Physics - Wave on String Question with Solution | TestHub

The relation between phase difference $\Delta \varphi$ and path difference $\Delta x$ is given by:

$\Delta \varphi =\frac{2\pi }{\lambda }\Delta x$

Given $\Delta \varphi =60^{\circ }=\frac{\pi }{3}$ and $\Delta x=6$ cm $=0.06$ m, substituting these values:

$\frac{\pi }{3}=\frac{2\pi }{\lambda }\times 0.06$

$\lambda =6\times 0.06=0.36$ m

The velocity of the wave is given by:

$v=f\lambda$

$v=500\times 0.36=180$ m/s

Answer: $180$