A ring takes time `t_(1)` in slipping down an inclined plane of length L, whereas it takes time `t_(2)` in rolling down the same plane. The ratio of `t_(1) and t_(2)` is -

Options

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

Answer

B

Explanation

`(t_(1))/(t_(2))=sqrt((a_(2))/(a_(1)))=sqrt((1)/(1+1))`