Reconsider the slanted-plate surface tension problem (see Fig. C1.1) as an exercise in dimensional analysis, let the capillary rise h vary only with fluid properties, bottom width, gravity, and the two angles in Fig. C1.1. That is, h = fcn(ρ, Y, g, L, α, θ ). (a) Rewrite this function in terms of dimensionless parameters. (b) Verify that the exact solution from Prob. C1.1 is consistent with your result to part (a).