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JEE Main202229 Jun 2022Evening ShiftPhysicsGravitationActual

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

Options

  1. A36   hours
  2. B40   hours
  3. C30   hours
  4. D25   hours

Correct answer

A. 36   hours

Step-by-step solution

From Kepler's Third Law(The Law of Periods), we know T 2 ∝ R 3   ⇒ T 2 2 T 1 2 = R 2 R 1 3 = 3 R R 3 Therefore, T 2 = 27 T 1 = 5 . 19 × 7 ≈ 36   hours

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