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    Question

    In a closed organ pipe, the frequencies of vibration are

    in the ratio:
    A 1 : 2 : 3 : 4 Correct Answer Incorrect Answer
    B 1 : 3 : 5 : 7 Correct Answer Incorrect Answer
    C 1 : 1.5 : 2 : 2.5 Correct Answer Incorrect Answer
    D 1 : √2 : √3 : 2 Correct Answer Incorrect Answer

    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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