Question

if 5 cumec of irrigation water is required for a crop sown over an area of 5100 ha,the duty of irrigation water (ha/cumec) would be_______
(a)5100 (b)1020 (c)510 (d)102​

Answer 1

Given:

Area of the crop sown = 5100 hectares

Quantity of water required for the crop = 5cumec

To be found:

To choose the correct option for the duty of the irrigation water in ha/cumec.

Terms to be recollected:

• Duty: Duty of a crop sown is defined as the area of land irrigated with unit quantity of water.
• It is the relation between the area of crop irrigated and the quantity of water required during the entire period of cultivation.
• Irrigation Water: Irrigation water is the term given to the quantity of water required for the irrigation from the starting to the end of the cultivation.

Formula to be used:

Let the duty be denoted by 'D'.

Let the area of crop sown be denoted by 'A'.

Let the quantity of irrigation water be denoted by 'Q'.

Now, the formula used the calculate the duty of given crop is given by:

$D = A/Q$...........(1)

Solution:

Using the formula mentioned in the equation (1), and the data given in the question, the required duty of the crop sown is calculated as follows:

$D=A/Q\\D=5100/5\\D=1020$

∴ The required duty of the crop sown is option (b), i.e., $1020$ha/cumec.

Answer 2

if 5 cumec of irrigation water is required for a crop sown over an area of 5100 ha,the duty of irrigation water (ha/cumec) would be

$\underline { \green { 1020 }}$

Explanation:

$Required \: irritation \:water \: for \: a \: crop \\sown\: over \: an \: area \: of \: 5100 \: hectares(V)\\ = 5\: cumec$

$Area \: of \: the \: crop \: sown(A) = 5100 \:ha$

$\red{ Duty \: of \: irrigation \:water } \\= \frac{V}{A} \\= \frac{5100 }{5} \\= 1020$

Therefore.,

$Option \: \green { ( b ) } \:is \: correct .$

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