Question

the human ear can detect continuous sound in the frequency range from 20Hz to 20,000Hz assuming that speed of air is 330ms-1 for all frequency calculate the wavelengths corresponding to the given extreme frequency of the audible range
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Answer 1

Answer:

m=16.5 mm

Explanation:

Speed of sound in air v=330 m/s

Wavelength of sound wave λ= ν

where ν is the frequency of sound wave.

Minimum frequency heard by human ear ν

mmi =20 Hz

So, maximum wavelength of sound wave λ

mma = ν min

v∴ λ

max = 20/330

=16.5 m

Maximum frequency heard by human ear ν

m max =20 kHz=20000 Hz

So, minimum wavelength of sound wave λ

mmi = ν max

v∴ λ min

= 20000330

=16.5×10−3

m=16.5 mm