A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of ^h ⁄ 6, ^h ⁄ 3 and ^h ⁄ 2 respectively. What will be the ratio of the instantaneous velocity of discharge through a small opening at the base of the tank in this case to that if the container is filled with the liquid of density ρ only? (assume that the diameter of the opening is negligible compared to the height of the liquid column)
I had been asked this question by my school teacher while I was bunking the class.
My query is from Hydrostatic Force on Plane Area topic in portion Hydrostatic Forces on Surfaces of Fluid Mechanics