Question

The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity(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 1

answer : option (D) cannot be zero at any point.

explanation : if we assume that earth is a sphere of uniform density. then, it can be treated as point mass , which is placed at its centre. also in this case, acceleration due to gravity at centre of earth = 0

but when earth is considered as a sphere of non-uniform density. then, acceleration due to gravity will be different in different points. and it cannot be zero at any point.

hence, option (D) is correct.