The distance between two consecutive crests in a wave train produced in a string is $5 \ cm$. If $2$ complete waves pass through any point per second,the velocity of the wave is ..... $cm/sec$.

$A$ plane progressive wave is given by $y = 2 \cos 2 \pi (330 t - x) \ m$. The frequency of the wave is: (in $Hz$)

Select the correct statement about the reflection and refraction of a wave at the interface between medium $1$ and medium $2$.

$A$ wave in a string has an amplitude of $2\, cm$. The wave travels in the $+ve$ direction of $x-$axis with a speed of $128\, m/s$ and it is noted that $5$ complete waves fit in $4\, m$ length of the string. The equation describing the wave is

$A$ wave is given by the equation $y=(0.02) \sin (\pi x - 8 \pi t)$. The velocity of the wave is (where $y$ and $x$ are in meters and $t$ is in seconds). (in $m/s$)

$A$ sound wave of frequency $210 \text{ Hz}$ travels with a speed of $330 \text{ ms}^{-1}$ along the positive $x$-axis. Each particle of the wave moves a distance of $10 \text{ cm}$ between the two extreme points. The equation of the displacement function $s(x, t)$ of this wave is ($x$ in metre,$t$ in second):