A circular disc first rolls without slpping and then slides without rolling down the same inclined plane. The ratio of velocities of the disc at the bottom of the plane in both the cases respectively is

Options

A. `2: sqrt3`
B. `sqrt3:2`
C. `sqrt2:sqrt3`
D. `3:2`

Answer

C

Explanation

`V_("rolling")=sqrt((4gh)/(3))`
`V_("sliding")=sqrt(2gh)`
`therefore V_(r ):V_(s)=sqrt(2):sqrt(3)`.