Questions 871–880 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 88 of 130

Question 36

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Water flows at the rate of 12 m³/s in a 6 m wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is 30 cm (just before the jump). Considering acceleration due to gravity as 9.81 m/s² and density of water as 1000 kg/m³, the energy loss in the jump is
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Question 36

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Crops are grown in a field having soil, which has field capacity of 30% and permanent wilting point of 13%. The effective depth of root zone is 80 cm. Irrigation water is supplied when the average soil moisture drops to 20%. Consider density of the soil as 1500 kg/m³ and density of water as 1000 kg/m³. If the daily consumptive use of water for the crops is 2 mm, the frequency of irrigating the crops (in days), is
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Question 37

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A water supply scheme transports 10 MLD (Million Litres per Day) water through a 450 mm diameter pipeline for a distance of 2.5 km. A chlorine dose of 3.50 mg/litre is applied at the starting point of the pipeline to attain a certain level of disinfection at the downstream end. It is decided to increase the flow rate from 10 MLD to 13 MLD in the pipeline. Assume exponent for concentration, n = 0.86. With this increased flow, in order to attain the same level of disinfection, the chlorine dose (in mg/litre) to be applied at the starting point should be
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Question 37

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Alkalinity of water, in equivalent/litre (eq/litre), is given by

Where, represents concentration in mol/litre. For a water sample, the concentrations of HCO₃⁻ = 2×10⁻³ mol/litre, CO₃²⁻ = 3.0 × 10⁻⁴ mol/litre and the pH of water = 9.0. The atomic weights are: Ca = 40; C = 12; and O = 16. If the concentration of OH⁻ and H⁺ are NEGLECTED, the alkalinity of the water sample (in mg/litre as CaCO₃), is
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Question 38

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An open traverse PQRS is surveyed using theodolite and the consecutive coordinates obtained are given in the table.
Line
Northing (m)
Southing (m)
Easting (m)
Westing (m)
PQ
110.2
-
45.5
-
QR
80.6
-
-
60.1
RS
-
90.7
-
70.8
ST
-
105.4
55.5
-
If the independent coordinates (North, East) of station P are (400 m, 200 m), the independent coordinates (in m) of station T, are
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Question 38

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A theodolite was set up at a station P. The angle of depression to a vane 2 m above the foot of a staff held at another station Q was 45°. The horizontal distance between stations P and Q is 20 m. The staff reading at a benchmark S of RL 433.050 m is 2.905 m. Neglecting the errors due to curvature and refraction, the RL of the station Q (in m, is
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Question 39

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If C represents a line segment between (0,0,0) and (1,1,1) in Cartesian coordinate system, the value (expressed as integer) of the line integral

is ____________.

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Question 39

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The Fourier series to represent

for

is given by

The value of

(round off to two decimal places), is

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Question 40

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Consider the system of equations

The value of

(round off to the nearest integer), is ____________.

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Question 40

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The diameter and height of a right circular cylinder are 3 cm and 4 cm, respectively. The absolute error in each of these two measurements is 0.2 cm. The absolute error in the computed volume (in cm³, round off to three decimal places), is

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