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MHT CET2017PhysicsGravitation

The depth d at which the value of acceleration due to gravity becomes 1 n times the value at the earth's surface is ( R = radius of the earth )

Options

  1. Ad = R n n - 1
  2. Bd = R n - 1 2 n
  3. Cd = R n - 1 n
  4. Dd = R 2 n - 1 n

Correct answer

C. d = R n - 1 n

Step-by-step solution

At depth d we have g ′ = g 1 - d R g ′ = g n g n = g 1 - d R ∴ 1 n = 1 - d R ∴ d R = 1 - 1 n = n - 1 n d = R n - 1 n

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