A) 400 unit
B) 350 unit
C) 209 unit
D) 200 unit
Correct Answer: D
Solution :
Key Idea: Standard equation of standing wave is \[y=a\sin (\omega t-kx)\] The given equation is \[y=0.3\,\sin (314t-1.57\,x)\] On comparing the two equations, we have \[\omega t=314\,t\] and \[kx=1.57\,x\] \[\Rightarrow \] \[\omega =314\] and \[k=1.57\] Hence, velocity of standing wave is \[v=\frac{\omega }{k}=\frac{314}{1.57}=200\,\text{unit}\text{.}\]
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