Darcy's Law

Q. Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?

1. Seepage velocity is always smaller than discharge velocity
2. Seepage velocity can never be smaller than discharge velocity
3. Seepage velocity is equal to the discharge velocity
4. No relation between Seepage velocity and discharge velocity can be established

Q. A silty-clay deposit 4 m thick lies between two layers of sand as shown below. If the coefficient of permeability of clay is $1\times {10}^{-6}cm/sec$ then the seepage through the clay is

1. $4\times {10}^{-8}{m}^3/sec/m^2$
2. $1.4\times {10}^{-8}{m}^3/sec/m^2$
3. $0.67\times {10}^{-8}{m}^3/sec/m^2$
4. $1.5\times {10}^{-8}{m}^3/sec/m^2$

Q. Match List-I (Processes) with List-II (Governing laws/equations) and select the correct answer using the codes given below the lists:
List-I·
A. Flow of water in soil
B. Flow of water through pipe
C. Sedimentation of soil particles in water
List-II
1. Boussinesq's equation
2. Darcy's law
3. Poiseuille's equation
4. Skempton's equation
5. Stoke's law
Codes:
A B C

1. 2 4 5
2. 2 3 5
3. 1 3 5
4. 2 3 4

Q. According to Darcy's law for flow through porous media, the velocity is proportional to

1. effective stress
2. hydraulic gradient
3. cohesion
4. stability number

Q. Consider the following assumptions as regards field permeability test:
1. The flow is laminar and Darcy's law is valid.
2. The flow is horizontal and uniform at all points in the vertical section.
3. The velocity of flow is proportional to the 'tangent magnitude' of the hydraulic gradient.
Which of the above assumptions are correct?

1. 1 and 2 only
2. 1 and 3 only
3. 2 and 3 only
4. 1, 2 and 3

Q. For the specimen shown in figure, if the rate of flow is $2c{m}^3/min$ and area of cross section in $8c{m}^2$, soil permeability (in cm/s) is

1. $5\times {10}^{-4}$
2. $3.5\times {10}^{-3}$
3. $5\times {10}^{-3}$
4. $0.3$