State the principle of superposition of waves.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The principle of superposition states that when two or more waves travel through a medium simultaneously,each wave acts independently of the others. The resultant displacement $y$ at any point and at any instant is the algebraic sum of the individual displacements $y_1, y_2, y_3, \dots$ produced by each wave at that point.
Mathematically,it is expressed as: $y = y_1 + y_2 + y_3 + \dots = \sum_{i=1}^{n} y_i$.

Explore More

Similar Questions

Two identical waves $1$ and $2$,each of intensity $I_0$,are superimposed. The resulting intensity is:

Difficult
View Solution

The resultant amplitude due to the superposition of two waves $y_1 = 5 \sin (\omega t - kx)$ and $y_2 = -5 \cos (\omega t - kx - 150^{\circ})$ is:

Two waves represented by $y_1 = 10 \sin(2000 \pi t + 2x)$ and $y_2 = 10 \sin(2000 \pi t + 2x + \frac{\pi}{2})$ are superposed at any point at a particular instant. The resultant amplitude is ..... $unit$.

Difficult
View Solution

Two waves of amplitudes $A_0$ and $x A_0$ pass through a region. If $x > 1$,the difference between the maximum and minimum resultant amplitude possible is

Two waves $y_1 = A_1 \sin(\omega t - \beta_1)$ and $y_2 = A_2 \sin(\omega t - \beta_2)$ superimpose to form a resultant wave whose amplitude is:

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