A) T/6
B) T/4
C) T/3
D) T/2
Correct Answer: A
Solution :
[a] At extreme position \[y=A\,\sin (\omega t+\frac{\pi }{2})=A\cos \,\omega t\] Now \[y=A/2\,then\,A/2=A\,\cos \,\omega t\] \[\Rightarrow \,\,\omega t={{\cos }^{-1}}(1/2)\,\] \[\frac{2\pi }{T}t=\frac{\pi }{3}\Rightarrow t=T/6\]
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