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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 ______.
Options
will be directed towards the centre but not the same everywhere.
will have the same value everywhere but not directed towards the centre.
will be same everywhere in magnitude directed towards the centre.
cannot be zero at any point.
Solution
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 cannot be zero at any point.
Explanation:
Because as we know that g = `4/3` πpGR, here if the density is non-uniform then g will be different on the surface at different points. So, in this equation, if we substitute any value of density, we will get g ≠ 0 at any point.
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