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NEET2019PhysicsMagnetic Effects of CurrentActual

Ionized hydrogen atoms and α -particles with same momenta enters perpendicular to a constant magnetic field B . The ratio of their radii of their paths r H : r α will be

Options

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

Correct answer

A. 2 : 1

Step-by-step solution

The radius of a charge particle q moving in a magnetic field is given by, r = m v q B = p q B ; where m is mass, v is velocity and p is momentum of the charge particle. For constant momentum and magnetic field, r ∝ 1 q So, the ratio of the radii of Hydrogen ion to α -particle will be, r H r α = q α q H = 2 1 r H : r α = 2 : 1 .

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