Problem 29. The speed of long shallow water waves in the ocean (e.g., seismic sea waves or tsunamis) depends only on the still water depth D and the acceleration due to gravity g.Derive an expression for the wave speed V. Use your result to determine the value of the non-dimensional ratio: V/VgD. \text { (a) } 1 \text { (b) } \sqrt{2} \text { (c) } 1 / \sqrt{2} \text { (d) not enough information } \text { (e) None of these }

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6