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MHT CET202620 April 2026Morning ShiftPhysicsGravitationActual

The percentage decrease in the weight of a body when taken to a height of 48 km above the surface of the earth is (Radius of the earth is 6400 km)

Options

  1. A1 %
  2. B1.5 %
  3. C2 %
  4. D2.5 %

Correct answer

B. 1.5 %

Step-by-step solution

The acceleration due to gravity at a height h above the surface of the earth, where h R , is given by g' = g (1 - 2h R ) The fractional decrease in weight is W W = g - g' g = 2h R The percentage decrease in weight is W W 100 = 2h R 100 Substituting h = 48 km and R = 6400 km: Percentage decrease = 2 48 6400 100 Percentage decrease = 96 64 = 1.5 % Answer: 1.5 %

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