Imagine a new planet having the same density as that of earth but it is 3 times bigger than the size of the earth. If acceleration due to gravity on the surface of the earth is g and that on the surface of the new planet is g', then
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a
g'= g / a
b
g' =27 g
c
g'= 9 g
d
g' = 3g
answer is D.
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Detailed Solution
We know that,g=GMR2=G43πR3ρR2or g=43πGRρ or g∝R∴ g′g=R′R=3RR=3g′=3g