Speed of sound in air is 330m//s.Find maximum and minimum wavelength of audible sound in air.
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Answer:
hello mate..
The relationship of the speed of sound vw, its frequency f, and its wavelength λ is given by vwfλ, which is the same relationship given for all waves. In air, the speed of sound is related to air temperature T by vw=(331m/s)√T273K v w = ( 331 m/s ) T 273 K . vw is the same for all frequencies and wavelengths.
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maximum wavelength is 16.5 m
& minimum wavelength is
16.5 ×10-³ m
•Speed of sound is 330 m/s
•Relation between spped of sound , frequency and wavelength of sound wave is :
V = vk
•where V = speed of sound
v = frequency of sound wave
k = wavelength of sound wave
So , k = V/v
•Wavelength of wave is maximum when its frequency is minimum & wavelength is minimum when frequency is maximum .
•Also , Audible range of frequency of sound wave is from 20 Hz to 20,000 Hz
•where Hz is Hertz ( unit of frequency)
• For Maximum wavelength of sound wave :
v = 20 Hz
k = 330 / 20
k = 16.5 m
• For Minimum wavelength of sound wave
v = 20,000 Hz
k = 330/20,000
k = 16.5 ×10-³ m
•so, maximum wavelength is 16.5 m
& minimum wavelength is
16.5 ×10-³ m
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