Physics - Wave on String Question with Solution | TestHub

Given frequency $f=400$ Hz and velocity $v=336$ m/s.

The wavelength $\lambda$ is given by:

$\lambda =\frac{v}{f}=\frac{336}{400}=0.84$ m

The phase difference $\Delta \varphi$ is related to the path difference $\Delta x$ by the formula:

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

Given $\Delta \varphi =60^{\circ }=\frac{\pi }{3}$ radians, substituting the values:

$\frac{\pi }{3}=\frac{2\pi }{0.84}\Delta x$

$\Delta x=\frac{0.84}{6}=0.14$ m

Answer: 0.14 m