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A charged particle is projected in a plane perpendicular to uniform magnetic field. The areal velocity (area swept per unit time) of the particle is : This question has multiple correct options

  1. directly proportional to kinetic energy of particle
  2. directly proportional to momentum of the particle
  3. inversely proportional to magnetic field strength
  4. inversely proportional to charge on particle

Correct answer: directly proportional to momentum of the particle

Solution

Areal velocity is proportional to angular momentum, which is directly proportional to the particle's momentum in a magnetic field.

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