Equation of Wave

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.

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

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 

A wave transports__

A progressive wave is represented by $y=12\sin (5t-4x)$ $\mathrm{cm}$. On this wave, how far away are the two points having a phase difference of $90°$?

The transverse displacement $y\left(x,t\right)$ of a wave on a string is given by $y\left(x,t\right)=e^{-\left(a{x}^2+b{t}^2+2\sqrt{ab}\mathrm{ x}t\right)}$. This represents a

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 $t=5\sec$

Equation of a wave motion (with t in second and x in metre) is given by, $y=7 \sin \left(7\mathrm{\pi t}-0.04\mathrm{\pi x}+\raisebox{1ex}{$\mathrm{\pi }$}\!\left/ \!\raisebox{-1ex}{$3$}\right.\right)$. The velocity of the wave is given by :

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,

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 $t=0 ?$

If the speed of the wave shown in the figure is $330 \mathrm{m} {\mathrm{s}}^{-1}$ in the given medium, then the equation of the wave propagating in the positive $x$-direction will be (all quantities are in MKS units)

The equation of a wave travelling on a string is $y=4\sin \left[\frac{\pi }{2}\left(8 \mathrm{t}-\frac{x}{8}\right)\right],$ where $x, y$ are in $\mathrm{cm}$ and $t$ in second. The velocity of the wave is

What is the relation between angular frequency and the time period of a wave?

A travelling harmonic wave is represented by the equation $y\left(x, t\right)={10}^{-3}\sin \left(50t+2\mathrm{x}\right)$ ,where $x$ and $y$are in meter and $t$ is in seconds. Which of the following is a correct statement about the wave?

The equation of a progressive wave moving in +ve X-direction is given by -