Physics - Wave on String Question with Solution | TestHub

$\begin{array}{rl}& \text{ Given: }y=6\sin \left(12\pi t-0.02\pi x+\frac{\pi }{3}\right)\\ & \omega t=12\pi t\\ & \Rightarrow \frac{2\pi }{T}=12\pi \end{array}$ $\begin{array}{rl}\therefore \mathrm{T}& =\frac{1}{6}\\ \Rightarrow \mathrm{n}& =6\end{array}$ Also given $\frac{2\pi }{\lambda }=0.02\pi$ $\therefore \lambda =\frac{2}{0.02}=100$ From equation: $\mathrm{v}=\mathrm{n}\lambda$, we get $\begin{array}{rl}\mathrm{v}& =6\times 100\\ & =600\mathrm{m}/\mathrm{s}\end{array}$