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Pipe open at both ends dipped in water behaves as a closed pipe of the length left in air

This type of question, asked 4 times: 3 May 2023 S1, 21 Apr 2025 S1, 23 Apr 2025 S1, 19 May 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    16
    The fundamental frequency of an air column in a pipe open at both ends is 'f1f_1'. Now 80% of its length is immersed in water, the fundamental frequency of the air column becomes f2f_2. The ratio of f1:f2f_1:f_2 is

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  2. Question 2

    21 Apr 2025 S1

    4
    A pipe open at both ends of length 1.5 m is dipped in water at one end such that 2nd 2^{\text{nd~}} overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz . The length of the pipe immersed in water is (Speed of sound in air =330 m/s= 330\text{ }m/s ) (Neglect end correction)

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  3. Question 3

    23 Apr 2025 S1

    36
    A pipe open at both ends produces a fundamental frequency n1n_{1}. When the pipe is kept with 3th 4\frac{3^{\text{th~}}}{4} of its length in water, it produces a note of fundamental frequency n2n_{2}. The ratio of n1n2\frac{n_{1}}{n_{2}} is

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  4. Question 4

    19 May 2026 S2

    123
    A pipe open at both ends has a frequency ff in air. The pipe is dipped vertically in water, so that its (1/3)(1/3) part of its length is in water. The fundamental frequency of the air column is now xfxf, the value of xx is

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