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Pipe open at both ends is dipped partly in water: new fundamental frequency of the air column

The same question, asked 5 times: 3 May 2023 S1*, 10 May 2024 S1*, 23 Apr 2025 S1*, 15 Apr 2026 S2, 19 May 2026 S2. Every wording 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

    10 May 2024 S1

    36
    An open organ pipe having fundamental frequency (nn) is in unison with a vibrating string. If the tube is dipped in water so that 75%75\% of the length of the tube is inside the water, then the ratio of fundamental frequency of the air column of the dipped tube with that of the string will be (Neglect end corrections)

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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

    15 Apr 2026 S2

    122
    A pipe open at both ends has a fundamental frequency 'f' in air. The pipe is dipped in water, so that 23rd\dfrac{2}{3}^{rd} length of pipe is in water, Now the fundamental frequency of the air column is

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  5. Question 5

    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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