Calculate the longest wavelength of sound that a human can hear. The speed of sound in air is 340m/s?

deksteenk9
2022-09-30
Answered

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barquegese2

Answered 2022-10-01
Author has **11** answers

I assume here that the frequency that most humans can hear range from 20Hz to 20000Hz

Wavelength is given by the equation:

$\lambda =\frac{v}{f}$

where:

$\lambda $ is the wavelength is meters

v is the velocity in meters per second

f is the frequency in hertz

From here, we see that wavelength is inversely proportional to frequency, and so to get the maximum wavelength, we need to have the smallest frequency that's hearable, which is 20Hz

So, we get:

$\lambda =\frac{340m/s}{20Hz}$

$=\frac{340m{s}^{-1}}{20{s}^{-1}}(\because 1Hz=1{s}^{-1})$

=17m

Wavelength is given by the equation:

$\lambda =\frac{v}{f}$

where:

$\lambda $ is the wavelength is meters

v is the velocity in meters per second

f is the frequency in hertz

From here, we see that wavelength is inversely proportional to frequency, and so to get the maximum wavelength, we need to have the smallest frequency that's hearable, which is 20Hz

So, we get:

$\lambda =\frac{340m/s}{20Hz}$

$=\frac{340m{s}^{-1}}{20{s}^{-1}}(\because 1Hz=1{s}^{-1})$

=17m

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