a$)$ You have been assigned as a consultant engineer to design a manometer used to measure pressure. Figure Q$1($a$)$ shows an inclined manometer attached to a pipe filled with water. The manometer fluid is mercury $($specific gravity$=13\mathrm{.}56),$ and the open end is filled with glycerine $($specific gravity $=1\mathrm{.}3).$

i$.$ If the pressure in point $A$ is $12\mathrm{.}95$kPa, solve the angle of the manometer.

ii$.$ If the pressure in point $A$ is doubled and the angle remains the same, solve for the new value of the mercury differential reading. Draw a diagram to describe the changes.

Figure Q$1($a$)$