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The diameters of iwo planets are in the ratio 4 1 and their mean densities in the ratio 1 : 2. The acceleratiodue to gravity on the planets will be in ratio(B) 2:3 |
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Answer» By using:g=GM/R²so g₁=GM₁/R₁(gravity of planet 1)g₂=GM₂/R₂(gravity of planet 2)also M₁/M₂=V₁d₁/v₂d₂AS v=4/3 π r³M₁/M₂=V₁d₁/v₂d₂= R₁³ d₁/R₂³d₂--------equ(1)Therefore,g₁/g₂=R₁d₁/R₂d₂=(4/1)x(1/2) =2:1∴The accelerations due to gravity on the planets are in the ratio of |
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