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JEE Main202125 Jul 2021Evening ShiftPhysicsGravitationActual

Consider a planet in some solar system that has a mass double the mass of earth and density equal to the average density of the earth. If the weight of an object on earth is W , the weight of the same object on that planet will be:

Options

  1. A2 W
  2. BW
  3. C2 1 3 W
  4. D2   W

Correct answer

C. 2 1 3 W

Step-by-step solution

Density is same M = 4 3 π R 3 ρ ,   2 m = 4 3 π R ' 3 ρ R ' = 2 1 3 R W = G M m R 2 W 2 = G 2 M m R ' 2 W 2 = 2 1 3 W

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