Two planets A and B of radii R and 1 . 5 R have densities ρ and ρ 2 respectively. The ratio of acceleration due to gravity at the surface of B to A is:

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The acceleration due to gravity is g = G M R 2 = 4 π G R ρ 3 ⇒ g ∝ ρ · R Thus, the ratio is ⇒ g B g A = 1 . 5 R ρ 2 ρ R = 1 2 × 1 . 5 = 0 . 75 ⇒ g B g A = 3 4

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