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JEE Main202226 Jun 2022Morning ShiftPhysicsMagnetic Effects of CurrentActual

A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is

Options

  1. A4 : 1
  2. B2 : 1
  3. C1 : 2
  4. D1 : 4

Correct answer

B. 2 : 1

Step-by-step solution

Radius of circular path of charged particle q of mass m moving with velocity v in magnetic field B is given by r = m v q B r α r p = 4 m v 2 e B m v e B = 2 : 1

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