A) 34 m/s
B) 40 m/s
C) 340 m/s
D) 400 m/s
Correct Answer: C
Solution :
Equation of wave is \[y=a\,\sin \left( 400\pi t-\frac{\pi x}{0.85} \right)\] Comparing this equation with \[\begin{align} & y=a\,\sin \left( \omega t-\frac{2\pi x}{\lambda } \right) \\ & \omega =400\pi \\ & 2\pi n=400\pi \Rightarrow n=200 \\ & \lambda =0.85\times 2=1.7 \\ \end{align}\] Velocity\[\upsilon =n\lambda =1.7\times 200=340\,m/s\]
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