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Questions  

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
Decrease by 2%
b
Remain unchanged
c
Increase by 2%
d
Increase by 1%

detailed solution

Correct option is C

g=GMR2. If mass remains constant then  g∝1R2% increase in g = 2(% decrease in R) =2 × 1% = 2%.

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