Question

The discharge capacity required at the outlet to irrigate 2600 ha of sugarcane, having a kor depth of 17 cm and a kor period of 30 days, is:

• A. $1.71 \, m^3/s$
• B. $2.3 \, m^3/s$
• C. $14.7 \, m^3/s$
• D. $0.18 \, m^3/s$

Hint:

Always convert hectare to $m^2$ and days to seconds when calculating irrigation discharge.

Answer 1

The Correct Option is A

Step 1: Recall the formula for discharge.
\[Q = \frac{\Delta \cdot A}{t}\] where, $\Delta =$ depth of water (m), $A =$ area (m$^2$), $t =$ time (s).

Step 2: Convert all values to the correct units.
Area = $2600 \, ha = 2.6 \times 10^7 \, m^2$.
Depth = $17 \, cm = 0.17 \, m$.
Time = $30 \, days = 2.592 \times 10^6 \, s$.

Step 3: Substitute the converted values into the discharge formula.
\[Q = \frac{0.17 \times 2.6 \times 10^7}{2.592 \times 10^6}\] \[Q = 1.71 \, m^3/s\]

Step 4: State the conclusion.
The calculated discharge capacity is $1.71 \, m^3/s$.