Question

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 :

Answer 1

Correct option is 

The acceleration due to gravity at a depth d below surface of earth is

i.e., acceleration due to gravity is zero at the centre of earth.

Thus the variation in value g with r is

Here, R - d = r ⇒ g' \(\propto\) r

Therefore, the variation of g with distance from centre of the earth will be as shown in the figure: