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JEE Main 2022 · 25 Jun · Shift 1, Physics question 55

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm. The length of the open organ pipe is ______ cm.

Answer and worked solution

Official answer: 80

Frequencies. Open pipe first overtone vL\dfrac v{L}; closed pipe fundamental v4(20)\dfrac v{4(20)}.

Equal. L=80L=80 cm.

Answer: 80