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9 June, 11:10

A child has an ear canal that is 1.3 cm long. At what sound frequencies in the audible range will the child have increased hearing sensitivity?

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  1. 9 June, 13:29
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    The answer to this is

    6600 Hz to 19,800 Hz

    Explanation:

    The shape of the human ear is analogous to a closed ended pipe hence

    we have λ = 4L or wavelength = 4 * length of the child ear

    The frequency c/λ where c = speed of sound = 343 m/s

    hence the child's audible range is multiples of 343 / (4*0.13) = 6600Hz

    or 13200 Hz or 19,800 Hz

    The generally quoted range of human hearing is 20 Hz to 20 kHz
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