Question
The audible range of frequencies is 20 Hz to 20,000 Hz. Find the range of wavelengths corresponding to this frequency. Given, the velocity of sound 340 m/s. [Ans. Range: 0.017 m to 17 m]
Answer
To find the range of wavelengths corresponding to the audible frequency range, we can use the formula:
Wavelength = Velocity \over Frequency
For the lower frequency limit of 20 Hz:
Wavelength = 340 \over 20 = 17 m
For the upper frequency limit of 20,000 Hz:
Wavelength = 340 m \over 20,000 = 0.017 m (17 mm)
Therefore, the range of wavelengths corresponding to the audible frequency range is from 0.017 m (17 mm) to 17 m.
