The highest frequencies humans can hear is about 20000 Hz. What is the wavelength of sound in air at this frequency? The speed of sound is 340 m/s.

0.017 m

Explanation:

Wavelength: This can be defined as the distance covered in one complete oscillation by a wave. The S. I unit of wave length is meter (m).

The expression for wave length is given as

v = λf ... Equation 1

Where v = speed of sound in air, λ = wave length of sound, f = frequency of sound.

make λ the subject of the equation,

λ = v/f ... Equation 2

Given: v = 340 m/s, f = 20000 Hz

Substitute into equation 2

λ = 340/20000

λ = 0.017 m.

Hence the wave length of sound in air = 0.017 m