As the frequency of sound waves increases, the wavelength of the sound waves decreases
true or false?
I would think these answers were in your text/manual/notes. My limit on this type question is one answer and I have given you the one answer.
True. As the frequency of sound waves increases, the wavelength of the sound waves decreases.
To understand why this is true, we need to know a few basic concepts. Frequency refers to the number of complete cycles of a wave that occur in a given time, usually measured in hertz (Hz). Wavelength, on the other hand, refers to the distance between two consecutive points in a wave that are in the same phase (e.g. two peaks or two troughs).
The relationship between frequency and wavelength can be described by the equation: v = fλ, where v represents the velocity of the wave, f represents the frequency, and λ represents the wavelength.
Since the velocity of sound waves in a medium (such as air) remains relatively constant, if the frequency of the sound waves increases, the wavelength must decrease in order to keep the velocity constant. This means that as the sound waves become more compressed (shorter wavelength), they will have more cycles occurring within a given time (higher frequency). Conversely, if the frequency of the sound waves decreases, the wavelength will increase to maintain the overall velocity of the waves.