Question

For sound waves, the group and phase velocities satisfy the relation

For sound waves, the group and phase velocities satisfy the relation

Homework Answers

Answer #1

Group velocity of a wave in terms of angular frequency and wave number (k), is given by

   .............................(1)   

And the phase velocity of the wave is given by

or,

putting the value of in equation (1), we get

     

This is the relation between phase velocity and the group velocity of any wave.

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