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If radii of two planets be R1 and R2 and their mean densities be ρ1 and ρ2, then prove that the ratio of gravitation accelerations on the planets will be R1ρ1 : R2ρ2.

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If radii of two planets be R1 and R2 and their mean densities be ρ1 and ρ2,

\(\therefore\) \(g_1:g_2=R_1\rho_1: R_2\rho_2\)

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