What is the wavelength of the third harmonic in a 4.5-m-long pipe that is closed at one end?

Question

What is the wavelength of the third harmonic in a 4.5-m-long pipe that is closed at one end?

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Acacia 5 years 2021-08-04T03:10:15+00:00 1 Answers 20 views 0

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    2021-08-04T03:11:51+00:00

    Answer:

    Wavelength of sound in the pipe is 6.0 m

    Explanation:

    As we know that closed pipe is given to us so here at open end it will form antinode while at closed end it will form Node

    Here we know that in closed pipes on odd harmonics will exist

    so here for third harmonic we have

    L = \frac{\lambda}{4} + \frac{\lambda}{2}

    where L = length of the pipe

    so we have

    4.5 = \frac{3\lambda}{4}

    \lambda = 6.0 m

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