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?

Question

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? (A) It will also be doubled (B) It will be halved (C) It will be increased by four times (D) It will remain unchanged

Tardigrade Admin · Accepted Answer

As frequency of revolution in a cyclotron upsilonC=(Bq/2 π m) is independent of r So the radius of path in the dees will remain unchanged When the frequency is changed

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?

It will also be doubled

It will be halved

It will be increased by four times

It will remain unchanged

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

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?

It will also be doubled

It will be halved

It will be increased by four times

It will remain unchanged

As frequency of revolution in a cyclotron υC​=2πmBq​ is independent of r So the radius of path in the dees will remain unchanged When the frequency is changed

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