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JEE Main2005PhysicsGravitationActual

The change in the value of g at a height ' h ' above the surface of the earth is the same as at a depth 'd' below the surface of earth. When both ' d ' and ' h ' are much smaller than the radius of earth, then which one of the following is correct?

Options

  1. Ad= h 2
  2. Bd = 3 ~h 2
  3. Cd =2 ~h
  4. Dd = ~h

Correct answer

C. d =2 ~h

Step-by-step solution

G M (R+h)^2 = G M R^3 (R-d) d=2 h

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