Wave Motion

The distance between two successive minima of a transverse wave is $2.7 \mathrm{m}$. Five crests of the wave pass a given point along the direction of travel every $15.0 \mathrm{s}$. The speed of the wave is

For a wave, $y=A\sin \frac{2\mathrm{\pi }}{\lambda }\left(\vartheta t-x\right)$, time-average of kinetic energy is given by:

The phase difference between displacement and particle velocity is

The phase difference between displacement and pressure wave equation of longitudinal wave.

If mean coordinate the particle of longitudinal wave be $x_m$ then minimum coordinate of displacement will be.

If mean co-ordinate of the particle of longitudinal wave be $x_m$, then what will be maximum co-ordinate of displacement ($a$ = amplitude)

The expression for a sinusoidal wave at a fixed location can be written as:

What is the correct expression for the speed of the longitudinal waves?

Equipotential surface of a greater distance from a collection of charge whose total sum is not zero one approximately.

The transverse displacement at position $x$ and time $t$ in a string due to a travelling wave is given by $y(x, t)=$$3.0\cos (\pi x-4\pi t)\mathrm{cm}$, where $x$ is in centimeters and $t$ is in seconds. Which of the following statements is wrong?

The equation of a wave travelling in a string can be written as $y=3 \cos \mathrm{\pi } \left(100t-x\right) \mathrm{cm}$. Its wavelength is 

A plane progressive wave is given by $y=2\cos 6.284(330t-x)$. What is the time period of the wave?

The relation between wavelength $\lambda$ and angular wavenumber $k$of the wave is 

Two sound waves of frequencies $100 \mathrm{Hz}$ and $102 \mathrm{Hz}$ and having the same amplitude $A$ are interfering. A detector which can detect waves of amplitude greater than or equal to $A$ is kept at rest. In a time interval of $12$ seconds, find the total duration in which detector is active.

In a wave, travelling in $+X$ direction with speed of $2 \mathrm{cm}/\mathrm{s},$ the particles displacement at $x=0$ is given by $y\left(mm\right)=\left\{\begin{array}{cl}2t& 0\le t\le 2\\ 6-t& 2<t\le 4\end{array}.\right.$ Find the displacement of particle (in $\mathrm{mm}$ ) at $x=4 \mathrm{cm}$ at $t=5\sec$

A wave of amplitude $A=0.2 \mathrm{m}$, velocity $v=360 {\mathrm{ms}}^{-1}$ and wavelength $60 \mathrm{m}$ is travelling along positive $x$-axis, then the correct expression for the wave is

The equation of a progressive wave is $y=8\sin \left[\pi \left(\frac{t}{10}-\frac{x}{4}\right)+\frac{\pi }{3}\right].$ The wavelength of the wave is,

The clocktower ("ghantaghar") of Dehradun is famous for the sound of its bell, which can be heard, albeit faintly, upto the outskirts of the city $8 \mathrm{km}$ away. Let the intensity of this faint sound be $30 \mathrm{dB}.$ The clock is situated $80 \mathrm{m}$ high. The intensity at the base of the tower is:-

The diagram shows an instantaneous position of a string as a transverse progressive wave that travels along it from left to right. Which one of the following correctly shows the direction of the velocity of points $1, 2$ and $3$ on the string?

A wave motion has the function $y=a_0\sin \left(\mathrm{\omega }t-kx\right)$. The graph in the figure shows how the displacement $y$ at a fixed point varies with time $t$. Which one of the labelled points shows a displacement equal to that at the position $x=\frac{\mathrm{\pi }}{2k}$ at time $t=0 ?$