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The fundamental frequency of a closed organ pipe equals the first overtone frequency of an open organ pipe. If the open pipe is 60 cm long, the closed pipe is

Asked in JEE Main 31st Jan 1st Shift 2024 · Closed and open pipes

Answer: (3) 15 cm

Step-by-step solution

Closed pipe fundamental: v/(4L_c). Open pipe first overtone (second harmonic): (2v)/(2Lₒ)=v/(Lₒ).

1/(4L_c)=1/(Lₒ) gives L_c=(Lₒ)/4=15 cm.

Why the other options are wrong

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