Physics - Wave on String Question with Solution | TestHub

Comparing the given equation $y=A\sin (120\pi t+3x)$ with the standard wave equation $y=A\sin (\omega t+kx)$, we get $k=3$.

The relation between phase difference $\Delta \varphi$ and path difference $\Delta x$ is given by $\Delta \varphi =k\Delta x$.

Substituting the given values:

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

$\Delta x=\frac{\pi }{9}$ m.

Answer: $\frac{\pi }{9}$ m