What are the wavelengths of sound waves at the lower and upper limits of human hearing (10 Hz and 20 kHz, respectively)?

Zoie Frazier

Zoie Frazier

Open question

2022-08-21

What are the wavelengths of sound waves at the lower and upper limits of human hearing (10 Hz and 20 kHz, respectively)?

Answer & Explanation

Harmony Horn

Harmony Horn

Beginner2022-08-22Added 11 answers

To solve this problem, we will be applying an equation that determines wavelength as:
λ = v f
Where:
λ - wavelength
v = 343 m s - speed of sound
f 1 = 10 H z-lower frequency
f 2 = 20 k H z = 20 10 3 H z - high frequency
Calculation
First, we will put known values into the equation that determines the wavelength and calculate it at the lower limit:
λ 1 = 343 m s 10 H z
=34.3m
Next, we will put known values into the equation that determines the wavelength and calculate it at the upper imit:
λ 1 = 343 m s 20 10 3 , H z
=0.01715m
Result:
λ 1 = 34.3 m
λ 2 = 0.017 m

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