Recent questions and answers in Water Resources Engineering

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1

GATE Civil 2021 Set 2 | Question: 12
The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is $\frac{1}{2}$ $\frac{2}{3}$ $1$ $\frac{3}{2}$

go_editor asked in Fluid Mechanics Mar 1, 2021

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2

GATE Civil 2021 Set 2 | Question: 22
A $12$-hour unit hydrograph (of $\text{1 cm}$ excess rainfall) of a catchment is of a triangular shape with a base width of $144$ hour and a peak discharge of $23\text{ m}^3\text{/s}$. The area of the catchment (in $\text{km}^2, \textit{round off to the nearest integer}$) is _____________

go_editor asked in Hydrology Mar 1, 2021

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3

GATE Civil 2021 Set 2 | Question: 23
A lake has a maximum depth of $\text{60 m}$. If the mean atmospheric pressure in the lake region is $\text{91 kPa}$ and the unit weight of the lake water is $\text{9790 N/m}^{3}$, the absolute pressure (in $\text{kPa}, \textit{round off to two decimal places}$) at the maximum depth of the lake is ___________________

go_editor asked in Fluid Mechanics Mar 1, 2021

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GATE Civil 2021 Set 2 | Question: 31
A rectangular open channel of $\text{6 m}$ width is carrying a discharge of $20 \text{ m$^{3}$/s}$. Consider the acceleration due to gravity as $ ... the given discharge will then be $\text{0.82 m}$ $\text{1.04 m}$ $\text{2.56 m}$ $\text{3.18 m}$

go_editor asked in Hydraulics Mar 1, 2021

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5

GATE Civil 2021 Set 2 | Question: 33
A water filtration unit is made of uniform-size sand particles of $\text{0.4 mm}$ diameter with a shape factor of $0.84$ and specific gravity of $2.55$. The depth of the filter bed is $\text{0.70 m}$ and the porosity is $0.35$. The filter bed is to be expanded to a ... $6.35 \times 10^{-3}\text{ m/s}$ $0.69 \text{ cm/s}$ $0.75 \text{ cm/s}$

go_editor asked in Hydrology Mar 1, 2021

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GATE Civil 2021 Set 2 | Question: 40
A fire hose nozzle directs a steady stream of water of velocity $\text{50 m/s}$ at an angle of $45^{\circ}$ above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and ... ) reached by the stream above the hose nozzle will then be __________

go_editor asked in Fluid Mechanics Mar 1, 2021

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7

GATE Civil 2021 Set 2 | Question: 48
The hyetograph in the figure corresponds to a rainfall event of $\text{3 cm}$. If the rainfall event has produced a direct runoff of $\text{1.6 cm}$, the $\phi$-index of the event (in $\text{mm/hour},\textit{round off to one decimal place}$) would be

go_editor asked in Hydrology Mar 1, 2021

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8

GATE Civil 2021 Set 2 | Question: 49
A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of $\text{20 cm}$ diameter. Assume $g=9.8\text{ m/s}^{2}$ ... $\text{lps}$, round off to two decimal places) considering no loss in the venturimeter is ______________________

go_editor asked in Fluid Mechanics Mar 1, 2021

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9

GATE Civil 2021 Set 2 | Question: 50
A reservoir with a live storage of $300$ million cubic metre irrigates $40000$ hectares ( $1$ hectare= $10^{4}\text{ m}^{2}$) of a crop with two fillings of the reservoir. If the base period of the crop is $120$ days, the duty for this crop (in hectares per cumec, $\textit{round off to integer}$) will then be _________

go_editor asked in Irrigation Mar 1, 2021

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10

GATE Civil 2021 Set 1 | Question: 9
If water is flowing at the same depth in most hydraulically efficient triangular and rectangular channel sections then the ratio of hydraulic radius of triangular section to that of rectangular section is $\frac{1}{\sqrt{2}}$ $\sqrt{2}$ $1$ $2$

Arjun asked in Hydraulics Feb 20, 2021

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11

GATE Civil 2021 Set 1 | Question: 10
‘Kinematic viscosity’ is dimensionally represented as $\frac{M}{LT}$ $\frac{M}{L^{2}T}$ $\frac{T^{2}}{L}$ $\frac{L^{2}}{T}$

Arjun asked in Fluid Mechanics Feb 20, 2021

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12

GATE Civil 2021 Set 1 | Question: 24
Two reservoirs are connected through a homogeneous and isotropic aquifer having hydraulic conductivity $\text{(K)}$ of $25$ $\text{m}$/day and effective porosity $\left ( \eta \right )$ of $0.3$ as shown in the figure (not to scale ... , $\textit{round off to one decimal place}$) taken by the contaminated water to reach to Reservoir $2$ will be _______________

Arjun asked in Hydrology Feb 20, 2021

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13

GATE Civil 2021 Set 1 | Question: 32
A fluid flowing steadily in a circular pipe of radius $\text{R}$ has a velocity that is everywhere parallel to the axis (centerline) of the pipe. The velocity distribution along the radial direction is $V_{r}=U\left ( 1-\dfrac{r^{2}}{R^{2}} \right )$, where $\text{r}$ ... fluid in the pipe is $\frac{U}{2}$ $\frac{U}{3}$ $\frac{U}{4}$ $\left(\frac{5}{6}\right)U$

Arjun asked in Hydraulics Feb 20, 2021

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14

GATE Civil 2021 Set 1 | Question: 48
An unlined canal under regime conditions along with a silt factor of $1$ has a width of flow $71.25 \;\text{m}$. Assuming the unlined canal as a wide channel, the corresponding average depth of flow (in $\text{m}$, $\textit{round off to two decimal places}$) in the canal will be __________________

Arjun asked in Irrigation Feb 20, 2021

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15

GATE Civil 2021 Set 1 | Question: 49
A cylinder $\text{(2.0 m diameter, 3.0 m long and 25 kN weight)}$ is acted upon by water on one side and oil $\text{(specific gravity=0.8)}$ on other side as shown in the figure. The absolute ratio of the net magnitude of vertical forces to the net magnitude of horizontal forces ($\textit{round off to two decimal places}$) is _____________________

Arjun asked in Fluid Mechanics Feb 20, 2021

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16

GATE Civil 2021 Set 1 | Question: 50
A tube-well of $20\text{ cm}$ diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of $30 \text{ m}$ ... $\text{m/day}, \textit{round off to integer}$) is ________________

Arjun asked in Hydrology Feb 20, 2021

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17

GATE2020-CE-1-12
Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. This law is applicable to laminar flow in porous media transitional flow in porous media turbulent flow in porous media laminar as well as turbulent flow in porous media

go_editor asked in Fluid Mechanics Feb 28, 2020

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18

GATE2020-CE-1-14
Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figure The velocity potential $(\phi)$, is $\pm U(x\sin\theta+y\cos\theta)$ $\pm U(y\sin\theta-x\cos\theta)$ $\pm U(x\sin\theta-y\cos\theta)$ $\pm U(y\sin\theta+x\cos\theta)$

go_editor asked in Hydraulics Feb 28, 2020

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19

GATE2020-CE-1-15
The data for an agricultural field for a specific month are given below: ... $mm$) to be applied to the field in that month, is $0$ $20$ $40$ $80$

go_editor asked in Hydrology Feb 28, 2020

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20

GATE2020-CE-1-16
During chlorination process, aqueous (aq) chlorine reacts rapidly with water to form $Cl^-,HOCl$, and $H^+$ as shown below $Cl_2(aq)+H_2O\:{\large\rightleftharpoons}\:HOCl+Cl^-+H^+$ The most active disinfectant in the chlorination process from amongst the following, is $H^+$ $HOCl$ $Cl^-$ $H_2O$

