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MHT CET2011PhysicsGravitation

The mass of earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be

Options

  1. A0.2
  2. B2.57
  3. C4.81
  4. D0.39

Correct answer

C. 4.81

Step-by-step solution

Escape velocity, v_ e = 2 G M R v_ e v_ m = M_ e R_ m M_ m R_ e v_ e v_ m = 81 3.5 =4.81

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