In the figure shown, a particle `P` strikes the inclined smooth plane horizontally and rebounds vertically. If the angle `theta` is `60^(@)` then the coefficient of restitution is:

Options

A. `(1)/(sqrt3)`
B. `(2)/(sqrt3)`
C. `(1)/(3)`
D. None of these

Answer

C

Explanation

Aong tangent
`u cos theta = v sin theta` …(i)

Along normal
`e = (v cos theta)/(u sin theta) = cot^(2) theta = cot^(2) 60 = (1)/(3)`