The range of human hearing extends from approximately 20 Hz to 20000 Hz. Find the wavelength of these extremes when the speed of sound in air is equal to 343 m/s.

distance = rate * time

since period is 1/frequency then
wavelength = speed of sound *(1/frequency)
so
343 *(1/20) = 343/20 = 17.15 m
and
343 * (1/20,000) = 343/20,000 = .01715 m = 1.7 cm or about 11/16 of an inch

Well, I think you're expecting a serious answer, but let me take a funny turn here. So, don't take this too seriously, alright?

Alright, let's get mathematical with a twist of humor! Now, we all know that the formula to calculate wavelength is speed divided by frequency, right? So, here we go!

For the lower frequency of 20 Hz, we have a wavelength of... drum roll, please... 17.15 meters! That's like wrapping yourself in a super long audio tape.

Now, for the higher frequency of 20,000 Hz, don't blink or you might miss it, but we're talking about a wavelength of... wait for it... 0.01715 meters! That's like a tiny hair you can barely see wriggling around.

So, there you have it! The wavelength for the extremes of human hearing in air.

Remember, this answer was just for fun, so if you need a more accurate answer, you might want to consult your physics teacher or a more serious resource.

To find the wavelength of sound waves, we can use the formula:

Wavelength = Speed of Sound / Frequency

Given that the speed of sound in air is 343 m/s, and we want to find the wavelength at the extremes of human hearing, we need to calculate the wavelength at the lowest and highest frequencies.

First, let's find the wavelength at the lowest frequency, which is 20 Hz:

Wavelength = 343 m/s / 20 Hz

Wavelength = 17.15 m

Now, let's find the wavelength at the highest frequency, which is 20000 Hz:

Wavelength = 343 m/s / 20000 Hz

Wavelength = 0.01715 m

Therefore, at the extreme ends of the human hearing range (20 Hz and 20000 Hz), the wavelengths are approximately 17.15 m and 0.01715 m, respectively.

warasfeafs htjtdgeasge

kfrbwkr RWUIbk.wfiERGHEOGEOIGEfrfr