Sketch the phase velocity V (k) and the group velocity U (k) for the propagation of waves along a loaded string in the range of wave numbers 0 k d Show that U ( d) 0, whereas V( d) does not vanish What is the interpretation of this result in terms of the behavior of the waves ...

where The phase and group velocities for the propagation of waves along a load ...

Sketch the phase velocity V (k) and the group velocity U (k) for the propagation of waves

Question:

Sketch the phase velocity V (k) and the group velocity U (k) for the propagation of waves along a loaded string in the range of wave numbers 0 < k < π/d. Show that U (π/d) = 0, whereas V(π/d) does not vanish. What is the interpretation of this result in terms of the behavior of the waves?