Question

check
which sound wave features are being described?
\\(\frac{\text{number of wavelengths}}{\text{time}}\\)
\\(\frac{\text{distance traveled}}{\text{time}}\\)

Explanation:

Step1: Analyze the first ratio

The ratio \(\frac{\text{Number of wavelengths}}{\text{Time}}\) represents how many wavelengths pass a point per unit time. This is the definition of frequency, as frequency (\(f\)) is the number of cycles (or wavelengths, for sound waves which are longitudinal but can be modeled with wavelength - related cycles) per unit time. So \(\frac{\text{Number of wavelengths}}{\text{Time}}=\text{Frequency}\).

Step2: Analyze the second ratio

The ratio \(\frac{\text{Distance traveled}}{\text{Time}}\) is a fundamental formula in physics. For any wave (including sound waves), the distance traveled by the wave per unit time is its speed (or velocity, if direction is considered). So \(\frac{\text{Distance traveled}}{\text{Time}}=\text{Speed (of the sound wave)}\).

Answer:

For \(\frac{\text{Number of wavelengths}}{\text{Time}}\): Frequency
For \(\frac{\text{Distance traveled}}{\text{Time}}\): Speed (of the sound wave)