A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. Find the maximum wavelength in air attained by th

Question

A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. Find the maximum wavelength in air attained by this instrument when the speed of sound in air is 344 m/s. Answer in units of m.

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Thiên Ân 6 months 2021-07-29T02:39:06+00:00 1 Answers 5 views 0

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    2021-07-29T02:40:52+00:00

    Answer:

    The maximum wavelength in air attained by this instrument is 12.28 meters.

    Explanation:

    Given that,

    A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz.

    We need to find the maximum wavelength in air attained by this instrument when the speed of sound in air is 344 m/s.

    We know that the speed of any wave is given by :

    v=f\lambda

    When f = 28 Hz

    \lambda_1=\dfrac{v}{f}\\\\\lambda_1=\dfrac{344}{28}\\\\\lambda_1=12.28\ m

    When f = 4200 Hz

    \lambda_2=\dfrac{v}{f_2}\\\\\lambda_2=\dfrac{344}{4200}\\\\\lambda_2=0.0819\ m

    So, the maximum wavelength in air attained by this instrument is 12.28 meters.

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