$A$ transverse wave is represented by the equation $y=2 \sin (30 t-40 x)$ where the measurements of distances are in meters,then the velocity of propagation is (in $ms^{-1}$)

The equation of a progressive wave is given by $y = 6 \cos(100t - 4x)$ where $y$ is in $\mu\text{m}$, $x$ is in metre and $t$ is in second. The ratio of the maximum particle velocity to the velocity of wave is

The distance between two consecutive points with phase difference of $45^{\circ}$ in a wave of frequency $300 \text{ Hz}$ is $4.0 \text{ m}$. The velocity of the travelling wave is (in $\text{km/s}$):

$A$ longitudinal wave is represented by $x = 10 \sin 2 \pi (nt - \frac{x}{\lambda}) \, cm$. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to .....................

Define wave speed.

The displacement $y$ of a wave travelling in the $x$-direction is given by $y = 10^{-4} \sin(600t - 2x + \frac{\pi}{3})$ metres,where $x$ is expressed in metres and $t$ in seconds. The speed of the wave motion,in $m \ s^{-1}$,is