If the radii of circular path of two particles are in the ratio of `1 :2`, then in order to have same centripatal acceleration, their speeds should be in the ratio of :

Options

A. `1:4`
B. `4:1`
C. `1:sqrt(2)`
D. `sqrt(2):1`

Answer

C

Explanation

Centripetal acceleration `=v^(2)/R`
`v_(1)^(2)/R_(1)=v_(2)^(2)/R_(2)=v_(1)/v_(2)=sqrt(R_(1)/R_(2))=sqrt(1/2)`