The velocity of a sound wave refers to the speed at which the wave propagates through a medium, such as air or water. It is typically denoted by the symbol "v" and is determined by the properties of the medium.
On the other hand, the amplitude of velocity variations of the oscillating sound particles refers to the maximum displacement or distance that individual particles of the medium move from their equilibrium position as the sound wave passes through. It represents the extent of the particle's motion caused by the sound wave.
Comparing these two quantities, it is important to note that they are related but represent different aspects of sound propagation. The velocity of the sound wave determines how fast the wave travels, while the amplitude of velocity variations indicates the extent of particle motion caused by the wave.
In general, the velocity of a sound wave (v) is much larger than the amplitude of velocity variations of the oscillating sound particles. This is because the speed of sound in a medium is typically much higher than the individual particle velocities. For example, in air at room temperature, the speed of sound is approximately 343 meters per second, whereas the individual particles of air oscillate with much smaller velocities due to the sound wave.
Therefore, the velocity of a sound wave (v) is larger in magnitude compared to the amplitude of velocity variations of the oscillating sound particles.