The value of the acceleration due to gravity is g 1 at a height h = R 2 ( R = radius of the earth) from the surface of the earth. It is again equal to g 1 at a depth d below the surface the earth. The

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The value of the acceleration due to gravity is g 1 at a height h = R 2 ( R = radius of the earth) from the surface of the earth. It is again equal to g 1 at a depth d below the surface the earth. The ratio d R equals:

TestHub · Accepted Answer

Given that g n = g d G M ( R + h ) 2 = G M R 3 ( R - d ) G M ( R + R / 2 ) 2 = G M R 3 ( R - d ) 4 G M 9 R 2 = G M R 2 1 - d R 4 9 = 1 - d R d R = 1 - 4 9 = 5 9 d = 5 9 R

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