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JIPMER2013PhysicsGravitation

The escape velocity for the earth is 11.2 ~km / s . The mass of another planet 100 times mass of earth and its radius is 4 times radius of the earth. The escape velocity for the planet is

Options

  1. A280 ~km / s
  2. B56 ~km / s
  3. C112 ~km / s
  4. D28 ~km / s

Correct answer

B. 56 ~km / s

Step-by-step solution

The escape velocity of the the planet aligned v_ escape & = 2 G m R M R v_p v_e & = M_p R_p R_e M_e v_p v_e & = 100 1 4 =5 v_p & =5 11.2=56 ~km / s aligned

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