A) \[\frac{1}{3}\]sec
B) \[\frac{1}{2}\]sec
C) \[\frac{2}{3}\] sec
D) \[\frac{1}{6}\] sec
Correct Answer: A
Solution :
Time period \[T=4\text{ }\sec \] From equation of SHM \[y=a\sin \frac{2\pi }{T}.t\] Here \[y=\frac{a}{2}\] \[\therefore \] \[\frac{a}{2}=a\sin \frac{2\pi t}{4}\] \[\frac{1}{2}=\sin \frac{\pi t}{2}\Rightarrow \sin \frac{\pi }{6}=\sin \frac{\pi t}{2}\] \[\therefore \] \[\frac{\pi }{6}=\frac{\pi t}{2}\Rightarrow \tau =\frac{1}{3}\sec \]You need to login to perform this action.
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