A ball is suspended by a thread of length l at the point O on an incline wall as shown. The inclination of the wall with the vertical is α.The thread is displaced through a small angle β away from the vertical and the ball is released. Find the period of oscillation of pendulum.
Consider both cases
a. `alpha gt beta`
b. `alpha lt beta`
Assuming that any impact between the wall and the ball is elastic.

Options

A. `2pisqrt((L)/(g))`
B. `2pisqrt((L)/(g))[pi + 2 sin^(-1)(alpha/beta)]`
C. `2pisqrt((L)/(g))[pi/2 + sin^(-1)(alpha/beta)]`
D. None of the above

Answer

A

Explanation

As `beta lt alpha` so `T = 2pisqrt((L)/(g))`