Distance travelled by a progressive wave having wavelength $\lambda$ and frequency $\nu$ in time $t$ is ......

The displacement of a plane progressive wave in a medium,travelling towards the positive $x$-axis with a velocity of $4 \ m/s$,at $t=0$ is given by $y=3 \sin 2 \pi (-x/3)$. The expression for the displacement at a later time $t=4 \ s$ will be:

The figure shows four progressive waves $A, B, C$ and $D$ with their phases expressed with respect to the wave $A$. It can be concluded from the figure that

For a progressive wave,$y = 5 \sin (0.01x - 2t)$ (where $x$ and $y$ are in $cm$ and $t$ is in $s$). What will be its speed of propagation (in $cm/s$)?

$A$ progressive wave is represented by $y=12 \sin (5 t-4 x) \ cm$. On this wave,how far away are the two points having a phase difference of $90^{\circ}$?

The equation of a progressive wave is given by $y = A \cos 240(t - x/12)$,where $t$ is the time in seconds and $x$ is the distance in meters. The phase difference (in radians) between two positions $0.5 \, m$ apart is: