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BITSAT2012PhysicsGravitationActual

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of g on the earth's surface would

Options

  1. Aincrease by 0.5 %
  2. Bincrease by 2 %
  3. Cdecrease by 0.5 %
  4. Ddecrease by 2 %

Correct answer

B. increase by 2 %

Step-by-step solution

g = GM R ² dg g =-2 dR R dR R =-1 % dg g =2 %

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