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If the densitu of two planets are same and their radii are in the ratio 1:2 then prove that acceleration due to gravity on both planet's ratio will be 1:2
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If the densitu of two planets are same and their radii are in the rati...
Acc to law of gravitation : mg1=GM1m/R1^2

g1= GM1 / R1^2

( considering that for the first planet variables are placed with 1 and for the second with 2 )

Similarly g2 = G M2/R2^2

As we know that M2 is twice of M1 and R2 is twice of R1

So g2= G2M1/(2R1)^2

g1/g2 = G M1/R1^2 X 4R1^2/G2M1

g1:g2 = 4:2 = 2:1
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If the densitu of two planets are same and their radii are in the ratio 1:2 then prove that acceleration due to gravity on both planet's ratio will be 1:2
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