The equation of a plane progressive wave is given by $y=3$sin $\pi \left(\frac{t}{0.02}-\frac{x}{20}\right)$ . The frequency of the wave is 

If the equation of a transverse wave is $y=5\sin 2\pi \left[\frac{t}{0.04}-\frac{x}{40}\right],$ where distance is in cm and time in second, then the wavelength of the wave is

A plane progressive wave is represented by the equation $y=0.1\sin \left(200\pi t-\frac{20\pi x}{17}\right)$ where y is displacement in $\mathrm{m},\mathrm{t}$ in second and $\mathrm{x}$ is distance from a fixed origin in metre. The frequency, wavelength and speed of the wave respectively are 

The displacement y of a wave travelling in the x-direction is given by $y={10}^{-4}\sin \left(600t-2x+\frac{\pi }{3}\right)$ metres, where x is expressed in metres and $t$ in seconds. The speed of the wave-motion, in ${\mathrm{ms}}^{-1}$, is 

The equation of the progressive wave is $y=a\sin 2\pi \left(nt-\frac{x}{5}\right).$ The ratio of maximum particle velocity to wave velocity is 

A wave in a string has an amplitude of $2\mathrm{cm}$. The wave travels in the positive direction of $\mathrm{X}$-axis with a speed of $128 \mathrm{m} {\mathrm{s}}^{-1}$ and it is noted that $5$ complete waves fit in $4\mathrm{m}$ length of the string. The equation describing the wave is 

The diagram below shows the propagation of a wave. Which points are in same phase?

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