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Hydrology & Irrigation

Duty and Delta-Part-1

A canal was d...

Question

A canal was designed to supply the irrigation needs of 1000 ha of land growing rice of 140 days base period and having a delta of 130 cm. If the canal water is used to irrigate wheat of base period 119 days and having a delta of 50 cm, the area that can be irrigated is

A

452 ha

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B

904 ha

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C

1105 ha

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D

2210 ha

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Solution

The correct option is D 2210 ha
The discharge (Q) in the canal remains the same.

$D u t y f o r r i c e, D_{1} = \frac{1000}{Q} h a / c u m e c$

$D u t y f o r w h e a t, D_{2} = \frac{A_{2}}{Q} h a / c u m e c$

$N o w \frac{D_{1} Δ_{1}}{B_{1}} = \frac{D_{2} Δ_{2}}{B_{2}}$

$∴ A_{2} = \frac{119}{140} \times \frac{130}{50} \times 10002$

= 2210 ha

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