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Question 31253
JEE Physics · Hard

Sound Waves: Organ Pipe MCQ

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Organ PipeHardQuestion 31253

Question

If an open pipe sounds 2nd harmonic simultaneously as a closed pipe sounds 3rd harmonic, ratio of their lengths is:
  1. A
    3:4
  2. B
    4:3
    Correct
  3. C
    2:3
  4. D
    1:1

Correct answer

4:3

Explanation

Open 2nd harmonic: f = 2v/(2L_o) = v/L_o. Closed 3rd harmonic: f = 3v/(4L_c). Equal: v/L_o = 3v/(4L_c) → L_o/L_c = 4/3. Ratio L_o:L_c = 4:3.

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