Three progressive waves with heights H=1 m and periods of T1=4 seconds, T2=23 seconds and T3=1200 seconds are measured at a location where the water depth is h=30 m. For each of the three waves:

a) Determine the wavelength, phase speed and group velocity

b) Determine if these waves are in shallow, intermediate or deep waters.

c) Determine the pressure amplitude at the surface (z=0) and at the bottom (z=-h).

d) What needs to be the water depth so these waves are in "deep waters"? Is the "deep water" depth realistic for the 1200 second period wave? Hint: Note that a new wavelength needs to be computed for each of the three waves.