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Question 31332
JEE Physics · Hard

Waves on String: Standing Wave Equation MCQ

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Standing Wave EquationHardQuestion 31332

Question

y₁ = A sin(ωt−kx) and y₂ = A sin(ωt+kx). Resultant:
  1. A
    0
  2. B
    2A sin(ωt)
  3. C
    2A cos(kx)sin(ωt)
    Correct
  4. D
    2A cos(ωt)sin(kx)

Correct answer

2A cos(kx)sin(ωt)

Explanation

Using superposition: A sin(ωt−kx) + A sin(ωt+kx) = 2A sin(ωt)cos(kx) = 2A cos(kx)sin(ωt).

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