On a day when the speed of sound is 345 m/s, a 440 Hz tuning fork causes a tube closed at one end to vibrate in the second harmonic. How lon

Question

On a day when the speed of sound is 345 m/s, a 440 Hz tuning fork causes a tube closed at one end to vibrate in the second harmonic. How long is the tube?​

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Sapo 5 years 2021-07-18T18:04:52+00:00 1 Answers 23 views 0

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  1. thachthao
    0
    2021-07-18T18:05:55+00:00
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    Answer:

    Length = 3.136 meters

    Explanation:

    Given the following data;

    Speed = 345 m/s

    Frequency = 440 Hz

    To find how long is the tube;

    First of all, we would determine the wavelength;

    Wavelength = speed/frequency

    Wavelength = 345/440

    Wavelength = 0.784 m

    Next, we would determine how long is the tube using the formula;

    Length = \frac {2n - 1}{4} * wavelength

    Substituting into the formula, we have;

    Length = \frac {2*1 - 1}{4} * 0.784

    Length = \frac {2 - 1}{4} * 0.784

    Length = \frac {1}{4} * 0.784

    Length = 3.136 meters

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