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MHT CET20244 May 2024Morning ShiftPhysicsGravitationActual

If ' R ' is the radius of earth & ' g ' is acceleration due to gravity on earth's surface, then mean density of earth is

Options

  1. A4 G 3 g R
  2. B3 R 4 g G
  3. C3 ~g 4 RG
  4. DRG 12 ~g

Correct answer

C. 3 ~g 4 RG

Step-by-step solution

Mass of the Earth is given by, M = V = 4 3 R ^3 ...(i) Acceleration due to gravity is given by, g = GM R ^2 ...(ii) Substituting equation (i) in equation (ii), g= G R^2 4 3 R^3 = 3 g 4 R G

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