A) \[24\,\,\pi \,cm\,{{s}^{-1}}\]
B) \[0.3\,\,\pi \,cm\,{{s}^{-1}}\]
C) \[450\,\,cm\,{{s}^{-1}}\]
D) \[150\,\,cm\,{{s}^{-1}}\]
E) \[75\,\,cm\,{{s}^{-1}}\]
Correct Answer: D
Solution :
Given equation \[Y=(0.75)\left\{ \cos \frac{2\pi }{5}\times \sin \,(60\pi )t \right\}\] Comparing this with standard equation \[y=a\cos \frac{2\pi }{\lambda }x\,\sin \frac{2\pi }{T}\times t\] We get \[\frac{2\pi }{5}=\frac{2\pi }{\lambda }\Rightarrow \lambda =5\] \[\because \] \[n=30\] and \[\frac{2\pi }{T}=60\,\pi \] \[24\,\pi =60\,\pi \] \[\Rightarrow \] \[V=x\lambda =30\times 5=150\,cm\,{{s}^{-1}}\]
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