Three identical cylindrical vessels A, B, and C contain equal masses of three liquids. The densities of the liquids satisfy _A < _B < _C . The force exerted on the base will be

Step-by-step solution

The force exerted by a liquid on the base of a cylindrical vessel is given by F = P A , where P is the pressure at the base and A is the area of the base. The pressure at the base is P = g h , where is the density of the liquid and h is the height of the liquid column. Substituting P into the force equation gives F = g h A . The volume of the liquid is V = h A , and the mass of the liquid is m = V = h A . Therefore, the force on the base can be written as F = m g . Since the three vessels contain equal masses of th