Two waves are simultaneously passing through a string and their equations are : y1 = A1 sin k(x $-$ vt), y2 = A2 sin k(x $-$ vt + x0). Given amplitudes A1 = 12 mm and A2 = 5 mm, x0 = 3.5 cm and wave number k = 6.28 cm$-$1. The amplitude of resulting wave will be ................ mm.

Question

Two waves are simultaneously passing through a string and their equations are :

y₁ = A₁ sin k(x $-$ vt), y₂ = A₂ sin k(x $-$ vt + x₀). Given amplitudes A₁ = 12 mm and A₂ = 5 mm, x₀ = 3.5 cm and wave number k = 6.28 cm^$-$1. The amplitude of resulting wave will be ................ mm.

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