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GUJCET · Physics · Moving Charges and Magnetism

An \(\alpha\)-particle of mass \(m\) moves on a circular path of radius \(r\) in a plane inside and normal to uniform magnetic field. The time taken by this particle to complete one revolution is ________.

  1. A \(\frac{4 \pi m e}{B}\)
  2. B \(\frac{8 \pi e^2 B}{m}\)
  3. C \(\frac{4 \pi e B}{m}\)
  4. D \(\frac{\pi m}{B e}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\pi m}{B e}\)

Step-by-step Solution

Detailed explanation

\(qvB = \frac{mv^2}{r}\) \(v = \frac{qBr}{m}\)