A) \[\text{64}\,\text{cm}{{\text{s}}^{\text{-1}}}\text{,}\] in-x direction
B) \[32\,\text{cm}{{\text{s}}^{\text{-1}}}\text{,}\] in-x direction
C) \[32\,\text{cm}{{\text{s}}^{\text{-1}}}\text{,}\] in +x direction
D) \[36\,\text{cm}{{\text{s}}^{\text{-1}}}\text{,}\] in +x direction
Correct Answer: D
Solution :
\[y=4\sin \left( 4\pi t-\frac{\pi x}{16} \right)\]where\[\omega =4\pi \]and\[k=\frac{2\pi }{\lambda }=\frac{\pi }{16}\]\[\Rightarrow \]\[v=\frac{\omega }{k}=64cm{{s}^{-1}},\]along + x direction.
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