Understanding the Relationship
* Speed of Sound: The speed of sound in air is approximately 343 meters per second (m/s) at room temperature.
* Frequency and Wavelength: Frequency (f) and wavelength (λ) are inversely proportional. This relationship is described by the following equation:
Speed of sound (v) = Frequency (f) x Wavelength (λ)
Calculation
1. Rearrange the equation to solve for wavelength:
λ = v / f
2. Plug in the values:
λ = 343 m/s / 34,000 Hz
3. Calculate the wavelength:
λ ≈ 0.0101 meters or 1.01 centimeters
Therefore, the wavelength of a 34,000 Hz ultrasound wave in air is approximately 1.01 centimeters.
