Most people can detect frequencies as high as 20 000 Hz. Assuming the speed of sound in air is 345 m/s, determine the wavelength of the sound corresponding to this upper range of audible hearing.
Recall that v = fλ
So plug in your numbers and solve for λ
To determine the wavelength of sound corresponding to the upper range of audible hearing, we can use the formula:
wavelength = speed of sound / frequency
Given:
- Speed of sound in air = 345 m/s
- Frequency = 20,000 Hz
Plugging these values into the formula, we get:
wavelength = 345 m/s / 20,000 Hz
Now, let's calculate the wavelength:
wavelength = 0.01725 meters
Therefore, the wavelength of the sound corresponding to the upper range of audible hearing is approximately 0.01725 meters.