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If the radius of the Earth were to shri...

If the radius of the Earth were to shrink by one percent its mass remaining the same, the acceleration due to gravity on the Earth's surface would ________

A

increase by 2%

B

increase by 1%

C

decrease by 1%

D

decrease by 1/2%

Text Solution

Verified by Experts

The correct Answer is:
A

As `g=(GM)/(R^2)`
`therefore(Deltag)/(g)xx100=2(DeltaR)/(R)xx100=2xx1%=2%`
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