Three progressive waves with heights $H=1m$ and periods of $T_1=4$ seconds, $T_2=23$ seconds and $T_3=1200$ seconds are measured at a location where the water depth is $h=30m.$ For each of the three waves:

Determine the wagelength, phase speed and group velocity

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

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

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