The number of waves counted by an observer on the sea-coast in one minute is $54$. If the wavelength of the waves is $5 \text{ m}$, then the velocity of the waves in $\text{m/s}$ will be:

What is the phase difference between consecutive crest and trough?

Two waves are represented by: $x_1 = A \sin \left(\omega t + \frac{\pi}{6}\right)$ and $x_2 = A \cos \omega t$. Then the phase difference between them is

$A$ simple harmonic progressive wave is represented as $Y = A \sin 2 \pi (n t - \frac{x}{\lambda}) \text{ cm}$. If the maximum particle velocity is four times the wave velocity,then the wavelength of the wave is

Which of the following equations represents a wave?

For the wave $y(x, t) = 3.0 \sin (36 t + 0.018 x + \pi / 4)$,plot the displacement $(y)$ versus time $(t)$ graphs for $x = 0, 2$ and $4 \; cm$. What are the shapes of these graphs? In which aspects does the oscillatory motion in a travelling wave differ from one point to another: amplitude,frequency,or phase?