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  4. A charged particle is moving in a cyclotron, what effect on the radius of path of this charged particle will occur when the frequency of the radio frequency field is doubled?

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Q. A charged particle is moving in a cyclotron, what effect on the radius of path of this charged particle will occur when the frequency of the radio frequency field is doubled?

Moving Charges and Magnetism

Solution:

As frequency of revolution in a cyclotron
$\upsilon_{C}=\frac{Bq}{2\, \pi m}$ is independent of $r$
So the radius of path in the dees will remain unchanged When the frequency is changed