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Question 31369
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Waves on String: Harmonics MCQ

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

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HarmonicsHardQuestion 31369

Question

Two strings A (L_A, μ_A) and B (L_B, μ_B) under same tension T. They are joined and the junction is free (antinode). If L_A = L_B and μ_A = μ_B/4, fundamental frequency of system:
  1. A
    Cannot determine without more info
    Correct
  2. B
    v_A/(2L_A)
  3. C
    Frequency determined by longer effective length
  4. D
    1/(2L_A+2L_B) × v_effective

Correct answer

Cannot determine without more info

Explanation

Joined strings have different wave speeds (v_A = 2v_B). The system's normal modes are complex and don't have simple closed-form frequencies without knowing boundary conditions.

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