Transverse and Longitudinal waves

The wave function of a pulse is given by $y=\frac{5}{1+{\left(4x+6t\right)}^2}$ where$x$and $y$ are in metre and$t$is in second. The velocity of pulse is 

The same progressive wave is represented by two graphs$I$and$II$. Graph $I$shows how the displacement $y$ varies with the distance$x$along the wave at a given time. Graph II shows how y varies with time tat a given point on the wave. The ratio of measurements$AB$ to $CD$, marked on the curves

A sound wave propagating along $x-axis$, in medium$I$of density ${\rho }_1=1.5 \mathrm{kg} {\mathrm{m}}^{-3}$is transmitted to a medium$II$of density ${\rho }_2=3 \mathrm{kg} {\mathrm{m}}^{-3}$. The equation of excess pressure developed by wave in medium$I$and that in medium $II$ respectively are $P_1=4\times {10}^{-2}\cos \omega (t-\frac{x}{400})$ (in SI unit)  and $P_2=3\times {10}^{-2} \cos (t-\frac{x}{1200})$ (in SI units)
Then the ratio of intensity of transmitted wave $I_2$(wave in medium$II$) to the intensity of incident wave$I_1$ that is $\frac{I_2}{I_1}$ is

Sound and light waves are_____.

The figure shows the position-time graph of an object in SHM. The correct equation representing this motion is

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Two harmonic waves travelling in the same medium have frequency in the ratio $1:2$ and intensity in the ratio $1:36$. Their amplitude ratio is 

Two waves of equal amplitude when superposed, give a resultant wave having an amplitude equal to that of either wave. The phase difference between the two waves is

The coordinates of a moving particle at a time$t$ are given by $x=5\sin 10t$, $y=5\cos 10t$. The speed of the particle is:

The wave number of the microwaves with wavelength $4\times {10}^7 \mathrm{nm}$.

In SHM, how velocity is equal to root of tension in string divided by $\mu$?

The pitch of a sound wave depends upon which one of its following characteristics?

A simple harmonic wave of amplitude$8$unit travels along the positive x-axis. At given instant of time, for a particle at a distance of $10 \mathrm{cm}$ from the origin, the displacement is $+6$ unit and for a particle at a distance of $25 \mathrm{cm}$ from the origin, the displacement is $+4$unit. Calculate the wavelength(in $\mathrm{cm}$).

Bose speaker produces a sound during the concert which has $120$ crests and $120$ troughs in $0.6$ seconds. What is the frequency of the wave$?$

A wave pulse in a horizontal string is represented by a function

$y\left(x,t\right)=\frac{6}{2+{\left(x-3t\right)}^2}$

(c. g .s system) then

The differential equation of displacement of a wave is 

A simple harmonic wave of amplitude$8$unit travels along the positive x-axis. At given instant of time, for a particle at a distance of $10 \mathrm{cm}$ from the origin, the displacement is $+6$ unit and for a particle at a distance of $25 \mathrm{cm}$ from the origin, the displacement is $+4$unit. Calculate the wavelength.

Match List - I with List - II and select the correct answer using the codes given below the lists:

What is the expression of the a sinusoidal wave at a fixed instant?

What is the expression of sinusoidal wave at a fixed location? 

Transverse waves cannot travel through