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The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, y_1( x, t)=4 sin ( kx-ω t) and y_2( x, t)=2…

JEE Main 2025 — Physics Waves & Oscillations

2025mcqmedium

The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, y1(x,t)=4sin⁡(kx−ωt)\mathrm{y}_1(\mathrm{x}, \mathrm{t})=4 \sin (\mathrm{kx}-\omega \mathrm{t})y1​(x,t)=4sin(kx−ωt) and y2(x,t)=2sin⁡(kx−ωt+2π3)\mathrm{y}_2(\mathrm{x}, \mathrm{t})=2 \sin \left(\mathrm{kx}-\omega \mathrm{t}+\frac{2 \pi}{3}\right)y2​(x,t)=2sin(kx−ωt+32π​), are :::

(Take the angular frequency of initial waves same as ω\omegaω)

Official previous-year question

Held on 8 Apr 2025 · Verified 6 Jul 2026.

Options

  1. A

    [6,2π3]\left[6, \frac{2 \pi}{3}\right][6,32π​]

  2. B

    [6,π3]\left[6, \frac{\pi}{3}\right][6,3π​]

  3. C

    [3,π6]\left[\sqrt{3}, \frac{\pi}{6}\right][3​,6π​]

  4. D

    [23,π6]\left[2 \sqrt{3}, \frac{\pi}{6}\right][23​,6π​]

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