Physics - Wave on String Question with Solution | TestHub

The given equation of a progressive wave is $y=3\sin \pi \left(\frac{t}{2}-\frac{x}{4}\right)=3\sin 2\pi \left(\frac{t}{4}-\frac{x}{8}\right)$ The standard equation of a progressive wave is $y=y_0\sin 2\pi \left(\frac{t}{T}-\frac{x}{\lambda }\right)$ Comparing these two equations, we get $T=4\mathrm{s},\lambda =8\mathrm{m}$ $\therefore$ Velocity of wave, $v=\frac{\lambda }{T}=\frac{8}{4}=2{\mathrm{ms}}^{-1}$ Distance travelled by wave in time $t$ is $s=vt$ or $s=2\times 5=10\mathrm{m}$