The acceleration due to gravity at a height ( 1 / 20 ) t h of the radius of earth above the earth's…

The acceleration due to gravity at a height (1/20)th of the radius of earth above the earth's surface is 9 m s-2. Its value at an equal depth below the surface of earth is
  1. 9 m s2
  2. 9.25 m s2
  3. 9.5 m s2
  4. 9.8 m s2

Solution

The variation in acceleration due to gravity due to height above the earth surface is, g'=g1-2hR

Given that g'=9 m s-2  and h=120R therefore, 

9=g1-110g=10 m s-2

The variation in acceleration due to gravity due to height below the earth surface is g''=g1-hR Here h=R20 therefore, 

g''=101-120 =192=9.5 m s-2

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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