A) \[2\pi \]
B) \[\frac{3}{2}\pi \]
C) \[3\pi \]
D) \[\frac{2}{3}\pi \]
Correct Answer: B
Solution :
We know that \[{{v}_{\max }}=a\omega \] and \[v=n\lambda \] \[\therefore \] \[\frac{{{v}_{\max }}}{v}=\frac{a\omega }{n\lambda }\] \[=\frac{a(2\pi n)}{n\pi }=\frac{2\pi a}{\lambda }\] \[=\frac{2\pi a}{2\pi /k}\] \[=ka=\frac{\pi }{2}\times 3\] \[=\frac{3\pi }{2}\]
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