The speed of sound in a medium is determined by its properties, such as density and elasticity, and is generally unaffected by the wavelength or frequency of the sound wave. In other words, the speed of sound remains constant for a given medium under normal conditions.
The wavelength of a sound wave refers to the distance between successive points of the wave that are in phase, such as from one peak to the next peak or one trough to the next trough. A large wavelength implies a low frequency since frequency and wavelength are inversely proportional (i.e., as wavelength increases, frequency decreases, and vice versa). However, the speed of sound in a given medium will not change solely due to the wavelength of the sound wave. The speed of sound in a medium primarily depends on the properties of the medium itself, such as its temperature and composition.
Similarly, the frequency of a sound wave refers to the number of oscillations or cycles per second. High frequency implies a shorter wavelength since frequency and wavelength are inversely proportional. However, the speed of sound will not be affected by the frequency alone. The speed of sound in a particular medium is determined by the properties of that medium rather than the frequency of the sound wave passing through it.
To summarize, while the wavelength and frequency of a sound wave affect its characteristics, such as pitch and timbre, they do not directly influence the speed of sound in a medium. The speed of sound primarily depends on the properties of the medium itself.