Q.1 Find the diameter of a pipe of length 2000 m when the rate of flow of water through the pipe is 200 litres/sec and the head loss due to friction is 4 m. Take the value of C = 50 in Chezy's formula. Take m=d/4 in cheezy's formula. Q.2 Calculate the discharge through a pipe of diameter 200 mm when the difference of pressure head between the two ends of a pipe 500 m apart is 4 m of water. Take the value of f=0.009. Q.3 Find the loss of head when a pipe of diameter 200 mm is suddenly enlarged to a diameter of 400 mm. The rate of flow of water through the pipe is 250 litres/sec. Q.4 A pipe line 60 cm diameter bifurcates at a Y-junction into two branches 40 cm and 30 cm in diameter. If the rate of flow in the main pipe is 1.5 m³/sec and mean velocity of flow in 30 cm diameter pipe is 7.5 m/s, determine the rate of flow in the 40 cm diameter pipe. Q.5 Derive the Equation for Loss of Head Due to Friction in uniform pipe in which flow is steady.