The equation of a plane progressive wave is given by $y = 5 \cos \pi (200t - \frac{x}{150})$ where $x$ and $y$ are in cm and $t$ is in second. The velocity of the wave is . . . . . . m/s.

The equation of a progressive wave is given by $y = a \sin \pi (40t - x)$,where $a$ and $x$ are in meters and $t$ is in seconds. The velocity of the wave is ..... $m/s$.

The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right. Which one of the following correctly shows the direction of the velocity of the points $1, 2$ and $3$ on the string?

$A$ plane progressive wave propagating along the positive $x$-axis is represented by:

What are called progressive waves? What is called a wave equation? Write the wave equation for a progressive harmonic transverse wave propagating and explain it by drawing graphs.

The equation of a progressive wave is $y = 0.02 \sin 2\pi \left[ \frac{t}{0.01} - \frac{x}{0.30} \right]$. Here $x$ and $y$ are in $m$ and $t$ is in $s$. The velocity of propagation of the wave is .... $ms^{-1}$.