Q$-1/$ A horizontal pipe line $40$ m long is connected to a water tank at one end and discharges freely into the atmosphere at the other end. For the first $25$ m of its length from the tank, the pipe is $150$ mm diameter and its diameter is suddenly enlarged to $300$ mm $.$ The height of water level in the tank is $8$ m above the center of the pipe. Considering major and minor losses of head occur. Determine The rate of flow $($Q$).$ Take $f=0\mathrm{.}01$ for both sections of the pipe.