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Physics XI Notes for Physics Notes

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Variation Of ‘g’ Due To Depth

Let us consider the earth to be spherical mass of ‘M’ and radius ‘R’. A body of mass ‘m’ is placed initially on the surface and finally taken x distance deep into the earth.
We know acceleration due to gravity on the surface of earth is

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This expression shows that acceleration due to gravity decreases as we go deep into the earth.
At the centre of earth x=R, so g’=0. Hence, the acceleration due to gravity at the centre of earth is zero (0).

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