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If the radius of the earth were to shrin...

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the accleration due to gravity on the earth's surface would

A

decrease

B

remain unchanged

C

increase

D

be zero

Text Solution

Verified by Experts

The correct Answer is:
C
`g=(GM)/R^2, g' =(GM)/(0.99R)^2 " " therefore(g')/g =(R^2/(0.99R))^2 rArr` g' > g
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