Question

The acceleration due to earth's gravity on a point particle at a height h above the surface of th
earth is denoted by go(h) and at a depth d below the surface of the earth is denoted by gi(d).
Consider the earth to be a sphere of radius R with uniform mass density. Which of the followir
correctly represents the ratio gi(d)/g.(d)?
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Answer 1

Explanation:

The acceleration due to gravity at a point near the surface of the earth and at a height h from the surface is given to be equal to g=GMR2(1−2hR). ... In this case, it is given that acceleration due to gravity at depth d below the surface of earth is gd. Therefore, ⇒gd=GMR2(1−dR)