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:
- A60 cm
- B30 cm
- C15 cmCorrect
- D10 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.