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JEE Main202224 Jun 2022Evening ShiftPhysicsMagnetic Effects of CurrentActual

A proton, a deuteron and an α -particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :

Options

  1. A1   :   2   :   2
  2. B1 : 2 : 1
  3. C2   : 1   : 1
  4. DNone of these

Correct answer

B. 1 : 2 : 1

Step-by-step solution

Radius of circular path in magnetic field is given by R = m v q B = m 2 KE q B m ∝ m q R P : R D : R α = 1 1 : 2 1 : 4 2 = 1 : 2 : 1

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