A) \[3\times {{10}^{6}}m/s\]
B) \[3\times {{10}^{7}}m/s\]
C) \[3\times {{10}^{8}}m/s\]
D) \[9\times {{10}^{14}}m/s\]
Correct Answer: C
Solution :
Comparing the given equation of wave with\[y=a\sin \left( \frac{2\pi }{\lambda }x-\frac{2\pi }{T}t \right)\], we have \[\frac{2\pi }{\lambda }=\pi \times 3\times {{10}^{6}}\] or \[\lambda =\frac{2}{3\times {{10}^{6}}}m\] and \[\frac{2\lambda }{T}=\pi \times 9\times {{10}^{14}}\] or \[v=\frac{1}{T}=\frac{9}{2}\times {{10}^{14}}Hz\] \[\therefore \]Speed of wave, \[c=v\lambda =\frac{(9\times {{10}^{14}})}{2}\times \frac{2}{(3\times {{10}^{6}})}\] \[=3\times {{10}^{8}}m/s\]
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