A farmer is growing Irish potatoes using a drip irrigation system. The spacing between the

irrigation tapes is $80$ cm while the spacing of the drippers along each tape is $30$ cm$.$ For the

irrigation of Irish potatoes, $1$ plant requires $1$ dripper. For the establishing potato crop, the

tubers are planted in rows on almost flat ridges. This makes determination of the wetted width

very difficult as there is no clearly define division of the dry and wetted soil. However, efforts

were made to estimate the wetted width per dripper to be $60$ cm$.$ For potatoes, the total root

zone depth is $60$ cm and the maximum allowable moisture depletion is $50\%.$ The soil moisture

content which is available to the potato plants is $120$ mm$/$m$.$ Given following:

$$ Average evapotranspiration $=4$ mm$/$day

$$ The average discharge per dripper is $0\mathrm{.}7$ l$/$hr

$$ Irrigation efficiency $=90\%$

$$ The ground cover reduction factor $=10\%$

$$ No water is received from other water sources other than irrigation

$$ No water for leaching the salts is applied

Determine:

a$)$ The net irrigation required per potato plant.

b$)$ The percentage wetted area.

c$)$ The irrigation frequency

d$)$ The irrigation duration