In general, sound waves of different frequencies travel at the same speed in a given medium. The speed of sound in a particular substance depends on the properties of that substance, such as its density, elasticity, and temperature. However, for a given medium, the speed of sound is typically independent of the frequency of the sound wave.
In most common materials, such as air, water, and solids, the speed of sound is relatively constant for a wide range of frequencies. For example, in dry air at room temperature, sound travels at approximately 343 meters per second (about 767 miles per hour) regardless of the frequency of the sound wave. This is often referred to as the "speed of sound" or the "acoustic velocity" in that medium.
However, it's worth noting that the speed of sound can vary slightly depending on certain factors. For instance, in different gases or under extreme conditions like high pressure or temperature, the speed of sound may deviate from the standard value. Additionally, in some materials, such as certain solids or liquids, the speed of sound can be frequency-dependent, exhibiting a phenomenon known as dispersion, where different frequencies propagate at slightly different speeds.
Overall, while seismic waves (such as P-waves and S-waves) have distinct velocities and behaviors, sound waves of different frequencies typically travel at the same speed within a given medium under normal conditions.