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Mass remaining constant, the radius of t...

Mass remaining constant, the radius of the earth shrinks by 1%. The acceleration due to gravity on the earth's surface would:

A

increase by 2%

B

increase by 1%

C

decrease `(1)/(2)%`

D

decrease by 1%

Text Solution

Verified by Experts

The correct Answer is:
A
`g=(GM)/(R^(2))`
`therefore (Deltag)/(g) xx 100=2 (DeltaR)/(R )xx100`
`=2xx1%=2%` .
So the correct choice is (a).
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