JEE Physics · Hard

Waves on String: Standing Waves MCQ

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

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Standing WavesHardQuestion 31367

Question

Two travelling waves y₁ = A sin(ωt − kx + φ₁) and y₂ = A sin(ωt + kx + φ₂) superimpose. Resultant:
  1. A
    Travelling wave
  2. B
    Standing wave with shifted nodes
    Correct
  3. C
    Beats
  4. D
    Zero

Correct answer

Standing wave with shifted nodes

Explanation

Any two counter-propagating waves of same frequency form a standing wave. Different phases φ₁, φ₂ just shift the nodal positions along x.