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Question 31370
JEE Physics · Hard

Waves on String: Reflection MCQ

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

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ReflectionHardQuestion 31370

Question

A sinusoidal wave on string hits a denser string at junction. Reflected amplitude r and incident amplitude A are related by:
  1. A
    r = A(v₂−v₁)/(v₂+v₁)
  2. B
    r = A(v₁−v₂)/(v₁+v₂)
    Correct
  3. C
    r = A(v₁+v₂)/(v₁−v₂)
  4. D
    r = A

Correct answer

r = A(v₁−v₂)/(v₁+v₂)

Explanation

Reflection coefficient: r/A = (v₂−v₁)/(v₂+v₁). If v₂ < v₁ (denser medium), r is negative (inversion). Magnitude = A(v₁−v₂)/(v₁+v₂).

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