CGP Edu

Physics Wave and Sound Interference and Superposition of Waves Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

Two waves

$y_{1} = A_{1} \sin(\omega t - \beta_{1})$ , $y_{2} = A_{2} \sin(\omega t - \beta_{2})$

Superimpose to form a resultant wave whose amplitude is

$\sqrt{A_1^2 + A_2^2 + 2 A_1 A_2 \cos(\beta_1 - \beta_2)}$

$\sqrt{A_1^2 + A_2^2 + 2 A_1 A_2 \sin(\beta_1 - \beta_2)}$

$A_1 + A_2$

$|A_1 + A_2$

Text Solution

Verified by Experts

The correct answer is:

Phase difference between the two waves is

$\varphi = (\omega t - \beta_2) = (\omega t - \beta_1) = (\beta_1 - \beta_2)$

∴ ∴ Resultant amplitude $A = \sqrt{A_1^2 + A_2^2 + 2 A_1 A_2 \cos(\beta_1 - \beta_2)}$

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.