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The Human Ear Can Detect Continuous Sounds in the Frequency Range from 20 Hz to 20,000 Hz. Assuming that the Speed of Sound in Air is 330 Ms1 for All Frequencies; Calculate the Wavelengths Corresponding to the Given Extreme Frequencies of the Audible Range - ICSE Class 10 - Physics

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Question

The human ear can detect continuous sounds in the frequency range from 20 Hz to 20,000 Hz. Assuming that the speed of sound in air is 330 ms1 for all frequencies; calculate the wavelengths corresponding to the given extreme frequencies of the audible range

Solution

Audible range of hearing for a normal human ear is 20 Hz to 20,000 Hz.

Speed of sound in air, v = 330 ms-1

Speed, wavelength and frequency are related as

v = nλ

`:. lambda = v/n`

nlower = 20 Hz

nupper  = 20,000 Hz

`:. lambda_"lower" = v/(n_"lower")`

`:.lambda_"lower" = 330/20 = 16.5 m`

Similary `lambda_"upper" = v/n_"upper"`

`:. lambda_"upper" = 330/20000` = 0.0165 m = 16.5 mm

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Solution The Human Ear Can Detect Continuous Sounds in the Frequency Range from 20 Hz to 20,000 Hz. Assuming that the Speed of Sound in Air is 330 Ms1 for All Frequencies; Calculate the Wavelengths Corresponding to the Given Extreme Frequencies of the Audible Range Concept: Sound - Reflection of Sound Waves.
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