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41

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

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 mediatransitional flow in por...

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42

GATE2014-2-45
With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stationary and identical plates that are separated by distance, h, is given by the expression ...

With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stat...

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43

GATE2019 CE-1: 50
Two water reservoirs are connected by a siphon (running full) of total length $5000$ m and diameter of $1.10$ m, as shown below (figure not drawn to scale). The inlet leg length of the siphon to its summit is $2000$ m. The difference in the water surface ... of the summit of siphon from the water level of upper reservoir, $h$ (in m, round off to $1$ decimal place) is ______

Two water reservoirs are connected by a siphon (running full) of total length $5000$ m and diameter of $1.10$ m, as shown below (figure not drawn to scale).The inlet leg ...

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44

GATE2015-2-17
A nozzle is so shaped that the average flow velocity changes linearly from $1.5$ m/s at the beginning to $15$ m/s at its end in a distance of $0.375$m. The magnitude of the convective acceleration (in $m/s^2$ ) at the end of the nozzle is ________.

A nozzle is so shaped that the average flow velocity changes linearly from $1.5$ m/s at the beginning to $15$ m/s at its end in a distance of $0.375$m. The magnitude of t...

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45

GATE2018 CE-2: 48
A rough pipe of $0.5$ m diameter, $300$ m length and roughness height of $0.25$ mm, carries water (kinematic viscosity $= 0.9 \times 10^{-6} \: m^2/s$) with velocity of $3$ m/s. Friction factor $(f)$ for laminar flow is given by $f=64/R_e$, and for ... k=roughness height and $g=9.81 \: m/s^2$. The head loss (in m, up to three decimal places) in the pipe due to friction is _______

A rough pipe of $0.5$ m diameter, $300$ m length and roughness height of $0.25$ mm, carries water (kinematic viscosity $= 0.9 \times 10^{-6} \: m^2/s$) with velocity of $...

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46

GATE2019 CE-2: 12
A solid sphere of radius, $r$, and made of material with density, $\rho_s$, is moving through the atmosphere (constant pressure, $p$) with a velocity, $v$. The net force ONLY due to atmospheric pressure $(F_p)$ acting on the sphere at any time, $t$, is $\pi r^2 p$ $4 \pi r^2 p$ $\dfrac{4}{3} \pi r^3 \rho_s \dfrac{dv}{dt}$ zero

A solid sphere of radius, $r$, and made of material with density, $\rho_s$, is moving through the atmosphere (constant pressure, $p$) with a velocity, $v$. The net force ...

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47

GATE2018 CE-2: 49
A flocculation tank contain $1800 \: m^3$ of water, which is mixed using paddles at an average velocity gradient $G$ of $100/s$. The water temperature and the corresponding dynamic viscosity are $30^{\circ}C$ and $0.798 \times 10^{-3} \: Ns/m^2$, respectively. The theoretical power required to achieve the stated value of $G$ (in kW, up to two decimal places) is _____

A flocculation tank contain $1800 \: m^3$ of water, which is mixed using paddles at an average velocity gradient $G$ of $100/s$. The water temperature and the correspondi...

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48

GATE2015-2-20
A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.

A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.

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49

GATE2019 CE-1: 14
If the path of an irrigation canal is below the bed level of a natural stream, the type of cross-drainage structure provided is Aqueduct Level crossing Sluice gate Super passage

If the path of an irrigation canal is below the bed level of a natural stream, the type of cross-drainage structure provided isAqueductLevel crossingSluice gateSuper pass...

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50

GATE2018 CE-1: 17
A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0, -1, 1)$ is ____

A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0...

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51

GATE2015-2-43
A triangular gate with a base width of $2$ m and a height of $1.5$ m lies in a vertical plane. The top vertex of the gate is $1.5$ m below the surface of a tank which contains oil of specific gravity $0.8$. Considering the density of water and acceleration due ... $9.81 m/s^2$ respectively, the hydrostatic force (in kN) exerted by the oil on the gate is _________.

A triangular gate with a base width of $2$ m and a height of $1.5$ m lies in a vertical plane. The top vertex of the gate is $1.5$ m below the surface of a tank which con...

