Capillary waves are small surface waves or ripples whose dominant restoring force is surface tension. Suppose a liquid is indefinitely deep and the amplitude of a capillary wave is so small as to play no role in its behavior. Then its wave speed u can depend only on wavelength A, surface tension σ, acceleration of gravity g, and possibly the mass density p of the liquid.
find the two dimensionless products with symbols given in the problem by Buckingham II theorem. hint:one of the products has X and the other doesn't.