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The earth is an approximate sphere . If ...

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

Text Solution

Verified by Experts

The correct Answer is:
D

If we assume the earth as a sphere of uniform density, then it can be treated as point mass placed at its centre. In this case acceleration due to gravity `g = 0`, at the centre.
If is not so, if the earth is considered as a sphere of non-uniform density, in that case value of `g` will be different at different points and cannot be zero at any point
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