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JEE Main202125 Feb 2021Morning ShiftPhysicsGravitationActual

Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respectively. If T A and T B are the time periods of A and B respectively then the value of T B - T A : [ Given : radius of earth = 6400 km , mass of earth = 6 × 10 24 kg ]

Options

  1. A4 . 24 × 10 3   s
  2. B3 . 33 × 10 2   s
  3. C1 . 33 × 10 3   s
  4. D4 . 24 × 10 2   s

Correct answer

C. 1 . 33 × 10 3   s

Step-by-step solution

⇒ T = 2 π r 3 G M ⇒ T A = 2 π 6400 + 600 × 10 3 G M ⇒ T B = 2 π × 10 9 8 3 G M ⇒ T B - T A = 2 π 10 9 G M 8 8 - 7 7 = 314 × 4 . 107 = 1289 . 64 = 1 . 289 × 10 3   s

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