Question $2(25$ points$)[$Textbook problem $7\mathrm{.}17][$Determination of Pi Terms$]$

The pressure drop, $p,$ along a straight pipe of diameter $D$ has been experimentally studied, and it is observed that for laminar flow of a given fluid and pipe, the pressure drop varies directly with the distance, $l,$ between pressure taps. Assume that $p$ is a function of $D,l,$ the velocity, $V,$ and the fluid viscosity, $.$ Use dimensional analysis to deduce how the pressure drop varies with pipe diameter, $D.$

Notes: $-$ Use $F,L,$ and $T$ as the basic dimensions.

Select your non$-$repeating variables based on problem statement $($no given by the instructor$)$

Common units of dynamic viscosity, $,$ are $\frac{N*s}{m^2}$