The human ear can detect sounds with frequencies between 20 Hz and 20kHz. Find the largest and smallest wavelengths the ear can detect, assuming that the sound travels through air with a speed of 343 m/s at 20°C.

smallest ___m

largest____m

frequency*wavelength=343m/s

you are given the two frequencies, calculate the corresponding wavelengths.

To find the smallest and largest wavelengths that the human ear can detect, we need to use the formula:

wavelength = speed of sound / frequency

First, let's find the smallest wavelength. The smallest frequency audible to humans is 20 Hz. We can use the formula to calculate the corresponding wavelength:

wavelength = 343 m/s / 20 Hz
wavelength = 17.15 m

Therefore, the smallest wavelength the human ear can detect is approximately 17.15 meters.

Now, let's find the largest wavelength. The largest frequency audible to humans is 20 kHz, which is equivalent to 20,000 Hz. We can use the same formula to calculate the largest wavelength:

wavelength = 343 m/s / 20,000 Hz
wavelength = 0.01715 m

Therefore, the largest wavelength the human ear can detect is approximately 0.01715 meters.

In summary, the smallest wavelength the ear can detect is approximately 17.15 meters, and the largest wavelength the ear can detect is approximately 0.01715 meters.

1.715