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MHT CET202123 Sep 2021Evening ShiftPhysicsGravitationActual

The mass of a spherical planet is 4 times the mass of the earth, but its radius (R) is same as that of the earth. How much work is done in lifting a body of mass 5 ~kg through a distance of 2 ~m on the planet? ( g =10 ~ms ⁻² )

Options

  1. A400 ~J
  2. B200 ~J
  3. C800 ~J
  4. D300 ~J

Correct answer

A. 400 ~J

Step-by-step solution

aligned & g = GM R ^2 , ~g ^ = GM ^ R ^2 = G 4 M R ^2 =4 ~g & ~W = mg h =4 mgh =4 5 10 2=400 ~J aligned

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