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BITSAT2014PhysicsMagnetic Effects of CurrentActual

A narrow beam of protons and deuterons, each having the same momentum, enters a region of uniform magnetic field directed perpendicular to their direction of momentum. The ratio of the radii of the circular paths described by them is

Options

  1. A1: 2
  2. B1: 1
  3. C2: 1
  4. D1: 3

Correct answer

B. 1: 1

Step-by-step solution

Since, the radius of circular path of a charged particle in magnetic field is r = mv qB = qB Now, the radius of circular path of charged particle of given momentum and magnetic field B is given by r 1 q But charge on both charged particles, protons and deuterons, is same. Therefore, r _ p r _ D = q _ D q _ = 1 l

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