Question

If sensitivity of an irrigation module is 0.5, then what percent variation in outlet discharge will be caused by 50 percent variation in canal water depth?

• A. 100%
• B. 50%
• C. 25%
• D. 12.5%

Hint:

Sensitivity of outlet helps in evaluating how changes in canal water level affect the outlet discharge. A sensitivity of 1 means full change, less than 1 means partial change.

Answer 1

The Correct Option is C

Sensitivity is defined as: \[ \text{Sensitivity} = \frac{% \text{ variation in discharge}}{% \text{ variation in water depth}} \]
Given:
Sensitivity = 0.5
% variation in water depth = 50%
Step 1: Rearranging the formula
\[ % \text{ variation in discharge} = \text{Sensitivity} \times % \text{ variation in water depth} \]
Step 2: Substitute values
\[ % \text{ variation in discharge} = 0.5 \times 50 = 25% \]
Therefore, the variation in outlet discharge is \( \boxed{25%} \).