Question

A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical by . The thread with the ball is displaced by a small angle away from the vertical and also away from the wall. If the ball is released, the period of oscillation of the pendulum when will be 

A

B

C

D

Hard
AIIMS

Solution

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Correct option is
A

The motion of the string can be represented as an angular displacement from the mean position,given as: 
Time taken from displacement from mean position to and back to mean position=
where is the time period of the oscillation without the wall barrier.
Thus
Time taken to displace from mean position to can be found by: 
Thus time taken to displace from mean position to and back to mean position =
Thus the time period of the oscillation =

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