(a) A circular cylindrical liquid jet of diameter, D, spontaneously breaks down into spherical droplets of diameter, d. Show that the minimum possible d/D = 1.5 due to surface tension/energy. (b) Rayleigh showed theoretically that the wavelength of sinusoidal perturbations in a liquid jet surface that grow the fastest (and thus indicate the lengths over which the jet is most likely to pinch off into droplets, is equal to the circumference of the unperturbed jet. Show that this gives a slightly larger lower limit to d/D