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Question: Answered & Verified by Expert
A particle of mass $m$ and charge $q$ is moving in a cyclotron with magnetic field $B$. The frequency of the circular motion of the particle is proportional to
PhysicsMagnetic Effects of CurrentTS EAMCETTS EAMCET 2020 (09 Sep Shift 2)
Options:
  • A $\frac{q B}{m}$
  • B $\frac{2 m}{q B}$
  • C $\frac{m B}{q}$
  • D $\frac{m q}{B}$
Solution:
2285 Upvotes Verified Answer
The correct answer is: $\frac{q B}{m}$
Frequency of rotation of a charged particle in
a cyclotron is
$f=\frac{B q}{2 \pi m} \Rightarrow f \propto \frac{B q}{m}$

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