1.

The ratio of radii of planets A and B in K_(1) and ratio of accelerations due to gravity on them is K_(2). The ratio of escape velocities from them will be

Answer»

`K_(1)K_(2)`
`SQRT(K_(1)K_(2))`
`sqrt(K_(1)/(K_(2))`
`sqrt(K_(2)/(K_(1))`

Solution :ESCAPE velocity `V_(e )=sqrt(2Rg)`,
Given `R_(1)//R_(2)=K_(1),(g_(1))/(g_(2))=K_(2)`
`:. (v_(1))/(v_(2))=sqrt((2Rg_(1)g_(2))/(2R_(2)g_(2)))=sqrt((R_(1))/(R_(2)).(g_(1))/(g_(2)))=sqrt((K_(1)K_(2)))`


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