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JEE Main202324 Jan 2023Morning ShiftPhysicsGravitationActual

The weight of a body at the surface of earth is 18 N . The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth R e = 6400 km )

Options

  1. A9 . 8   N
  2. B4 . 9   N
  3. C19 . 6   N
  4. D8   N

Correct answer

D. 8   N

Step-by-step solution

As height of the object is considerable compared to the radius of the earth, therefore approximation formula can not be used. So weight at given height, F = m g ' = G M m R + R 2 2 = 4 9 G M m R 2 ⇒ m g ' = 4 9 ( m g ) = 4 9 × 18 = 8   N

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