On closing an open organ pipe from one end, it is noticed that the frequency of third harmonic is 50 Hz more than the fundamental frequency of vibration in open organ pipe. The fundamental frequency o

Question

On closing an open organ pipe from one end, it is noticed that the frequency of third harmonic is 50 Hz more than the fundamental frequency of vibration in open organ pipe. The fundamental frequency of open organ pipe is

TestHub · Accepted Answer

Fundamental frequency of closed pipe = n 1 ​ = 4 ℓ V ​ Frequency of third harmonic n 3 ​ = 4 ℓ 3 V ​ Fundamental frequency of open pipe = n 1 ​ ′ = 2 ℓ V ​ 4 ℓ 3 V ​ − 2 ℓ V ​ = 50 ∴ 4 ℓ V ​ = 50 ∴ 2 ℓ V ​ = 100 Hz

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