a. Two sharp ended pipes of diameters 50 mm and 100 mm respectively, each of length 100 m respectively, are connected in parallel between two reservoirs which have a difference of level of 10 m. If the friction factor for each pipe is 0.32, calculate : (i) Rate of flow for each pipe, and (ii) The diameter of a single pipe 100 m long which would give the same discharge, if it were substituted for the original two pipes.