Assertion : In transverse wave particle velocity is perpendicular to the direction of wave velocity.

Reason : In wave motion energy always transferred in the direction of wave propagation.

Assertion : The wave function of a pulse is given by $y=\frac{3}{(2x+3t+4)}$ is propagates in ($-\text{ve} x-$ direction)

Reason : The given wave function is of the form $y=f(kx+\omega t)$ which represent a wave travelling in negative $x$- direction.

Assertion : Standing waves do not transfered energy in the medium.

Reason : Every particle vibrates with its own energy and it does not share its energy with any other particle

Assertion : A wave can be represented by function $y=f(kx\pm \omega t).$ 

Reason : Because it satisfies the differential equation
$\frac{{\partial }^2\mathrm{y}}{\partial {\mathrm{x}}^2}=\frac{1}{{\mathrm{v}}^2}\left(\frac{{\partial }^2\mathrm{y}}{\partial {\mathrm{t}}^2}\right)\text{ where }\mathrm{v}=\frac{\omega }{\mathrm{k}}$

An amplitude modulated signal is plotted below:

Which one of the following best describes the above signal?

The electric field part of an electromagnetic wave in a medium is represented by $E_{\mathit{x}}=0$; $E_{\mathit{y}}=2.5\frac{\mathrm{N}}{\mathrm{C}}\cos \left[\left(2\pi \times {10}^6\frac{\mathrm{rad}}{\mathrm{m}}\right)t-\left(\pi \times {10}^{-2}\frac{\mathrm{rad}}{\mathrm{s}}\right)x\right]$; $E_2=0.$ The wave is