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Question

If the ratio of the masses of two planets is 8:3 and the ratio of their diameters is 2:3 , then what will be the ratio of their acceleration due to gravity?

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Solution

Given,

Raito of mass,M′′M=83

Radio of Diameter or radius, R′′R=23

Acceleration of gravity,

g=GMR2

Ratio of gravity, g′′g=M′′M(RR′′)2=83×(32)2=6

Hence, ratio of acceleration of gravity is 6


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