(a) A venturi meter is one of the instruments for measuring flow based on Bernoulli Principle. Show that for a venturi meter, the volumetric flow rate, q is given by the following equation: q=CA22gc(P1P2) (6 marks) (b) A venturimeler (See Fig. 1) is used for measuring Mow of water along a pipe. The diameter of the venturi throat is two-fifth the diameter of the pipe. The inlet and throat are connected by water-filled tubes to a mercury U-tube manometer. The velocity of flow along the pipe is found in he 2.5Hm/s, where H is the manometer reading in metres of mercury. Determine the loss of head belween inlet and throat of the venture when 11 is 0.49m. (Relative density) of mereury is 13.6). (8 marks)