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Questions  

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

a
increases by 1%
b
increases by 2%
c
decrease by 2%
d
decrease by 1%

detailed solution

Correct option is B

g=GMR2⇒g∝R−2⇒Δgg=−2ΔRR=−2(−1)=+2%

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The variation of acceleration due to gravity as one moves away from earth's centre is given by the graph 


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