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JEE Main202329 Jan 2023Evening ShiftPhysicsGravitationActual

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.

Options

  1. A4 hours
  2. B6 hours
  3. C12 hours
  4. D3 hours

Correct answer

D. 3 hours

Step-by-step solution

From Kepler's law of periods, we know T 2 ∝ R 3 ⇒ T 1 2 T 2 2 = R 1 3 R 2 3 ⇒ T 1 T 2 2 = R R 4 3 ⇒ T 1 2 T 2 2 = 64 ∴ T 2 = 24 8 = 3 hours

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