A disc of radius `R` and mass `M` is rolling horizontally without slipping with speed with speed `v`. It then moves up an incline as shown in figure. The maximum height upto which it can reach is.
.

Options

A. `v^2//g`
B. `v^2//2 g`
C. `v^2//3 g`
D. `3 v^2//4 g`

Answer

D

Explanation

(d) `(1)/(2) Mv^2 + (1)/(2) I omega^2 = Mgh`
`rArr (1)/(2) Mv^2 + (1)/(2)(1)/(2) MR^2 ((v)/(R ))^2 = Mgh rArr h = (3 v^2)/(4 g)`.