Physics - Wave on String Question with Solution | TestHub

Given, $y=A\sin (100\pi t-3x)$ The general equation, $$\begin{array}{rlrl}& & y& =A\sin (\omega t-kx)\\ \therefore & & k& =3\end{array}$$ and $$k=\frac{2\pi }{\lambda }$$ or $$\begin{array}{l}\lambda =\frac{2\pi }{k}\\ \lambda =\frac{2\pi }{3}\end{array}$$ Phase difference, $\varphi =\frac{\pi }{3}$ $$\frac{2\pi }{\lambda }\cdot x=\frac{\pi }{3}$$ or$$\begin{array}{l}x-\frac{\pi }{3}\times \frac{\lambda }{2\pi }\\ x=\frac{\pi }{3}\times \frac{2\pi }{3\times 2\pi }\end{array}$$ Distance, $x=\frac{\pi }{9}\mathrm{m}$