Question
Define particle and wave velocity and find the relation between them.
Solution
Particle velocity is the velocity of particle of media at any instant as a progressive wave travels through media.
Wave velocity is the velocity with which a progressive wave travels in media.
Displacement of particle at any instant t is,
...(1)
∴
...(2)
and
...(3)
From (2) and (3),
But
is wave velocity.
So, the relation between particle and wave velocity is given by,
Wave velocity is the velocity with which a progressive wave travels in media.
Displacement of particle at any instant t is,
...(1) ∴
...(2) and
...(3) From (2) and (3),
But
is wave velocity. So, the relation between particle and wave velocity is given by,
