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JEE Main202118 Mar 2021Morning ShiftPhysicsGravitationActual

The time period of a satellite in a circular orbit of the radius R is T . The period of another satellite in a circular orbit of the radius 9 R is:

Options

  1. A9 T
  2. B27 T
  3. C12 T
  4. D3 T

Correct answer

B. 27 T

Step-by-step solution

T 2 ∝ R 3 . T ' T 2 = 9 R R 3   T 2 = T 2 × 9 3   T ' = T × 3 3   T ' = 27   T

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