Physics - Wave on String Question with Solution | TestHub

Given frequency $f=50\text{ Hz}$

Time interval $\Delta t=0.01\text{ s}$

The phase of a progressive wave at a fixed position varies with time as $\varphi =\omega t-kx+{\varphi }_0$

The change in phase over a time interval $\Delta t$ is given by $\Delta \varphi =\omega \Delta t$

Since $\omega =2\pi f$, we have:

$\Delta \varphi =2\pi f\Delta t$

Substituting the given values:

$\Delta \varphi =2\pi \times 50\times 0.01$

$\Delta \varphi =100\pi \times 0.01=\pi \text{ rad}$

Answer: $\pi \text{rad}$