The earth is an approximate sphere. If the interior contained matter which is not of the same density every where, then on the surface of the earth, the acceleration due to gravity

Options

A. will be directed towards the centre but not the same everywhere.
B. will have the same value everywhere but not directed towards the centre.
C. will be same everywhere in magnitude directed towards the centre.
D. cannot be zero at any point.

Answer

D

Explanation

If the density distribution of earth is non-uniform, then the centre of gravity will not be situated at the centre of the earth.
Since `g prop M` and `M prop` density and density is non-uniform, so g is different on different locations but cannot be zero.