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Q.

If the radius of the earth shrinks by 1.5% (mass remaining same), then the value of acceleration due to gravity changes by

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a

1%

b

2%

c

3%

d

4%

answer is C.

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Detailed Solution

g∝1R2Percentage change in g = 2(percentage change in R)    =2×1.5=3%
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If the radius of the earth shrinks by 1.5% (mass remaining same), then the value of acceleration due to gravity changes by