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Physics !

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Sound enters the ear, travels through the auditory canal, and reaches the eardrum. The auditory canal is approximately a tube open at only one end. The other end is closed by the eardrum. A typical length for the auditory canal in an adult is about 2.6 cm. If the speed of sound is 338 m/s. What is the fundamental frequency of the canal? (Interestingly, the fundamental frequency is in the frequency range where human hearing is most sensitive.)

  • Physics ! -

    Assume it is 1/4 lambda, closed at one end.

    1/4 lambda= .025m
    lambda= .1m
    f= 338/.1= 3380hz.

  • Physics ! -

    f1=c/(4L)

    c=338m/s
    L=2.6cm=0.026m

    f1=338/(4x0.026)
    =3250Hz

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