Question

The frequency range for a normal human ear is between 20 Hz and 20 000 Hz. Using 330 m/s as the speed of sound, a. Calculate the shortest wavelength of sound that can be heard: b. Calculate the longest wavelength of sound that can be heard:

Answer 1

(a) 0.0165 m

(b) 16.5 m

Step-by-step explanation:

Applying,

v = λf.................. Equation 1

Where v = velocity, f = frequency, λ = wave length.

make λ the subject of the equation

λ = v/f............. Equation 2

(a) Shortest wavelength (λ')

Given: f' = 20000 Hz, v = 330 m/s

Substitute these values into equation 2

λ' = 330/20000

λ' = 0.0165 m

(b) Longest wavelength (λ)

Given: v = 330 m/s, f = 20 Hz

Substitute these value into equation 2

λ = 330/20

λ = 16.5 m