The speed (v) of ripples on the surface of water depends on surface tension σ   density (ρ)  and wavelength (λ) . The square of speed (v) is proportional to

Let  v = σaρbλcEquating dimensions on both sidesM0L1T−1 = MT−2aML−3bLc∝ Ma+bL−3b+cT−2aEquating the power of M,L, T on both sides, we geta+b = 0-3b+c = 12a = -1Solving, we geta = 12,   b= −12, c= −12∴   v = σ12ρ−12λ−12∴  v2 = σρλ