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7 January, 09:24

A resonance tube can be used to measured the speed of sound in air. A tuning fork is held above the opening of the tube and struck, while the far end of the tube is lengthened or shortened. Resonances (loudnesses) are heard at a series of tube lengths, L, which are carefully measured.

resonance tube

The speed of sound in air is determined by measuring the distance between two consecutive resonances. A data set for a tuning fork with a frequency of 320 Hz are L1 = 25.8 cm; L2 = 78.4 cm; and L3 = 131.1 cm. Based on these data, what is the speed of sound in air?

Hint: the opening at the top is an antinode while the water surface is a node. Therefore, what fraction of a full wave is L1? What fractions are L2 and L3?

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  1. 7 January, 11:51
    0
    330.24 Hz

    Explanation:

    Given:

    Frequency, f = 320 Hz

    L1 = 25.8 cm

    L2 = 78.4 cm

    L3 = 131.1 cm

    Let the wavelength be λ

    Then, L1 which is the length of the column of air is λ/4.

    λ/4 = 25.8 cm

    λ = 25.8 * 4 = 103.2 cm = 1.032 m

    Then, speed of sound in air is:

    v = λ f

    ⇒ v = 1.032 * 320 Hz

    ⇒ v = 330.24 m/s
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