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AP EAMCET202018 Sep 2020Morning ShiftPhysicsGravitationActual

At what height from surface of earth the value of acceleration due to gravity will fall to half that on the surface of the earth?

Options

  1. A(2625 ~m )
  2. B(2625 ~km )
  3. C(2526 ~m )
  4. D(2526 ~km )

Correct answer

B. (2625 ~km )

Step-by-step solution

If (g ) be the gravitational acceleration on the surface of earth, then gravitational acceleration at height (h ) given as ( aligned & g_h= g (1+ h R_e )^2 & But, g_h= g 2 & g 2 = g (1+ h R_e )^2 & (1+ h R_e )^2=2 & 1+ h R_e = 2 & h=( 2 -1) R_e & =(1.414-1) 6400 & =2649.6 ~km & 2625 ~km aligned )

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