What are the wavelength limits of the audible range of the sound spectrum? (Use the speed of sound in air. The speed of sound in air is 344 m/s. The audible range of the sound spectrum contains frequencies as low as 30 Hz and as high as 25 kHz.)
To calculate the wavelength limits of the audible range of the sound spectrum, we first need to determine the corresponding wavelengths for the frequencies of 30 Hz and 25 kHz.
1. We know that the speed of sound in air is 344 m/s. The formula for the relationship between speed, frequency, and wavelength is:
Speed = Frequency x Wavelength
2. For the lower frequency limit of 30 Hz:
Wavelength = Speed / Frequency
Wavelength = 344 m/s / 30 Hz
Wavelength = 11.47 meters
3. For the higher frequency limit of 25 kHz:
Wavelength = Speed / Frequency
Wavelength = 344 m/s / 25000 Hz
Wavelength = 0.01376 meters or 13.76 mm
Therefore, the wavelength limits of the audible range of the sound spectrum are approximately 11.47 meters to 0.01376 meters.