Equation of motion in the same direction are given by $y_1 …

Physics Wave and Sound Progressive and Successive Waves Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

Equation of motion in the same direction are given by

$y_1 = 2a \sin(\omega t - kx)$ and $y_{2} = 2a \sin(\omega t - kx - \theta)$

The amplitude of the medium particle will be

$2a \cos \theta$

$\sqrt{2a}\cos\theta$

$4a \cos \theta/2$

$\sqrt{2} a \cos \theta / 2$

Text Solution

Verified by Experts

The correct answer is:

Resultant amplitude

$A_{R} = 2A \cos \left(\frac{\theta}{2}\right) = 2 \times (2a) \cos \left(\frac{\theta}{2}\right) = 4a \cos \left(\frac{\theta}{2}\right)$

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