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JEE Main202125 Jul 2021Evening ShiftPhysicsMagnetic Effects of CurrentActual

Two ions having same mass have charges in the ratio 1 : 2 . They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3 . The ratio of the radii of their circular trajectories is,

Options

  1. A1 :   4
  2. B4   :   3
  3. C3   :   1
  4. D2   :   3

Correct answer

B. 4   :   3

Step-by-step solution

R = m v q B ⇒ R 1 R 2 = m v 1 q 1   B m v 2 q 2   B = v 1 q 1 × q 2 v 2 = q 2 q 1 × v 1 v 2 = 2 1 × 2 3 = 4 3

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