Q150 / 160 · TS EAMCET 2020 (09 Sep Shift 2) · Physics

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

  • Correct answer
    A
    $\frac{q B}{m}$
  • B
    $\frac{2 m}{q B}$
  • C
    $\frac{m B}{q}$
  • D
    $\frac{m q}{B}$

Solution

Frequency of rotation of a charged particle in a cyclotron is $f=\frac{B q}{2 \pi m} \Rightarrow f \propto \frac{B q}{m}$

Hence, the correct answer is option: 'A'.

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