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NTA Abhyas JEE Main2020PhysicsGravitationPractice

A body weighs W at the surface of the earth. Its weight at a height equal to half the radius of the earth will be

Options

  1. AW 2
  2. B2 W 3
  3. C4 W 9
  4. D8 W 27

Correct answer

C. 4 W 9

Step-by-step solution

The weight of an object at the surface of the earth is W = m g = m G M R 2 At a height h = R 2 , the weight would be W ' = m G M R + h 2 = 4 9 × m G M R 2 ∴ W ' = 4 9 W

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