Two planets A and B have the same average density. Their radii R A and R B are such that R A : R B = 3 : 1 . If g A and g B are the acceleration due to gravity at the surfaces of the planets, the g A : g B equals

Question

Two planets A and B have the same average density. Their radii R A and R B are such that R A : R B = 3 : 1 . If g A and g B are the acceleration due to gravity at the surfaces of the planets, the g A : g B equals, 3 : 1, 1 : 3, 1 : 9, 3 : 1

MARKS App · Accepted Answer

Given, R A R B = 3 1 .....(i) and ρ A = ρ B ....(ii) ∵ Average density, ρ = 3 g 4 π R G ∴ From Equation (ii), ⇒ 3 g A 4 π R A G = 3 g B 4 π R B G ⇒ g A g B = R A R B From Equation (i), g A g B = 3 1

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