The radii of two planets are R 1 and R 2 and their densities are ρ 1 and ρ 2 respectively. If g 1 and g 2 represent the acceleration due to gravity at their respective surfaces, then g 1 g 2 is

Question

The radii of two planets are R 1 and R 2 and their densities are ρ 1 and ρ 2 respectively. If g 1 and g 2 represent the acceleration due to gravity at their respective surfaces, then g 1 g 2 is, ρ 1 R 2 2 ρ 2 R 1 2, ρ 1 R 1 2 ρ 2 R 2 2, ρ 2 R 1 ρ 1 R 2, ρ 1 R 1 ρ 2 R 2

MARKS App · Accepted Answer

The value of g at surface g = Gm e R e 2 = G R e 2 . 4π 3 R e 3 ρ g = 4 3 π G R ρ So, g 1 g 2 = 4 3 π G R 1 ρ 1 4 3 π G R 2 ρ 2 ⇒ g 1 g 2 = R 1 ρ 1 R 2 ρ 2

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