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Q.

Two planets have radii R1 and R2 and densities d1 and d2 respectively. The ratio of the acceleration due to gravity on them will be :

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a

R1d2: R2d1

b

R1d1: R2d2

c

R12d1:R22d2

d

R1d12:R2d22

answer is B.

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Detailed Solution

g=GMR2=Gd43πR3R2=4πGdR3 ⇒g1g2=d1R1d2R2
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Two planets have radii R1 and R2 and densities d1 and d2 respectively. The ratio of the acceleration due to gravity on them will be :