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Under the influence of a uniform magnetic field, a charged particle moves with constant speed in a circle of radius . The time period of rotation of the particle:

  1. A
    depends on and not on
  2. B
    is independent of both and
  3. C
    depends on both and
  4. D
    depends on and not on

Solution & Step-by-step Explanation

For a charged particle moving in a magnetic field:Centripetal force = Magnetic force

The time period is:

Substituting :

Notice that does not contain or . Therefore, it is independent of both.

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Under the influence of a uniform magnetic field, a charged particle moves with constant speed in a circle of radius . The time period of rotation of the particle:
A
depends on and not on
B
is independent of both and
C
depends on both and
D
depends on and not on

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ElectromagnetismMagnetic FieldTime Period

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