GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 33 of 65

Marks: +1, -0

10 {m}

wide rectangular channel carries a discharge of

20 {m}^{3} {/} {s}

under critical condition. Using

g=9.81 {m} \/ {s}^{2}

, the specific energy (in

{m}

, up to two decimal places) is

Solution:

E_{c}=\;{3}/{2} y_{c}

y_{c}=(\;{q^{2}}/{g})^{1 {/} 3}

Here,

\;\; q=\;{20}/{10}=2

⇒ \;\; E_{c}=\;{3}/{2}(\;{2^{2}}/{9.81})^{1 {/} 3}=1.11

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