What do you mean by phase velocity?

Definition of phase velocity : the velocity of a wave motion as determined by the product of the wavelength and frequency. — called also wave velocity.

What is the phase velocity of the particle?

The velocity v of the electron in the free electron gas model is the velocity with which the phase of the wave moves, it is called phase velocity vP. As long as a single plane wave symbolizes all that is to a particle, the phase velocity is automatically also the particle velocity v.

What is VP and VG?

Generally, ω(k) is called the dispersion relation and indicates the dispersion properties of a medium. As this formula predicts, if the phase velocity does not depend on the wavelength of the propogating wave, then vg = vp. Phase velocity of sound waves is independent of the wavelength when it propogates in air.

What is phase velocity formula?

For this reason, phase velocity is defined as v p = ω / k . This relation is generalized to three dimensions in Eq. (59). Given the phase velocity, the phase refractive index np is the factor describing how much slower the phase is propagating than the speed of light c0.

Is particle velocity and group velocity same?

Thus, the above equation shows that group velocity is equal to particle velocity.

Is phase velocity and particle velocity same?

In general – the particle velocity is not related to the waves phase velocity. Of course they are related, because the phase velocity and the particle velocity are consequences of the same equations of motion.

How do I calculate phase velocity?

Which is greater group velocity or phase velocity?

For most substances, therefore, the group velocity is smaller than the phase velocity. In such cases, it is mathematically possible that the group velocity may be larger than the phase velocity.

Is group velocity equal to phase velocity?

The phase velocity is: vp = ω/k. The function ω(k), which gives ω as a function of k, is known as the dispersion relation. If ω is directly proportional to k, then the group velocity is exactly equal to the phase velocity.

What is difference between velocity and particle velocity?

What is the difference between wave velocity and particle velocity? Wave velocity: Wave velocity is the velocity with which progressive wave front travels forward. Particle velocity is the velocity with which particles vibrate during the wave propagation.