A) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{4}\]
C) \[\frac{\pi }{6}\]
D) \[\frac{5\pi }{12}\]
Correct Answer: C
Solution :
The equation of motion is given as \[y=5\sin \frac{2\pi t}{6}\] Here, \[y=2.5\,cm\] \[\therefore \] \[2.5=5\sin \frac{2\pi r}{6}\] \[\Rightarrow \] \[\frac{\pi }{6}=\frac{2\pi t}{6}\]\[\Rightarrow \]\[t=\frac{1}{2}s\] \[\therefore \]The phase \[=\frac{2\pi t}{6}=\frac{2\pi }{6}\times \frac{1}{2}=\frac{\pi }{6}\]
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