Two solid discs of radii `r` and `2r` roll from the top of an inclined plane without slipping. Then

Options

A. The bigger disc will reach the horizontal level first
B. The smaller disc will reach the horizontal level first
C. The time difference of reaching of the discs at the horizontal level will depend on the inclination of the plane
D. Both the discs will reach at the same time

Answer

D

Explanation

`t=(1)/(sintheta)sqrt((2h)/(g)(1+(K^(2))/(R^(2))))`
`(K^(2))/(R^(2))` is same for both disc, hence both the disc will reach at the same time.