Two waves y₁ = A sin(kx − ωt) and y₂ = A sin(kx − ωt + φ) superpose. T…

Question

Two waves y₁ = A sin(kx − ωt) and y₂ = A sin(kx − ωt + φ) superpose. The resulting amplitude is

Accepted Answer

D. {'text': '2A × cos(φ/2)', 'label': 'D'}

1. Superposition of two same-frequency waves with phase difference φ yields a resultant of the same frequency.
2. Amplitude of the resultant: A_res = 2 A cos(φ/2).
3. For φ = 0, constructive interference gives 2A; for φ = π destructive gives 0.
4. This is the basis of Young's double-slit interference.
_Source: NCERT Class 11 Physics, Ch 14 "Waves", §14.5_

Answer

{'text': 'A + A × φ', 'label': 'A'}

Answer

{'text': '2A × sin(φ/2)', 'label': 'B'}

Answer

{'text': 'A × cos(φ)', 'label': 'C'}