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 31239

Question

Two sound waves of amplitudes A and 2A with phase difference 60° superimpose. Resultant amplitude is:
  1. A
    A√3
  2. B
    A√7
    Correct
  3. C
    3A
  4. D
    2A

Correct answer

A√7

Explanation

Resultant A_R = √(A₁² + A₂² + 2A₁A₂cosφ) = √(A² + 4A² + 2×A×2A×cos60°) = √(5A² + 2A²) = A√7.