An intravenous $($IV$)$ system is supplying saline solution to a patient at the

rate of $0\mathrm{.}120$cm$3/$s through a needle of radius $0\mathrm{.}150$ mm and length $2\mathrm{.}50$ cm$.$ What

pressure is needed at the entrance of the needle to cause this flow, assuming the

viscosity of the saline solution to be the same as that of water? The gauge pressure of

the blood in the patient$$s vein is $8\mathrm{.}00$ mm Hg$.($Assume that the temperature is $20$C $.)$

$(2$pt$)$

$($a$)$ Verify that a pressure of $1\mathrm{.}62104$ N$/$m$2$ is created at a depth of $1\mathrm{.}61$ m in a saline

solution, assuming its density to be that of sea water. $(1$pt$)$

$"=$