The radii of two planets are respectively R1 and R2 and their densities are respectively ρ1 and ρ2. The ratio of the accelerations due to gravity at their surfaces is

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g1:g2=ρ1R12:ρ2R22

g1:g2=R1R2:ρ1ρ2

g1:g2=R1ρ2:R2ρ1

g1:g2=R1ρ1:R2ρ2

answer is D.

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Detailed Solution

Acceleration due to gravity g=43πρGR∴ g1:g2=R1ρ1:R2ρ2

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