A) \[y=0.5\sin 5\pi t\]
B) \[y=0.5\sin 4\pi t\]
C) \[y=0.5\sin 2.5\pi t\]
D) \[y=0.5\cos 5\pi t\]
Correct Answer: D
Solution :
\[y=a\sin (\omega \,t+\varphi )\] \[=a\sin \left( \frac{2\pi }{T}t+\varphi \right)\]Þ\[y=0.5\sin \,\left( \frac{2\pi }{0.4}t+\frac{\pi }{2} \right)\] \[y=0.5\sin \,\left( 5\pi \,t+\frac{\pi }{2} \right)\]\[=0.5\cos 5\pi t\]
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