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AP EAMCET202119 Aug 2021Evening ShiftPhysicsGravitationActual

The distance through which one has to dig the earth from its surface so as to reach the point where the acceleration due to gravity is reduced by 40 % of that at the surface of the earth, is (radius of earth is 6400 km )

Options

  1. A2560 km
  2. B3000 km
  3. C3260 km
  4. D1560 km

Correct answer

A. 2560 km

Step-by-step solution

Acceleration due to gravity, g d = g 1 - d R ⇒ g d g = 1 - d R ⇒ 1 - 40 100 = 1 - d R ⇒ d R = 40 100 ⇒ d = R 40 100 = 2560   km

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