Which graph correctly presents the variation of acceleration due to gravity with the distance form the centre of the earth?

Options

A.
B.
C.
D.

Answer

C

Explanation

`g_(d)=g(1-d/g)`
or `g_(d)=g(R-d)/R`
or `g_(d)=(gy)/R or g_(d) propy`
So, within the Earth, the acceleration due to gravity varies linearly, with the distance form the centre of the earth. This explains the linear portion OA of the graphs.