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JEE Main20238 Apr 2023Morning ShiftPhysicsGravitationActual

The weight of a body on the earth is 400 N . Then weight of the body when taken to a depth half of the radius of the earth will be:

Options

  1. A200   N
  2. BZero
  3. C100   N
  4. D300   N

Correct answer

A. 200   N

Step-by-step solution

The acceleration due to gravity changes with depth from the surface, which is given by g ' = g 1 - d R       . . . ( i ) The given data is W = 400   N d = R 2 Multiplying equation (i) with the mass we get the weight. m g ' = m g 1 - R 2 R = m g 1 2 ⇒ W ' = 400   N 2 = 200   N

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