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JEE Main202127 Aug 2021Morning ShiftPhysicsMagnetic Effects of CurrentActual

Two ions of masses 4 amu and 16 amu have charges + 2 e and + 3 e respectively. These ions pass through the region of the constant perpendicular magnetic field. The kinetic energy of both ions is the same. Then:

Options

  1. Alighter ion will be deflected less than heavier ion
  2. Blighter ion will be deflected more than heavier ion
  3. Cboth ions will be deflected equally
  4. Dno ion will be deflected

Correct answer

B. lighter ion will be deflected more than heavier ion

Step-by-step solution

The relation between linear moment and radius in terms of the magnitude of magnetic field and charge of a particle, r = P q B = 2 m k e q B ⇒ r ∝ m q ⇒ r 1 r 2 = 3 4 ⇒ r 2 > r 1 .

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