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JEE Main202225 Jul 2022Evening ShiftPhysicsGravitationActual

An object is taken to a height above the surface of earth at a distance 5 4 R from the centre of the earth. Where radius of earth, R = 6400 km . The percentage decrease in the weight of the object will be

Options

  1. A36 %
  2. B50 %
  3. C64 %
  4. D25 %

Correct answer

A. 36 %

Step-by-step solution

Acceleration due to gravity at height h is given by, g ' = g 1 + h R 2 For distance from the centre r = 5 4 R height h = R 4 , ⇒ g ' = g 1 + 1 4 2 = 16 25 g Change in weight ∆ W = m g - m g ' ⇒ ∆ W = m g 1 - 16 25 ⇒ ∆ W = 9 25 m g Percentage change = 9 25 × 100 % = 36 %

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