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Air column lengths at resonance in a resonance tube or closed pipe

This type of question, asked 4 times: 2021 Paper 3, 2021 Paper 21, 28 Jun 2022, 29 Jun 2022. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 3

    3
    A student is performing the experiment of resonance column. The diameter of the column tube is 6 cm6\text{ }cm. The frequency of the tuning fork is 504 Hz504\text{ }Hz. Speed of the sound at the given temperature is 336 m/s336\text{ }m/s. The zero of the metre scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:

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  2. Question 2

    2021 Paper 21

    30
    A tuning fork is vibrating at 250 Hz250\text{ }Hz. The length of the shortest closed organ pipe that will resonate with the tuning fork will be ____\_\_\_\_ cmcm. (Take speed of sound in air as 340 ms−1340{\text{ }ms}^{- 1} )

  3. Question 3

    28 Jun 2022

    117
    A tuning fork of frequency 340 Hz340\text{ }Hz resonates in the fundamental mode with an air column of length 125 cm125\text{ }cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is ____\_\_\_\_ cm. (Velocity of sound in air is 340 ms−1340{\text{ }ms}^{- 1} )

  4. Question 4

    29 Jun 2022

    113
    In an experiment to determine the velocity of sound in air at room temperature using a resonance is observed when the air column has a length of 20.0 cmcm for a tuning fork of frequency 400 Hz400\text{ }Hz is used. The velocity of the sound at room temperature is 336 ms−1336{\text{ }ms}^{- 1}. The third resonance is observed when the air column has a length of ____\_\_\_\_ cm.