GATE 2019 Soil Mechanics Quiz 6

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Question 1

Which of the following statement is TRUE for the relation between discharge velocity and seepage velocity?

• ASeepage velocity is always smaller than discharge velocity
• BSeepage velocity can never be smaller than discharge velocity
• CSeepage velocity is equal to the discharge velocity
• DNo relation between seepage velocity and discharge velocity can be established.

Question 2

For a saturated sand deposit, the void ratio and the specific gravity of solids are 0.70 and 2.67, respectively. The critical (upward) hydraulic gradient for the deposit would be

• A0.54
• B0.98
• C1.02
• D1.87

Question 3

The soil profile below a lake with water level at elevation = 0 m and lake bottom at elevation = –10 m is shown in the figure, where k is the permeability coefficient. A piezometer (stand pipe) installed in the sand layer shows a reading of +10 m elevation. Assume that the piezometric head is uniform in the sand layer. The quantity of water (in m³/s) flowing into the lake from the sand layer through the silt layer per unit area of the lake bed is:

• A1.5 × 10^–6
• B2.0 × 10^–6
• C0.5 × 10^–6
• D1 × 10^–6

Question 4

A 1:50 scale model of a spillway is to be tested in the laboratory. The discharge in the prototype is 1000M³/s. The discharge to be maintained in the model test is

• A0.0565m³/s
• B0.08m³/s
• C0.57m³/s
• D5.7m³/s

Question 5

An unit volume of a mass of saturated soil is subjected to horizontal seepage. The saturated unit weight is 22 kN/m³ and the hydraulic gradient is 0.3. The resultant body force on the soil mass is

• A1.98 kN
• B6.6 kN
• C11.49 kN
• D22.97 kN

Question 6

For a two –dimensional irrotational flow, the velocity potential is defined as ϕ =ln (x² + y²). Which of the following is a possible stream function , for this flow?

• A
• B
• C
• D

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