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
Correct Answer: C
Solution :
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.
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