Physics - Wave on String Question with Solution | TestHub

The given equation of the plane progressive wave is $Y=0.025\sin (100t+0.25x)$.

Comparing this with the standard wave equation $Y=A\sin (\omega t+kx)$, we get the angular frequency $\omega =100$ rad/s.

The relationship between angular frequency $\omega$ and frequency $f$ is given by $\omega =2\pi f$.

Substituting the value of $\omega$, we get $2\pi f=100$.

Solving for $f$, we obtain $f=\frac{100}{2\pi }=\frac{50}{\pi }$ Hz.

Answer: $\frac{50}{\pi }$ Hz