Problem 5(Helmholtz resonance) A square basin of depth 10m surface area 4.0E04m is connected to an open ocean via a channel of width 20 m length 100m and depth 10m. The frequency of oscillations is so low that the water level is almost uniform within the basin. Let n(t) be the disturbance of water level in the basin. Find a relation between nt) and the disturbance of the gravitational energy of the total volume of water (the sea level at open ocean remains constant). How the uniform fluid velocity within the narrow d channel is related to -n(t)? The kinetic energy is essentially concentrated to the narrow channel. dt Write Lagrangian. Find Helmholtz frequency oscillations