go_editor asked in Hydrology Feb 28, 2020

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21

GATE2020-CE-1-17
An amount of $35.67\:mg\:HCl$ is added to distilled water and the total solution volume is made to one litre. The atomic weights of $H$ and $Cl$ are $1$ and $35.5$, respectively. Neglecting the dissociation of water, the pH of the solution, is $3.50$ $3.01$ $2.50$ $2.01$

go_editor asked in Water Resources Engineering Feb 28, 2020

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22

GATE2020-CE-1-24
A $4\:m$ wide rectangular channel carries $6\:m^3/s$ of water. The Manning’s ‘$n$’ of the open channel is $0.02$. Considering $g=9.81\:m/s^2$, the critical velocity of flow (in $m/s$, round off to two decimal places ) in the channel, is ____________.

go_editor asked in Hydraulics Feb 28, 2020

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23

GATE2020-CE-1-36
Water flows at the rate of $12\:m^3/s$ 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 $9.81\:m/s^2$ and density of water as $1000\:kg/m^3$, the energy loss in the jump is $114.2\:kW$ $114.2\:MW$ $141.2\:h.p.$ $141.2\:J/s$

go_editor asked in Hydraulics Feb 28, 2020

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24

GATE2020-CE-1-37
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 chlorine dose (in $mg/litre$) to be applied at the starting point should be $3.95$ $4.40$ $4.75$ $5.55$

go_editor asked in Fluid Mechanics Feb 28, 2020

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25

GATE2020-CE-1-49
Three reservoirs $P,Q$ and $R$ are interconnected by pipes as shown in the figure (not drawn to the scale). Piezometric head at the junction $S$ of the pipes is $100\:m$. Assume acceleration due to gravity as $9.81\:m/s^2$ ... height of water level in the lowermost reservoir $R$ (in $m$, round off to one decimal place) with respect to the datum, is ______.

go_editor asked in Hydrology Feb 28, 2020

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26

GATE2020-CE-1-51
A circular water tank of $2\:m$ diameter has a circular orifice of diameter $0.1\:m$ at the bottom. Water enters the tank steadily at a flow rate of $20\:litre/s$ and escapes through the orifice. The coefficient of discharge of the orifice is $0.8$. ... losses. The height of the water level (in $m$, round off to two decimal places) in the tank at the steady state, is ______.

go_editor asked in Hydraulics Feb 28, 2020

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27

GATE2020-CE-1-52
Surface Overflow Rate (SOR) of a primary settling tank (discrete settling) is $20000\:litre/m^2$ per day. Kinematic viscosity of water in the tank is $1.01\times10^{-2}\:cm^2/s$. Specific gravity of the settling particles is $2.64$. Acceleration due to ... $80\%$ efficiency in the tank, is ______.

go_editor asked in Fluid Mechanics Feb 28, 2020

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28

GATE2020 CE-2-12
Muskingum method is used in hydrologic reservoir routing hydrologic channel routing hydraulic channel routing hydraulic reservoir routing

go_editor asked in Hydrology Feb 13, 2020

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29

GATE2020 CE-2-13
Superpassage is a canal cross-drainage structure in which natural stream water flows with free surface below a canal natural stream water flows under pressure below a canal canal water flows with free surface below a natural stream canal water flows under pressure below a natural stream

go_editor asked in Irrigation Feb 13, 2020

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30

GATE2020 CE-2-14
A triangular direct runoff hydrograph due to a storm has a time base of $90$ hours. The peak flow of $60\: m^3/s$ occurs at $20$ hours from the start of the storm. The area of catchment is $300\: km^2$. The rainfall excess of the storm (in cm), is $2.00$ $3.24$ $5.40$ $6.48$

go_editor asked in Hydrology Feb 13, 2020

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31

GATE2020 CE-2-15
The velocity components in the $x$ and $y$ directions for an incompressible flow are given as $u = (-5 + 6x)$ and $v = -(9+6y)$, respectively. The equation of the streamline is $(-5+6x)-(9+6y) = \text{constant}$ $\dfrac{-5+6x}{9+6y}= \text{constant}$ $(-5+6x)(9+6y) = \text{constant}$ $\dfrac{9+6y}{-5+6x}= \text{constant}$

