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JEE Main202127 Jul 2021Evening ShiftPhysicsGravitationActual

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9 . 0 × 10 3 km . Find the mass of Mars. Given 4 π 2 G = 6 × 10 11 N - 1 m - 2 kg 2

Options

  1. A5 . 96 × 10 19   kg
  2. B3 . 25 × 10 21   kg
  3. C7 . 02 × 10 25   kg
  4. D6 . 00 × 10 23   kg

Correct answer

D. 6 . 00 × 10 23   kg

Step-by-step solution

Option D is correct. T 2 = 4 π 2 G M · r 3 M = 4 π 2 G · r 3   T 2 By putting values M = 6 × 10 23

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