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JEE Main20236 Apr 2023Morning ShiftPhysicsGravitationActual

A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing W on earth will weigh on that planet:

Options

  1. A2 1 4 W
  2. B2 1 3 W
  3. C2 W
  4. D2 2 3 W

Correct answer

B. 2 1 3 W

Step-by-step solution

The formula for acceleration due to gravity is g = G M R 2 Let the density of earth and planet be ρ , and the radius of the planet be R ' . Let R be the radius of the earth and g be the acceleration due to gravity of earth and g ' be the acceleration due to gravity of planet. So, the masses are M = 4 3 π R 3 ρ       . . . ( i ) M ' = 4 3 π R ' 3 ρ       . . . ( i i ) So, g ' g = G M ' R ' 2 G M R 2 = M ' M R R ' 2   &#16

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