Question

An individual well discharging at a rate of 0.0001 m³/h would be classified as

• A. 0.5 l/sec
• B. 1.0 l/sec
• C. 10 l/sec
• D. \(10 \mathrm{m^3/sec}\)

Hint:

Well discharge classification:
- Low yield: \(< 1 \mathrm{l/s}\)
- Moderate: \(1-5 \mathrm{l/s}\)
- High: \(> 5 \mathrm{l/s}\)
Check units carefully: m³/h, m³/s, l/min, l/s.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This problem involves converting the discharge of a well into litres per second using standard unit conversion.

Step 2: Key Formula:
The conversion relation is \[ 1~\text{m}^3=1000~\text{L}, \qquad 1~\text{hour}=3600~\text{s}. \] Hence, \[ Q(\text{L/s})=Q(\text{m}^3/\text{h})\times\frac{1000}{3600}. \]

Step 3: Calculation:
Given, \[ Q=0.0001~\text{m}^3/\text{h} \] Converting to litres per second, \[ Q=0.0001\times\frac{1000}{3600} \] \[ Q=\frac{0.1}{3600}=2.78\times10^{-5}~\text{L/s} \] This value is much smaller than any of the given options, indicating that the numerical data in the question is inconsistent with the answer choices. As per the provided key, the intended option is 0.5 L/s.

Step 4: Final Answer:
0.5~L/s} Hence, the correct option is (A).
[0.5cm]