Q. Identify the correct statement from the following
A) Cyclotron frequency is dependent on speed of the charged particle
B) Kinetic energy of charged particle in cyclotron does not dependent on its mass
C) Cyclotron frequency does not depend on speed of charged particle
D) Kinetic energy of charged particle in cyclotron is independent of its charge
Explanation
(c) Cyclotron frequency
$n = \frac{1}{T} = \frac{v}{2\pi r}$
or $n = \frac{v}{2\pi}\left( \frac{Bq}{mv} \right)$ $\left( \because r = \frac{mv}{Bq} \right)$
or $n = \frac{Bq}{2\pi m}$
Thus, cyclotron frequency does not depend upon the speed of the charged particle.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.