Question

The relation between phase velocity u and group velocity vg is

Answer 1

Answer:

Relation between phase velocity and group velocity. ψ/ . For a non dispersive medium, wave velocity i.e. phase velocity is independent of wavelength. ... Hence from equation (5.11) the phase velocity is equal to the group velocity.

Explanation:

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Answer 2

The Group velocity and Phase Velocity relation can be  written as-

Explanation:

where

$V_{g} = V_{p} +k(dV_{p} /dk)$

• $V_{g}$  represents the group velocity

• $V_{p}$  represents the phase velocity

• k represents the angular wavenumber

• The phase velocity is directly proportional to group velocity.

      Which means-

• When group velocity  will increase the  phase velocity will also increase and vice versa.

• Thus, we see the direct dependence of  phase velocity  on group velocity and vice-versa.

Answer = $V_{g} = V_{p} +k(dV_{p}/dK)$