Offshore in deep water, a wave gage measures the height and period of a train of waves to be 2m and 7.5 s respectively. The wave train propagates toward the shore in a normal direction without refracting and the nearshore bottom slope is 1:40. It passes the outer end of a pier located in water 4.5m deep. a) Determine the wavelength, celerity, group celerity, energy density, and power in deep water.