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Question

If the Earth were compressed in such a way that its mass remained the same, but the distance around the equator were just one-half what it is now, what would be the acceleration due to gravity at the surface of the Earth?

A
g/4
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B
g/2
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C
g
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D
2g
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E
4g
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Solution

The correct option is D 4g
Acceleration due to gravity g=GMR2 where R is the distance of equator from the centre
New distance of equator from the centre R=R2

Thus new acceleration due to gravity g=GM(R/2)2=4g

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