The resonance tube used in this experiment produced only one resonance tone. What length of tube would be required to produce a second tone

Question

The resonance tube used in this experiment produced only one resonance tone. What length of tube would be required to produce a second tone under the same experimental conditions? Explain your answer.

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Thành Công 5 months 2021-08-15T07:08:39+00:00 1 Answers 10 views 0

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    2021-08-15T07:10:20+00:00

    Answer:

    the length that would produce a sound tone under the same experimental contditions must be increased by  Δl = \frac{v}{2f}

    Explanation:

    Recall

    V = f ×λ

    where λ is ⁴/₃l₂ for second resonance

    f = \frac{3v}{4l_{2} }

    l₂ = \frac{3v}{4f}

    where λ is 4l₁ for 1st resonance

    f = \frac{v}{4l_{1} }

    l₁ = \frac{v}{4f}

    ∴ Δl = l₂ – l₁ =  \frac{3v}{4f} ⁻  \frac{v}{4f}

    Δl=  \frac{2v}{4f}

    Δl = \frac{v}{2f}

    Therefore, the length should increase by \frac{v}{2f}

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