The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below. The correct figure is.
Text Solution
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The acceleration due to gravity at a depth d below surface of earth is
g' = 
g' = 0 at d = R
i.e., acceleration due to gravity is zero at the center of earth.
Thus, the variation in value g with r is
for, r > R,
⇒ g' ∝ 
Here, R + h = r
For r < R, g' = g 
Here, R – d = r ⇒ g' ∝ r
Therefore, the variation of g with distance from center of the earth will be as shown in the figure.
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