A) \[a=10,\,T=2\]
B) \[a=5,\,T=1\]
C) \[a=10,T=1\]
D) \[a=5,\,T=2\]
Correct Answer: D
Solution :
\[y=5\sin (\pi \,t+4\pi )\], comparing it with standard equation \[y=a\sin (\omega \,t+\varphi )=a\sin \left( \frac{2\,\pi \,t}{T}+\varphi \right)\] \[a=5\,m\] and \[\frac{2\,\pi \,t}{T}=\pi \,t\]Þ T = 2 sec.
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