QUESTION $3$

A U$-$tube differential manometer connects two pressure points, A and B in a pipe. Pipe A contains a liquid of specific gravity $1,9$ under a pressure of $150k\frac{N}{m^2}$ while Pipe B contains oil of specific gravity $0,85$ under a $250k\frac{N}{m^2}$ pressure. The distance from the top of Pipe B to Pipe A is $2$ m $.$ Determine the difference in pressure measured by mercury as fluid filling a U$-$tube. The specific gravity of Mercury $=13,6.S_1$ on the left and $S_2$ on the right when looking at the diagram below.

$[6$ Marks$]$