Equation (10.10) is for a single disturbance wave. For periodic small-amplitude surface waves of wavelength and period

Question:

Equation (10.10) is for a single disturbance wave. For periodic small-amplitude surface waves of wavelength λ and period T, in viscid theory [5 to 9] predicts a wave propagation speed where y is the water depth and surface tension is neglected.
(a) Determine if this expression is affected by the Reynolds number, Froude number, or Weber number. Derive the limiting values of this expression for
(b) y<<λ and
(c) y <<λ.
(d) Also for what ratio y/λ is the wave speed within 1 percent of limit (c)?