GATE CE kind:question PYQs & Answers — Page 91 — Exam Papers

Questions 901–910 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 91 of 130

A circular water tank of 2 m diameter has a circular orifice of diameter 0.1 m at the bottom. Water enters the tank steady at a flow rate of 20 litre/s and escapes through the orifice. The coefficient of discharge of the orifice is 0.8. Consider the acceleration due to gravity as 9.81 m/s

and neglect frictional losses. The height of the water level (in m, round off to two decimal places) in the tank at the steady state, is _____.

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A concrete dam holds 10 m of static water as shown in the figure (not drawn to the scale). The uplift is assumed to vary linearly from full hydrostatic head at the heel, to zero at the toe of dam. The coefficient of friction between the dam and foundation soil is 0.45. Specific weights of concrete and water are 24 kN/m³ and 9.81 kN/m³, respectively. For NO sliding condition, the required minimum base width B (in m, round off to two decimal places) is ________.

Diagram for Civil Engineering question 51

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Surface Overflow Rate (SOR) of a primary settling tank (discrete settling) is 2000 litre/m

per day. Kinematic viscosity of water in the tank is 1.01×10

cm

/s. Specific gravity of the settling particles is 2.64. Acceleration due to gravity is 9.81 m/s

. The minimum diameter (in μm, round off to one decimal place) of the particles that will be removed with 80% efficiency in the tank, is _____.

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The ion product of water (pK_w) is 14. If a rain water sample has a pH of 5.6, the concentration of OH⁻ in the same (in 10⁻⁹ mol/litre, round off to one decimal place), is ________.

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A gaseous chemical has a concentration of 41.6 μmol/m

in air at 1 atm pressure and temperature 293 K. The universal gas constant

is 82.05×10

(m

atm)/(mol K). Assuming that ideal gas law is valid, the concentration of the gaseous chemical (in ppm, round off to one decimal place), is _____.

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A waste to energy plant burns dry solid waste of composition: Carbon = 35%, Oxygen = 26%, Hydrogen = 10%, Sulphur = 6%, Nitrogen = 3% and Inerts = 20%. Burning rate is 1000 tonnes/d. Oxygen in air by weight is 23%. Assume complete conversion of Carbon to CO₂, Hydrogen to H₂O, Sulphur to SO₂ and Nitrogen to NO₂.

Given Atomic weights: H = 1, C = 12, N = 14, O = 16, S = 32

The stoichiometric (theoretical) amount of air (in tonnes/d, round off to the nearest integer) required for complete burning of this waste, is ________.

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A stream with a flow rate of 5 m

/s is having an ultimate BOD of 30 mg/litre. A wastewater discharge of 0.20 m

/s having BOD

of 500 mg/litre joins the stream at a location and instantaneously gets mixed up completely. The cross-sectional area of the stream is 40 m

which remains constant. BOD exertion rate constant is 0.3 per day (logarithm base e). The BOD (in mg/litre, round off to two decimal places) remaining at 3 km downstream from the mixing location, is _____.

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A sample of water contains an organic compound C₈H₁₆O₈ at a concentration of 10⁻³ mol/litre. Given that the atomic weight of C = 12 g/mol, H = 1 g/mol, and O = 16 g/mol, the theoretical oxygen demand of water (in g of O₂ per litre, round off to two decimal places), is ________.

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The lengths and bearings of a traverse PQRS are:

Segment	Length (m)	Bearing
PQ	40	80°
QR	50	10°
RS	30	210°

The length of line segment SP (in m, round off to two decimal places), is _____.

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A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff, held vertical at station B, is 7°. The horizontal distance between stations A and B is 400 m. Neglecting the errors due to curvature of earth and refraction, the RL (in m, round off to three decimal places) of station B is ________.

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