Home › MCQs › Architecture Engineering › Question #2337
Back to Questions
Architecture Engineering QUESTION #2337
Question 1
According to Darcy's law, the seepage quantity \(Q\) through a soil sample of cross-sectional area \(A\), length \(L\), head difference \(\Delta h\) and permeability \(k\) is:
  • \(Q = k \cdot A \cdot \dfrac{L}{\Delta h}\)
  • \(Q = k \cdot \dfrac{\Delta h}{L} \cdot A\)(Correct)
  • \(Q = k \cdot \Delta h \cdot L \cdot A\)
  • \(Q = \dfrac{k \cdot A}{\Delta h \cdot L}\)
Correct Answer Explanation
Darcy's law: \(Q = k \cdot i \cdot A\) where the hydraulic gradient \(i = \dfrac{\Delta h}{L}\). Therefore \(Q = k \cdot \dfrac{\Delta h}{L} \cdot A\). This linear relationship is valid for laminar flow where velocity is directly proportional to hydraulic gradient.