JEE Physics · Hard

Sound Waves: Superposition MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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SuperpositionHardQuestion 31233

Question

Two waves y₁ = A sin(ωt) and y₂ = A sin(ωt + 2π/3) superimpose. Resultant amplitude is:
  1. A
    A
    Correct
  2. B
    A√3
  3. C
    2A
  4. D
    A/2

Correct answer

A

Explanation

Resultant amplitude = 2A cos(Δφ/2) = 2A cos(π/3) = 2A × ½ = A.