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A man goes to a height equal to the radius of the earth from its surface. The weight of the person at that height relative to his weight on the surface of earth is

Options

  1. A1 2
  2. B1 3
  3. C1 4
  4. D1 5

Correct answer

C. 1 4

Step-by-step solution

At the surface of the earth, the weight of the person. W = mg ⇒ mGM R 2 At a height h weight W ' = m g ' ⇒ m G M ( R + h ) 2 ∴ W ' W = R 2 ( R + h ) 2 When h = R , W ' W = R 2 ( 2 R ) 2 = 1 4

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