A liquid flows through the space between a small rod and a pipe, as shown in diagram below. The outer radius of the pipe is $,$ the inner radius of the rod is $,$ and the ratio $=.$ A pressure difference per unit length $(/)$ of $2000$ Pa$/$m is applied to drive the fluid flow. The liquid has a viscosity of $=0\mathrm{.}02$ Pa$.$ s$.$ If the equation of volumetric flow rate $($Q$)$ of the liquid, is given as $=8+84+(12)2$ ln $8($A$)$ What should be the value of $$n$,$ for the equation above to be dimensionally consistent? Use dimensional analysis. $($B$)$ Calculate the value of volumetric flow rate in cubic meter per second when $=(+)/2,$ and $=20,=10.$ Report your result with three significant figures.