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rajan jha Grade: 12
        

there are two planets.the ratio of radius of the two planets is k but ratio of acceleration due to gravity of both the planets is g.What will be the ratio of their escape velocity? 

6 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

let one planet be a & other b then


Ra/Rb = K    ........1  (given)


g(acc due to gravity)= GM/R2


ga/gb = (Ma/Mb)*(Rb/Ra)2 = 1         (given)


Ma/Mb = (Ra/Rb)2 = K2       ..............2              (from eq 1)


now escape velocity = (GM/R)1/2


 Va/Vb = [(Ma/Mb)(Rb/Ra)]1/2


         =[ k2(1/k)]1/2                    (from eq 1 & 2)


         =k1/2


thus the ratio of escape velocity is K1/2

6 years ago
vikas askiitian expert
510 Points
										

 approve my ans if u like

6 years ago
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