GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 41 of 65

Marks: +1, -0

The infiltration rate

f

in a basin under ponding condition is given by

f=30+10 e^{-2 t}

, where,

f

is in

{mm} \/ {h}

and

t

is time in hour. Total depth of infiltration (in

{mm}

, up to one decimal place) during the last 20 minutes of a storm of 30 minutes duration is______.

Solution:

Infiltration rate

f(t)=30+10 e^{-2 t}

Total infiltration depth in time 10 min. to 30 min. i.e.,

0.166

hour to

0.5

hour

=∫↙{0.166}↖{0.5}(30+10 e^{-2 t}) d t

=11.74 {mm}

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