Give pertinent answers for the following: (a) Bernoulli’s equation for fluid pressure is given by Linearize the above equation for fluid pressure on the free surface (y = h), for incompressible flow,...

Give pertinent answers for the following: (a) Bernoulli’s equation for fluid pressure is given by Linearize the above equation for fluid pressure on the free surface (y = h), for incompressible flow, and clearly state when this linearized dynamic free surface condition is not valid. (b) The linearized surface wave velocities are given by with Reduce the above equation for (i) deepwater and (2) shallow water and find the velocities; also state the errors involved in the above reduction.