A $5[$m$]$ tall soil column with a cross$-$sectional area of $0\mathrm{.}2[$m$2]$ is fully saturated.

The column is initially sealed at the top and bottom. A pressure gauge and a flow valve

is fitted at the bottom of the column. The initial value of the pressure is $10[$m$].$ The

f

low valve is slowly opened to let water flow out which causes a drop in pressure. The

soil column is periodically weighed for every $1[$m$]$ drop in the pressure valve. Once the

bottom pressure drops to $5[$m$],$ a small hole is drilled at the top of the container, and

the experiment is continued until the bottom pressure reaches $0[$m$].$

$($a$)$ Plot the change in weight of the soil column as a function of the bottom pressure

for the bottom pressure range between $10[$m$]$ and $0[$m$].$

$($b$)$ If no hole was drilled at the top of the container when the bottom pressure reaches

$5[$m$],$ what will the plot in $($a$)$ look like.

Make suitable assumptions for parameters of soil, water, etc.