There are two planets and the ratio of radius of the two planets is k but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocities ?A. `(Kg)^(1//2)`B. `(Kg)^(-1//2)`C. `(Kg)^(2)`D. `(Kg)^(-2)`

There are two planets and the ratio of radius of the two planets is k

1.	There are two planets and the ratio of radius of the two planets is k but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocities ?A. `(Kg)^(1//2)`B. `(Kg)^(-1//2)`C. `(Kg)^(2)`D. `(Kg)^(-2)`
Answer» Correct Answer - A Escape velocity, `v_(e)=sqrt(2gR)` where, g is acceleration due to gravity and R is radius Given, `(R_(1))/(R_(2))=K,(g_(1))/(g_(2))=g` `rArr (v_(1))/(v_(2))=(sqrt(g_(1)R_(1)))/(sqrt(g_(2)R_(2)))=sqrt(Kg)rArr(v_(1))/(v_(2))=(Kg)^(1//2)`.

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