Longitudinal and Transverse Waves

An electromagnetic wave is travelling in a medium with a velocity $\overrightarrow{v}=v\widehat{i}$ . The electric field oscillations, of this electromagnetic wave wave, are along the y – axis.

(a) Identify the direction in which the magnetic field oscillations are taking place, of the electromagnetic wave wave.

(b) How are the magnitudes of the electric and magnetic fields in the electromagnetic wave related to each other?

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

A transverse harmonic wave on a string is given by $y\left(x, t\right)=5 \sin \left(6t+0.003x\right)$ where $x$ and $y$ are in $\mathrm{cm}$ and $t$ in $\sec$. The wave velocity is _________ $\mathrm{m} {\mathrm{s}}^{-1}$.

The engine of a train moving with speed $10 \mathrm{m} {\mathrm{s}}^{-1}$ towards a platform sounds a whistle at frequency $400 \mathrm{Hz}$. The frequency heard by a passenger inside the train is: (Neglect air speed. Speed of sound in air $=330 \mathrm{m} {\mathrm{s}}^{-1}$)

Energy is not propagated by which of the following waves?

A heavy rope is suspended from a rigid support. A wave pulse is set up at the lower end; then:

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

Two pulses $A$ and $B$ have instantaneous velocities as shown by arrows. In which direction do these pulses travel in time?

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 equation of standing wave in a stretched string is given by $y(x,t)=a\cos \frac{2\pi }{\lambda }x\sin \left(\pi t\right)$, where $\mathrm{x}$ and $\mathrm{y}$ are in $\mathrm{m}$ and $\mathrm{t}$ in sec. Calculate the ratio of wave speed to the particle speed.

The differential equation of displacement of a wave is 

Given that phase difference between oscillation of sources as ${\varphi }_2-{\varphi }_1=\frac{\pi }{3}$, $l_1-l_2={\lambda }_0$ and medium of width $d=\frac{{\lambda }_0}{3}$ is kept in between $S_1$ and $P$. Where the speed of sound is $2c$. Speed of sound and wavelength in air is $c$ and ${\lambda }_0$ respectively. If the phase difference between the waves at point $P$ is $n\pi$. Find the value of $n$

As shown in figure string $PQR$ is stretched by force $F=(3-10kt) \mathrm{N},$ where $k$ is a constant and $t$ is time in second. At time $t=0,$ a pulse is generated at the end $P$ of the string. Find the value of $k$ $\left(\mathrm{in} \mathrm{N} {\mathrm{s}}^{-1}\right),$ if the value of force become zero as the pulse reaches at point $Q.$ (Assume linear mass density is constant and having value $0.3 \mathrm{g} {\mathrm{cm}}^{-1})$

Two pulses travelling on the same string are describes by the function $y_1$ and ${\mathrm{y}}_2$ ,generated from points $A$ and $B$ is in meter respectively $y_1=\frac{2}{(x-2t{)}^2+1},$ $y_2=\frac{-2}{(x+4t{)}^2+2},$ where $x$ (in metre) and $t$ (in sec) are in the distance between $A \& B$ is $1.5 \mathrm{m}.$ The position where these two pulses will meet from $A$ is. (Shape of the pulse does not change) is $x\times {10}^{-1} \mathrm{m}.$ Find $x$

A wire is made by welding together two metals having different densities. Figure shows a $2.00 \mathrm{m}$ long section of wire centred on the junction, but the wire extends much farther in both direction. The wire is placed under $2250 \mathrm{N}$ tension, then a $1500 \mathrm{Hz}$ wave with an amplitude of $3.00 \mathrm{mm}$ is sent down the wire. How many wavelengths (complete cycles) of the wave are in this $2.00 \mathrm{m}$ long section of the wire ?

The equation of a travelling wave is given by $Y=\frac{2}{5x^2+80t^2+40xt+10}$, where $x$ and $Y$ are in metre and $t$ is in second. The velocity of wave is

For a three-dimensional wave represented by

$f(\overrightarrow{r}, t)=A\sin \left(\overrightarrow{k}·\overrightarrow{r}-\omega t\right)$

The direction of $\overrightarrow{k}$ is

Which one of the following is an example of a one-dimensional wave?