Question

For sound waves in air with a frequency of 1000 Hz, a displacement amplitude of 1.2×10⁻⁸ m produces a pressure amplitude of 3.0×10⁻² Pa. Using v_sound = 344 m/s, what is the wavelength of the sound wave?

1) 0.344 m
2) 0.344 cm
3) 3.44 m
4) 3.44 cm

Answer 1

The wavelength of the sound wave with a frequency of 1000 Hz and a speed of sound at 344 m/s is calculated using the equation λ = v/f, giving a wavelength of 0.344 meters.

Step-by-step explanation:

To find the wavelength of the sound wave, we can use the basic wave equation which relates wave speed (v), frequency (f), and wavelength (λ):

v = f λ

Given that the speed of sound (v_sound) is 344 m/s and the frequency of the sound wave is 1000 Hz, we can solve for the wavelength (λ) by rearranging the equation to:

λ = ÷

λ = 344 m/s ÷ 1000 Hz

λ = 0.344 m

Therefore, the wavelength of the sound wave is 0.344 meters, which corresponds to option 1).