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

If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would

A

increase by `0.5%`

B

increase by `2%`

C

decrease by `0.5%`

D

decrease by `2%`

Text Solution

Verified by Experts

The correct Answer is:
B
`g = (GM)/(R^(2))`
`(Deltag)/(g) xx 100 = 2 ((DeltaR)/(R) xx 100) = 2 xx 1% = 2%`
Therefore, the value of g will increase by `2%`.
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