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

Options

A. `k_(1)k_(2)`
B. `sqrt(k_(1)k_(2))`
C. `sqrt((K_(1))/(k_(2)))`
D. `sqrt((K_(2))/(k_(1)))`

Answer

B

Explanation

`v_(e)=sqrt(2gR)`
`((v_(e))_(1))/((v_(e))_(2))=sqrt((g_(1)R_(1))/(g_(2)R_(2)))=sqrt(k_(1)k_(2))`