$A$ wave is given by $y=5 \times 10^{-3} \sin \left(12.5 \pi x - \frac{\pi}{2} t\right)$. Then its wavelength and time period are respectively ($y$ and $x$ are in metres and $t$ is in seconds).

$A$ 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):

Explain the amplitude and phase of a wave.

The equation of a simple harmonic wave is given by $y = 6 \sin 2 \pi (2t - 0.1x)$,where $y$ and $x$ are in $mm$ and $t$ is in seconds. The phase difference between two particles $2 \ mm$ apart at any instant is (in $^{\circ}$)

The particles of a medium vibrate about their mean positions whenever a wave travels through that medium. The phase difference between the vibrations of two such particles

$A$ simple harmonic progressive wave is represented by $y=A \sin (100 \pi t+3 x)$. The distance between two points on the wave at a phase difference of $\frac{\pi}{3}$ radian is