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Question 31377
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 31377

Question

A wave in a lighter string (μ₁) reaches a junction with heavier string (μ₂ = 4μ₁). Reflection amplitude ratio:
  1. A
    1/3
    Correct
  2. B
    1/2
  3. C
    1/4
  4. D
    2/3

Correct answer

1/3

Explanation

v₁ = √(T/μ₁), v₂ = √(T/4μ₁) = v₁/2. r/A = (v₂−v₁)/(v₂+v₁) = (v₁/2−v₁)/(v₁/2+v₁) = (−v₁/2)/(3v₁/2) = −1/3. Magnitude = 1/3.

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