Physics - Wave on String Question with Solution | TestHub

Equation of the given harmonic progressive wave $y=A\sin (100\pi t+3)$ General equation of a harmonic wave $\mathrm{y}=\mathrm{A}\sin (\mathrm{wt}+\mathrm{kx})$ From equations (i) and (ii), $\omega =100\pi ,\mathrm{k}=3$ But, $\mathrm{k}=\frac{2\pi }{\lambda }\Rightarrow 3=\frac{2\pi }{\lambda }$ $\therefore \lambda =\frac{2\pi }{3}$ We also know, Path difference $\Delta \mathrm{x}=\frac{\lambda }{2\pi }\times$ Phase difference $\Delta \varphi$ $\therefore \Delta x=\frac{2\pi }{3\times 2\pi }\times \frac{\pi }{3}\dots .($ Given $\Delta \varphi =\frac{\pi }{3})$ $=\frac{\pi }{9}\mathrm{m}$