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BITSAT2015PhysicsMagnetic Effects of CurrentActual

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R ₁ and R ₂ , respectively. The ratio of masses of X and Y is

Options

  1. A( R ₁ / R ₂ )^ 1 / 2
  2. B( R ₂ / R ₁ )
  3. C( R ₁ / R ₂ )²
  4. D( R ₁ / R ₂ )

Correct answer

C. ( R ₁ / R ₂ )²

Step-by-step solution

When a charge particle is allowed to move in a uniform magnetic field, then it describes spiral or circular path array l Centripetal force, mv ² R = qvB v = ( qB m R ) Hence, 2 q V m = ( qB m ) R [ V = 2 qV m ] R = ( 2 mV q )^ 1 / 2 1 ~B or, m R ² array [ V , q and B are constant ] or, m ₁ ~m ₂ = ( R ₁ R ₂ )²

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