Solution
= Solution
Since
$$
c_pc_g=c^2,
$$
the phase speed is always larger than the group speed for nonzero finite $k$. Wave crests therefore move faster than the packet envelope.
= Solution
Since
$$
c_pc_g=c^2,
$$
the phase speed is always larger than the group speed for nonzero finite $k$. Wave crests therefore move faster than the packet envelope.