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JEE Main202429 Jan 2024Evening ShiftPhysicsMagnetic Effects of CurrentActual

Two particles X and Y having equal charges are being accelerated through the same potential difference. Thereafter, they enter normally in a region of uniform magnetic field and describes circular paths of radii R 1 and R 2 respectively. The mass ratio of X and Y is :

Options

  1. AR 2 R 1 2
  2. BR 1 R 2 2
  3. CR 1 R 2
  4. DR 2 R 1

Correct answer

B. R 1 R 2 2

Step-by-step solution

Energy gained due to potential difference by charged particle: K E = q V Relation between momentum & kinetic energy: p = 2 m K E Now, radius of the circular path under magnetic field will be given by, R = m v q B = p q B = 2 m ( K E ) q B = 2 m q V q B Therefore, R ∝ m ⇒ m ∝ R 2 ⇒ m 1 m 2 = R 1 R 2 2

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