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JEE Main202125 Feb 2021Morning ShiftPhysicsMagnetic Effects of CurrentActual

A proton, a deuteron and an α particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them ______ is and their speed is ______ in the ratio.

Options

  1. A2 : 1 : 1 and 4 : 2 : 1
  2. B1 : 2 : 4 and 2 : 1 : 1
  3. C4 : 2 : 1 and 2 : 1 : 1
  4. D1 : 2 : 4 and 1 : 1 : 2

Correct answer

A. 2 : 1 : 1 and 4 : 2 : 1

Step-by-step solution

F = q v → × B → = q m P → × B → ⇒ F ∝ q m thus, F 1 : F 2 : F 3 = q 1   m 1 : q 2   m 2 : q 3   m 3 = e m p : e 2 m p : 2 e 4 m p = 1 1 : 1 2 : 2 4 = 2 : 1 : 1 Now for speed calculation, P = constant ⇒ v ∝ 1   m thus v 1 : v 2 : v 3 = 1   m p : 1 2 m p : 1 4 m p = 1 1 : 1 2 : 1 4 = 4 : 2 : 1 .

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