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NEET2017PhysicsGravitationActual

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then

Options

  1. Ad = 1 2 km
  2. Bd = 1 km
  3. Cd = 3 2 km
  4. Dd = 2 km

Correct answer

D. d = 2 km

Step-by-step solution

Acceleration due to gravity in both cases are Above   earth   surface g ′ = g 1 - 2 h R e Below   earth   surface g ′ = g 1 - d R e As per the problem, g ( 1 − 2 h R e ) = g ( 1 − d R e ) Simplifying the above relations, we get d = 2 h The depth is d = 2 × 1 km

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