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Q.

The radii of two planets A and B are in ratio 2:3  .Their densities are 3p and 5p respectively. The ratio of the acceleration due to gravity on the surface of the respective planets is _______ 

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a

9:4

b

9:8

c

9:10

d

2:5

answer is D.

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Detailed Solution

Since  g=GMR2   

g=GR2×ρ×43πR3   

gρR   So,   g1g2=ρ1ρ2×R1R2   =35×23=25

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