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 surface is

Basic Maths and Units and DimensionsHard

Question

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 surface is

Options

A.g₁ : g₂ =

B.g₁ : g₂ = R₁R₂ : ρ₁ρ₂

C.g₁ : g₂ = R₁ρ₂ : ρ₁R₂

D.g₁ : g₂ = R₁ρ₁ : ρ₂R₂

Solution

G ∝ ρR

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