When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150 Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be

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3 rd overtone of closed pipe = 7 n oc ​ = 4 ℓ 7 v ​ 2 nd overtone of closed pipe = 3 n 00 ​ = 2 ℓ 3 v ​ Now, 4 ℓ 7 v ​ = 2 ℓ 3 v ​ + 150 4 ℓ 7 v ​ − 2 ℓ 3 v ​ = 150 4 ℓ 7 v − 6 v ​ = 150 4 ℓ v ​ = 150 ∴ ℓ = ∴ ​ 4 × 150 v ​ n 00 ​ = 2 ℓ v ​ = 2 × v v × 4 × 150 ​ = 300 Hz ​

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