The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, \({\mathrm{y}}_{1}(\mathrm{x},\mathrm{t})=4\sin (\mathrm{kx}-\omega \mathrm{t})\) and \({\mathrm{y}}_{2}(\mathrm{x},\mathrm{t})=2\sin \left(\mathrm{kx}-\omega \mathrm{t}+\frac{2\pi }{3}\right)\), are :
(Take the angular frequency of initial waves same as \(\omega\))

[JEE Main 2025, 8 Apr (Shift 1)]

Question

The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, \({\mathrm{y}}_{1}(\mathrm{x},\mathrm{t})=4\sin (\mathrm{kx}-\omega \mathrm{t})\) and \({\mathrm{y}}_{2}(\mathrm{x},\mathrm{t})=2\sin \left(\mathrm{kx}-\omega \mathrm{t}+\frac{2\pi }{3}\right)\), are :
(Take the angular frequency of initial waves same as \(\omega\))

[JEE Main 2025, 8 Apr (Shift 1)]

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