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52

GATE2017 CE-2-49
Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ and $g$ is $9.81 \: m/s^2$, the head loss (in meters, up to one decimal place) per km length due to friction would be _______

Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ a...

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53

GATE2015-2-18
A hydraulic jump takes place in a frictionless rectangular channel. The pre-jump depth is $y_p$. The alternate and sequent depths corresponding to $y_p$ are $y_a$ and $y_s$ respectively. The correct relationship among $y_p, \: y_a$ and $y_s$ is: $y_a < y_s < y_p$ $y_p < y_s < y_a$ $y_p < y_s = y_a$ $y_p = y_s = y_a$

A hydraulic jump takes place in a frictionless rectangular channel. The pre-jump depth is $y_p$. The alternate and sequent depths corresponding to $y_p$ are $y_a$ and $y_...

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54

GATE2014-2-19
An isolated $3-h$ rainfall event on a small catchment produces a hydrograph peak and point of inflection on the falling limb of the hydrograph at $7$ hours and $8.5$ hours respectively, after the start of the rainfall. Assuming, no losses and no base flow contribution, the time of concentration (in hours) for the catchment is approximately $8.5$ $7.0$ $6.5$ $5.5$

An isolated $3-h$ rainfall event on a small catchment produces a hydrograph peak and point of inflection on the falling limb of the hydrograph at $7$ hours and $8.5$ hour...

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55

GATE2014-1-47
The potable water is prepared from turbid surface water by adopting the following treatment sequence. Turbid surface water $\rightarrow$ Coagulation $\rightarrow$ Flocculation $\rightarrow$ Sedimentation $\rightarrow$ Filtration $\rightarrow$ Disinfection ... $\rightarrow$ Coagulation $\rightarrow$ Disinfection $\rightarrow$ Filtration $\rightarrow$ Storage & Supply

The potable water is prepared from turbid surface water by adopting the following treatment sequence.Turbid surface water $\rightarrow$ Coagulation $\rightarrow$ Floccula...

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56

GATE2015-2-44
The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^2-2y-\dfrac{x^3}{3}$. The correct statement is: Fluid is incompressible and flow is irrotational Fluid is incompressible and flow is rotational Fluid is compressible and flow is irrotational Fluid is compressible and flow is rotational

The velocity components of a two dimensional plane motion of a fluid are $:u=\dfrac{y^3}{3}+2x—x^2y$ and $v=xy^2-2y-\dfrac{x^3}{3}$. The correct statement is:Fluid is i...

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57

GATE2019 CE-1: 51
Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of $1 \: cm/s$ in the x-direction. The distance between the plates is $5 \: mm$ and the dynamic viscosity ... $\dfrac {\partial p}{\partial x}$, (in $N/m^2$ per $m$, round off to $1$ decimal place) is _________

Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocit...

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58

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 $\pm U(x\sin\theta+y\cos\theta)$ $\pm U(y\sin\theta-x\cos\theta)$ $\pm U(x\sin\theta-y\cos\theta)$ $\pm U(y\sin\theta+x\cos\theta)$

Uniform flow with velocity $U$ makes an angle $\theta$ with $y$-axis, as shown in the figureThe velocity potential $(\phi)$, is $\pm U(x\sin\theta+y\cos\theta)$$\pm U(y\s...

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59

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

Superpassage is a canal cross-drainage structure in whichnatural stream water flows with free surface below a canalnatural stream water flows under pressure below a canal...

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60

GATE2019 CE-2: 49
Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and discharge freely into the atmosphere. In the second case, they are ... ratio of the discharge in the parallel arrangement to that in the series arrangement (round off to $2$ decimal places) is ________

Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in...

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61

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 ... $6.35 \times 10^{-3}\text{ m/s}$ $0.69 \text{ cm/s}$ $0.75 \text{ cm/s}$

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 ...

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62

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 $2.00$ $3.24$ $5.40$ $6.48$

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 ar...

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63

GATE2014-1-49
A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is $0.21 \: m^3/s$. Allowable velocity through the main is $0.75$ m/ ... (in $cm/100$ m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________

A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this wate...

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64

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 ________.

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 f...