go_editor asked in Fluid Mechanics Feb 13, 2020

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32

GATE2020 CE-2-25
Two identically sized primary settling tanks receive water for $\text{Type-I}$ settling (discrete particles in dilute suspension) under laminar flow conditions. The Surface Overflow Rate (SOR) maintained in the two tanks are $30\ m^3/m^2.d$ and $15\: m^3/m^2.d$. ... $d_{15}$ respectively. The ratio, $\large \dfrac{d_{30}}{d_{15}}$ (round off to two decimal places), is ________.

go_editor asked in Fluid Mechanics Feb 13, 2020

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33

GATE2020 CE-2-36
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 $20\%.$ ... of water for the crops is $2\ mm$, the frequency of irrigating the crops (in days), is $7$ $10$ $11$ $13$

go_editor asked in Irrigation Feb 13, 2020

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34

GATE2020 CE-2-37
Alkalinity of water, in equivalent/litre (eq/litre), is given by ${\{HC{O_3}^-}\} + 2{\{C{O_3}^{2-}}\} + {\{OH^-\}}\ -\ {\{H^+\}}$ where, $\{\ \ \}$ represents concentration in $\text{mol/litre}$ ... and $H^+$ are NEGLECTED, the alkalinity of the water sample $\text{(in mg/litre as}\: CaCO_3),$ is $130.4$ $100.0$ $50.0$ $65.2$

go_editor asked in Water Resources Engineering Feb 13, 2020

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35

GATE2020 CE-2-49
A cast iron pipe of diameter $600\: mm$ and length $400\: m$ carries water from a tank and discharges freely into air at a point $4.5\: m$ below the water surface in the tank. The friction factor of the pipe is $0.018$. Consider acceleration due to gravity as $9.81\: m/s^2$. The velocity of the flow in pipe (in $m/s$, round off to two decimal places) is ________.

go_editor asked in Fluid Mechanics Feb 13, 2020

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36

GATE2020 CE-2-50
A hydraulic jump occurs in a triangular $\text{(V-shaped)}$ channel with side slopes $1:1$ (vertical to horizontal). The sequent depths are $0.5\: m$ and $1.5\: m$. The flow rate (in $m^3/s$, round off to two decimal places) in the channel is ________.

go_editor asked in Hydraulics Feb 13, 2020

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37

GATE2017 CE-2-7
If a centrifugal pump has an impeller speed of $N$ (in rpm), discharge $Q$ (in $m^3/s$) and the total head $H$ (in $m$), the expression for the specific speed $N_s$ of the pump is given by $N_s = \dfrac{NQ^{0.5}}{H^{0.5}} \\$ $N_s = \dfrac{NQ^{0.5}}{H}\\$ $N_s = \dfrac{NQ^{0.5}}{H^{0.75}} \\$ $N_s = \dfrac{NQ}{H^{0.5}}$

gatecse asked in Hydraulics Aug 7, 2019

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38

GATE2017 CE-2-23
During a storm event in a certain period, the rainfall intensity is $3.5$ cm/hour and the $\Phi$-index is $1.5$ cm/hour. The intensity of effective rainfall (in cm/hour, up to one decimal place) for this period is ________

gatecse asked in Hydrology Aug 7, 2019

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39

GATE2017 CE-2-24
The infiltration capacity of a soil follows the Horton's exponential model, $f=c_1+c_2e^{-kt}$. During an experiment, the initial infiltration capacity was observed to be $200$ mm/h. After a long time, the infiltration capacity was reduced $25$ mm/h. If the filtration capacity ... $k$ (in $h^{-1}$, up to two decimal places) is ________

gatecse asked in Hydrology Aug 7, 2019

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40

GATE2017 CE-2-45
The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open to atmosphere) If $5 \: cm^3$ of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be ________

gatecse asked in Fluid Mechanics Aug 7, 2019

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