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Question:

A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies?

Solution:

Given: Velocity of sound in air v = 344 m/s; Wavelength of the sound waves λ = v/f
For f1 = 20 Hz, λ1 = 344/20 = 17.2 m
For f2 = 20 kHz, λ2 = 344/(20 × 1000) = 1.72 × 10⁻² m