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65

GATE2017 CE-2-47
A catchment is idealized as a $25 \: km \times 25 \: km$ ... . The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is ___________

A catchment is idealized as a $25 \: km \times 25 \: km$ square. It has five rain gauges, one at each corner and one at the corner, as shown in the figure.During a month,...

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66

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 $N_s = \dfrac{NQ^{0.5}}{H^{0.5}} \\$ $N_s = \dfrac{NQ^{0.5}}{H}\\$ $N_s = \dfrac{NQ^{0.5}}{H^{0.75}} \\$ $N_s = \dfrac{NQ}{H^{0.5}}$

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 t...

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67

GATE2018 CE-1: 23
A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places) is _____

A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places...

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68

GATE Civil 2013 | Question: 55
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assume that the $\phi$ – index is the same for the both the storms. The intensity of storm II (in cm/h) is $2.00$ $1.75$ $1.50$ $2.25$

At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assu...

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69

GATE2014-1-20
The dimension for kinematic viscosity is $\dfrac{L}{MT} \\$ $\dfrac{L}{T^2} \\$ $\dfrac{L^2}{T} \\$ $\dfrac{ML}{T}$

The dimension for kinematic viscosity is$\dfrac{L}{MT} \\$$\dfrac{L}{T^2} \\$$\dfrac{L^2}{T} \\$$\dfrac{ML}{T}$

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70

GATE2017 CE-1: 12
For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is linear with zero value at the plates linear with zero value at the center quadratic with zero value at the plates quadratic with zero value at the center

For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation islinear with zero value at the plateslinear with zer...

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71

GATE2014-2-18
Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use. ... $P-4; \: Q-2; \: R-1 \: S-3$ $P-4; \: Q-3; \: R-2 \: S-1$

Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use.$\begin{array}{llll} {} & \text{Group I} ...

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72

GATE2018 CE-1: 24
For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third coefficient $C_2$ would be ____

For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third co...

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73

GATE2014-1-42
A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an incompressible fluid at a steady rate of $30$ litres per second, The difference of ... as $9.81 \: m/s^2$, the coefficient of discharge of the venturimeter (correct up to two places of decimal) is ____________

A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an...

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74

GATE Civil 2013 | Question: 54
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assume that the $\phi$ – index is the same for the both the storms. The $\phi$ – index (in cm/h) is $1.2$ $1.0$ $1.6$ $1.4$

At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assu...

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75

GATE2015-1-48
The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S - curve (in $m^3/s$ ...

The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S – curve (in $m^3/s$) derived from this hydrograph?$$...

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76

GATE2015-2-46
A pipe of $0.7$ m diameter has a length of $6$ km and connects two reservoirs A and B. The water level in reservoir A is at an elevation $30$ m above the water level in reservoir B. Halfway along the pipe line, there is a branch through which water can be supplied ... to gravity as $9.81 \: m/s^2$ and neglecting minor losses, the discharge (in $m^3/s$) into the reservoir B is _______.

A pipe of $0.7$ m diameter has a length of $6$ km and connects two reservoirs A and B. The water level in reservoir A is at an elevation $30$ m above the water level in r...

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77

GATE2015-2-19
The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is: $S_y+S_\tau = \eta$ $S_y+ \eta = S_\tau$ $S_\tau+ \eta = S_y$ $S_y+ S_\tau + \eta =1$

The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is:$S_y+S_\tau = \eta$$S_y+ \eta = S_\tau$$S...

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78

GATE2014-2-42
A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure difference of $2$ m of water head and coefficient of discharge equal to unity, assuming that the energy losses are ... the flow rate (in $m^3/s$) through the pipe is approximately equal to $0.500$ $0.150$ $0.050$ $0.015$

A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure differenc...

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79

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 ______.

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 $100\:m$....

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80

GATE Civil 2013 | Question: 18
For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines passing through points $(0,3)$ and $(3,4)$ is $6$ $3$ $1.5$ $2$

For a two dimensional flow field, the stream function $\psi$ is given as $\psi = \dfrac{3}{2}(y^2-x^2)$. The magnitude of discharge occurring between the stream lines pas...

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