For a wave propagating in a medium, identify the property that is independent of the others.

Two waves are represented by the equations, $y_1 = a \sin(\omega t + kx + 0.57)$ and $y_2 = a \cos(\omega t + kx)$, where $x$ is in metre and $t$ is in second. What is the phase difference between them? $(\pi = 3.14)$

The phase difference corresponding to a path difference of $x$ is

What is the phase difference between two successive crests in a wave?

$A$ transverse wave is represented by the equation $y = y_0 \sin \frac{2\pi}{\lambda} (vt - x)$. For what value of $\lambda$ is the maximum particle velocity equal to two times the wave velocity?

$A$ progressive wave of frequency $400 \ Hz$ is travelling with a velocity $336 \ m/s$. How far apart are the two points which are $60^{\circ}$ out of phase (in $m$)?