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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a
g1:g2=ρ1R12:ρ2R22
b
g1:g2=R1R2:ρ1ρ2
c
g1:g2=R1ρ2:R2ρ1
d
g1:g2=R1ρ1:R2ρ2
answer is D.
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Detailed Solution
Acceleration due to gravity g=43πρGR∴ g1:g2=R1ρ1:R2ρ2
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