Question
In a closed organ pipe, the frequencies of vibration are
in the ratio:Solution
Given: A closed organ pipe Concept: – In a closed organ pipe, only odd harmonics are present – The fundamental frequency is: f₁ = v / 4L , where v = speed of sound, L = length of pipe Allowed frequencies: – First harmonic: f₁ – Third harmonic: f₃ = 3f₁ – Fifth harmonic: f₅ = 5f₁ – Seventh harmonic: f₇ = 7f₁ So, the frequency ratio is: f₁ : f₃ : f₅ : f₇ = 1 : 3 : 5 : 7
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