Physics - Wave on String Question with Solution | TestHub

Given, $y=12\sin (5t-4x)$ $\therefore y=12\sin 2\pi \left(\frac{5t}{2\pi }-\frac{4x}{2\pi }\right)$ Comparing above eq. with, $\mathrm{y}=\mathrm{A}\sin 2\pi \left(\frac{\mathrm{x}}{\lambda }-\frac{\mathrm{t}}{\mathrm{T}}\right)$ We get, $\lambda =\frac{2\pi }{4}$ Relation between phase difference and path difference is $\begin{array}{rl}\Delta \varphi & =\frac{2\pi }{\lambda }\Delta \mathrm{x}\\ \therefore \frac{\pi }{2}& =\frac{2\pi }{\left(\frac{2\pi }{4}\right)}\Delta \mathrm{x}\\ \therefore \Delta \mathrm{x}& =\frac{\pi }{8}\end{array}$