A) T / 6
B) T / 4
C) T / 3
D) T / 2
Correct Answer: A
Solution :
It is required to calculate the time from extreme position. Hence, in this case equation for displacement of particle can be written as \[x=a\sin (\omega \,t+\frac{\pi }{2})=a\cos \omega \,t\] Þ \[\frac{a}{2}=a\cos \omega \,t\] Þ \[\omega \,t=\frac{\pi }{3}\] Þ \[\frac{2\pi }{T}.t=\frac{\pi }{3}\]Þ \[t=\frac{T}{6}\]
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