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MHT CET202121 Sep 2021Evening ShiftPhysicsGravitationActual

For a body of mas ' m ', the acceleration due to gravity at a distance ' R ' from the surface of the earth is ( g 4 ) . Its value at a distance ( R 2 ) from the surface of the earth is (R= radius of the earth, g = acceleration due to gravity)

Options

  1. A( g 8 )
  2. B( 9 ~g 4 )
  3. C( 4 ~g 9 )
  4. D( g 2 )

Correct answer

C. ( 4 ~g 9 )

Step-by-step solution

g = GM r ^2 where r is the center of the earth In the first case, r₁=R+R=2 R In the second case, r₂=R+ R 2 = 3 2 R aligned & g ₂ ~g ₁ = ( r ₁ r ₂ )^2= 16 9 & ~g ₂= 16 9 ~g ₁= 16 9 g 4 = 4 9 ~g aligned

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