Physics - Wave on String Question with Solution | TestHub

The wavelength of the transverse wave is given by $\lambda =\frac{v}{f}$.

Substituting the given values, $v=30\text{ m/s}$ and $f=250\text{ Hz}$:

$\lambda =\frac{30}{250}=\frac{3}{25}\text{ m}=0.12\text{ m}$

The phase difference $\Delta \varphi$ between two points separated by a distance $\Delta x$ is given by $\Delta \varphi =\frac{2\pi }{\lambda }\Delta x$.

Given $\Delta x=10\text{ cm}=0.1\text{ m}$, substituting the values:

$\Delta \varphi =\frac{2\pi }{0.12}\times 0.1=\frac{0.2\pi }{0.12}=\frac{20\pi }{12}=\frac{5\pi }{3}\text{ radian}$

Answer: $\left(\frac{5\pi }{3}\right)\text{ radian}$