GATE CE format:nat PYQs & Answers — Page 22 — Exam Papers

Questions 211–220 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 22 of 50

A raft foundation of 30 m × 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50 % consolidation settlement in 10 minutes.

The time (in days) required for 25 % consolidation settlement of the raft foundation will be ________________. (round off to the nearest integer)

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A saturated compressible clay layer of thickness

is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point P, which is located at the mid-depth of the clay layer, were 150 kPa and 25 kPa, respectively. Construction of a building caused an additional total vertical stress of 100 kPa at P. When the vertical effective stress at P is 175 kPa, the percentage of consolidation in the clay layer at P is __________. (in integer)

Diagram for Civil Engineering question 55

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A two-hour duration storm event with uniform excess rainfall of 3 cm occurred on a watershed. The ordinates of streamflow hydrograph resulting from this event are given in the table.

Time (hours)	0	1	2	3	4	5	6	7
Streamflow (m³/s)	10	16	34	40	31	25	16	10

Considering a constant baseflow of 10 m³/s, the peak flow ordinate (in m³/s) of one-hour unit hydrograph for the watershed is ________ . (in integer)

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A hydraulic jump takes place in a 6 m wide rectangular channel at a point where the upstream depth is 0.5 m (just before the jump). If the discharge in the channel is 30 m

/s and the energy loss in the jump is 1.6 m, then the Froude number computed at the end of the jump is __________. (round off to two decimal places)

(Consider the acceleration due to gravity as 10 m/s

.)

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Two reservoirs are connected by two parallel pipes of equal length and of diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When the difference in the water levels of the reservoirs is 5 m, the ratio of discharge in the larger diameter pipe to the discharge in the smaller diameter pipe is ____________. (round off to two decimal places)

(Consider only loss due to friction and neglect all other losses. Assume the friction factor to be the same for both the pipes)

Diagram for Civil Engineering question 57

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A pump with an efficiency of 80% is used to draw groundwater from a well for irrigating a flat field of area 108 hectares. The base period and delta for paddy crop on this field are 120 days and 144 cm, respectively. Water application efficiency in the field is 80%. The lowest level of water in the well is 10 m below the ground. The minimum required horse power (h.p.) of the pump is __________. (round off to two decimal places) (Consider 1 h.p. = 746 W; unit weight of water = 9810 N/m

)

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Depth of water flowing in a 3 m wide rectangular channel is 2 m. The channel carries a discharge of 12 m³/s. Take

m/s².

The bed width (in m) at contraction, which just causes the critical flow, is ________ without changing the upstream water level. (round off to two decimal places)

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Two discrete spherical particles (P and Q) of equal mass density are independently released in water. Particle P and particle Q have diameters of 0.5 mm and 1.0 mm, respectively. Assume Stokes’ law is valid.

The drag force on particle Q will be ______ times the drag force on particle P. (round off to the nearest integer)

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A wastewater sample contains two nitrogen species, namely ammonia and nitrate. Consider the atomic weight of N, H, and O as 14 g/mol, 1 g/mol, and 16 g/mol, respectively. In this wastewater, the concentration of ammonia is 34 mg NH₃/liter and that of nitrate is 6.2 mg NO₃⁻/liter. The total nitrogen concentration in this wastewater is ______ milligram nitrogen per liter. (round off to one decimal place)

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At a municipal waste handling facility, 30 metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found to be 10%. The ideal moisture content for composting this mixture is 50%. The amount of water to be added to this mixture to bring its moisture content to the ideal condition is ______ metric ton. (in integer)

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