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TS EAMCET · Physics · Magnetic Effects of Current

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

  1. A \(\frac{q B}{m}\)
  2. B \(\frac{2 m}{q B}\)
  3. C \(\frac{m B}{q}\)
  4. D \(\frac{m q}{B}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{q B}{m}\)

Step-by-step Solution

Detailed explanation

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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