$A$ wave is represented by $x = 0.4 \cos \left(8t - \frac{y}{2}\right)$ where $x$ and $y$ are in meters and $t$ is in seconds. The speed of the wave is

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 ..... $m/s$.

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

Which of the following statements is incorrect during the propagation of a plane progressive mechanical wave?

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?

The equation of a progressive wave is $Y = a \sin 2 \pi (n t - \frac{x}{5})$. The ratio of maximum particle velocity to wave velocity is