{q B R}{m} $ and $omega=frac{q B}{m}$

$ therefore R propto U$

$omega, q, m$ and $B$ are constant.