JEE Physics · Hard

Sound Waves: Resonance in Pipes MCQ

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

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Resonance in PipesHardQuestion 31235

Question

A closed organ pipe and an open organ pipe are in unison at fundamental frequency. If open pipe is 30 cm long, closed pipe length is:
  1. A
    60 cm
  2. B
    30 cm
  3. C
    15 cm
    Correct
  4. D
    10 cm

Correct answer

15 cm

Explanation

Open pipe fundamental: f = v/(2L₀) = v/0.6. Closed pipe: f = v/(4L_c). Same f: v/0.6 = v/(4L_c) → L_c = 0.6/4 = 0.15 m = 15 cm.