A) \[{{10}^{-3}}\]sec and 330 m/sec
B) \[{{10}^{-4}}\]sec and 20 m/sec
C) \[{{10}^{-3}}\]sec and 200 m/sec
D) \[{{10}^{-2}}\]sec and 2000 m/sec
Correct Answer: C
Solution :
Comparing with \[y=a\sin (\omega t-kx)\]Þ\[a=\frac{10}{\pi },\omega =200\,\pi \] \[\therefore \] \[{{v}_{\max }}=a\omega =\frac{10}{\pi }\times 2000\,\pi =200m/\sec \] and \[\omega =\frac{2\pi }{T}\Rightarrow 200\,\pi =\frac{2\pi }{T}\]Þ \[T={{10}^{-3}}\]sec
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