Final answer:
The speed of sound in a medium depends on its rigidity and density. Temperature also affects the speed of sound. The relationship between the speed of sound, frequency, and wavelength is consistent in a given medium.
Step-by-step explanation:
The speed of sound in a medium is determined by the medium's rigidity and density. The more rigid the medium, the faster the speed of sound, while the greater the density, the slower the speed of sound. For example, sound travels faster in solids than in liquids, and faster in liquids than in gases.
In addition to rigidity and density, temperature also affects the speed of sound. As the temperature of a medium increases, the speed of sound in that medium also increases. This is because higher temperatures cause the particles in the medium to move faster, resulting in increased sound wave propagation.
The relationship between the speed of sound, frequency, and wavelength is the same for all frequencies and wavelengths in a given medium. As the frequency of a sound wave increases, its wavelength decreases, and vice versa. However, the speed of sound remains constant in that medium.