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Ratio of frequencies of a closed pipe and an open pipe of the same length

This type of question, asked 3 times: 10 May 2023 S1, 20 Apr 2025 S2, 26 Apr 2025 S1. All 3 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    14
    The pipe open at both ends and pipe closed at one end have same length and both are vibrating in fundamental mode. Air column vibrating in open pipe has resonance frequency n1n_1 and air column vibrating in closed pipe has resonance frequency n2n_2, then

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  2. Question 2

    20 Apr 2025 S2

    22
    The length of closed and open pipe is same. The ratio of frequency of nth n^{\text{th~}} overtone for closed pipe to that of open pipe is (Neglect end correction)

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  3. Question 3

    26 Apr 2025 S1

    43
    An air column is of length 17 cm. The ratio of frequencies of 5th 5^{\text{th~}}overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air =340 ms−1= 340{\text{ }ms}^{- 1})

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