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

In a sinusoidal wave,the time required for a particular point to move from maximum displacement to zero displacement is $0.170\,s$. The frequency of the wave is .... $Hz$.

Which of the following functions for $y$ can never represent a travelling wave?

$A$ transverse wave in a medium is described by the equation $y = A \sin^2 (\omega t - kx)$. The magnitude of the maximum velocity of particles in the medium will be equal to that of the wave velocity,if the value of $A$ is ($\lambda$ = wavelength of wave).

$A$ sine wave has an amplitude $A$ and wavelength $\lambda$. Let $V$ be the wave velocity and $v$ be the maximum velocity of a particle in the medium. Then:

$A$ wave travelling in the $+ve$ $x$-direction having displacement along $y$-direction as $1\, m$,wavelength $2\pi\, m$,and frequency of $\frac{1}{\pi}\ Hz$ is represented by