B$3$

Answer the following questions

$($i$)$ State the principle used in the continuity equation.

$(1$ Mark$)$

$($ii$)$ Two pipes of diameters $300$ mm and $200$ mm are merged to form a single pipe of diameter $450$ mm $.$ If the average velocities in the $450$ mm diameter pipe and the $300$ mm diameter pipe are $3\frac{m}{s}$ and $2\mathrm{.}5\frac{m}{s}$ respectively. Sketch the arrangement and determine the discharge through the $450$ mm diameter pipe & velocity in $200$ mm diameter pipe.

$($Diagram $0\mathrm{.}5$ Mark & Solution $2\mathrm{.}5$ Marks$)$