Write the equation of displacement of an element of a medium in a harmonic wave.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The displacement function for a harmonic wave is given by the equation: $s(x, t) = a \sin(kx - \omega t + \phi)$.
Here,$s(x, t)$ represents the displacement of an element of the medium at position $x$ and time $t$.
$a$ is the amplitude of the wave.
$k$ is the angular wave number,defined as $k = \frac{2\pi}{\lambda}$.
$\omega$ is the angular frequency,defined as $\omega = 2\pi f$.
$\phi$ is the initial phase constant.

Explore More

Similar Questions

If the wave equation is $y = 0.08 \sin \frac{2\pi}{\lambda} (200t - x)$,then the velocity of the wave will be:

The phase difference between the following two waves $y_1$ and $y_2$ is:
$y_1 = a \sin(\omega t - kx)$
$y_2 = b \cos(\omega t - kx + \frac{\pi}{3})$

The path difference between the two waves $y_1 = a_1 \sin \left( \omega t - \frac{2\pi x}{\lambda} \right)$ and $y_2 = a_2 \cos \left( \omega t - \frac{2\pi x}{\lambda} + \phi \right)$ is

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

$A$ transverse wave is represented by the equation $y=2 \sin (30 t-40 x)$ where the measurements of distances are in meters,then the velocity of propagation is (in $ms^{-1}$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo