Recent questions in Water Resources Engineering / GO Civil

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81

GATE2017 CE-1: 23
A triangular pipe network is shown in the figure. The head loss in each pipe is given by $h_f = rQ^{1.8}$, with the variables expressed in a consistent set of units. The value of $r$ for the pipe $AB$ is $1$ and for the pipe $BC$ is $2$. If the ... is equally divided between the pipes $AB$ and $AC$, the value of $r$ (up to two decimal places) for the pipe $AC$ should be _______

A triangular pipe network is shown in the figure.The head loss in each pipe is given by $h_f = rQ^{1.8}$, with the variables expressed in a consistent set of units. The v...

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82

GATE2017 CE-1: 24
The ordinates of a $2$-hour unit hydrograph for a catchment are given as $\begin{array}{llllll} \text{Time (h)} & 0 & 1 & 2 & 3 & 4 \\ \text{Ordinate } (m^3/s) & 0 & 5 & 12 & 25 & 41 \end{array}$ The ordinate (in $m^3/s$) of a $4$-hour unit hydrograph for this catchment at the time of $3$ h would be _________

The ordinates of a $2$-hour unit hydrograph for a catchment are given as$$\begin{array}{llllll} \text{Time (h)} & 0 & 1 & 2 & 3 & 4 \\ \text{Ordinate } (m^3/s) & 0 & 5 &...

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83

GATE2017 CE-1: 30
Group I contains three broad classes of irrigation supply canal outlets, Group II presents hydraulic performance attributes. ... $P - 2; \: Q - 3; \: R - 1$ $P - 1; \: Q - 3; \: R - 2$

Group I contains three broad classes of irrigation supply canal outlets, Group II presents hydraulic performance attributes.$$\begin{array}{|ll|ll|} \hline {} & \text{Gro...

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84

GATE2017 CE-1: 31
A $1$ m wide rectangular channel has a bed slope of $0.0016$ and the Manning’s roughness coefficient is $0.04$ Uniform flow takes the place in the channel at a flow depth of $0.5$m. At a particular section, gradually varied flow (GVF) is observed and the flow depth is measured as $0.6$ m. The GVF profile at section is classified as $S_1$ $S_2$ $M_1$ $M_2$

A $1$ m wide rectangular channel has a bed slope of $0.0016$ and the Manning’s roughness coefficient is $0.04$ Uniform flow takes the place in the channel at a flow dep...

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85

GATE2017 CE-1: 48
A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure. It is observed that the depth of flow is $1.0$ m upstream of the gate, while the depth is $0.2$ m downstream of the gate. Assuming a smooth flow transition ... gravity $10 \: m/s^2$, the discharge (in $m^3/s$, up to two decimal places) passing under the sluice gate is ___________

A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure.It is observed that the depth of flow is $1.0$ m upstream of the gate,...

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86

GATE2017 CE-1: 49
Water flows through a $90^{\circ}$ bend in a horizontal plane as depicted in the figure. A pressure of $140$ kPa is measured at Section $1-1$. The inlet diameter marked at Section $1-1$ is $\frac{27}{\sqrt{\pi}}$ cm, while the nozzle ... bend is negligible. The magnitude of the force (in kN, up to two decimal places) that would be required to hold the pipe section is __________

Water flows through a $90^{\circ}$ bend in a horizontal plane as depicted in the figure.A pressure of $140$ kPa is measured at Section $1-1$. The inlet diameter marked at...

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87

GATE2017 CE-1: 51
An effective rainfall of $2$-hour duration produced of flood hydrograph peak of $200 \: m^3/s$. The flood hydrograph has a base flow of $20 \: m^3/s$. If the spatial average rainfall in the watershed for the duration of storm is $2$ cm and the average loss rate is $0.4$ cm/hour, the peak of $2$-hour unit hydrograph (in $m^3/s-cm$ up to one decimal place) is ________

An effective rainfall of $2$-hour duration produced of flood hydrograph peak of $200 \: m^3/s$. The flood hydrograph has a base flow of $20 \: m^3/s$. If the spatial aver...

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88

GATE2017 CE-1: 53
The spherical grit particles, having a radius of $0.01$ mm and specific gravity of $3.0$, need to be separated in a settling chamber. It is given that $g=9.81 \: m/s^2$ the density of the liquid in the settling chamber $=1000 \: kg/m^3$ the ... settling chamber $=10^{-6} \: m^2/s$ Assuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is __________

The spherical grit particles, having a radius of $0.01$ mm and specific gravity of $3.0$, need to be separated in a settling chamber. It is given that$g=9.81 \: m/s^2$the...

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89

GATE2015-2-16
The relationship between the length scale ratio $(L_r)$ and the velocity scale ratio $(V_r)$ in the hydraulic models, in which Froude dynamic similarity is maintained is: $V_r=L_r \\$ $L_r=\sqrt{V_r} \\$ $V_r= L_r^{1.5} \\$ $V_r=\sqrt{L_r}$

The relationship between the length scale ratio $(L_r)$ and the velocity scale ratio $(V_r)$ in the hydraulic models, in which Froude dynamic similarity is maintained is:...

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90

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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91

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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92

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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93

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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94

GATE2015-2-42
A field channel has cultivable commanded are of $2000$ hectares. The intensities of irrigation for gram and wheat are $30 \%$ and $50\%$ respectively. Gram has a kor period of $18$ days, kor depth of $12$ cm, while wheat has a kor period of $18$ ... cm. The discharge (in $m^3/s$) required in the filed channel to supply water to the commanded area during the kor period is ________.

A field channel has cultivable commanded are of $2000$ hectares. The intensities of irrigation for gram and wheat are $30 \%$ and $50\%$ respectively. Gram has a kor peri...

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95

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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96

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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97

GATE2015-2-45
The average surface area of a reservoir in the month of June is $20 \: km^2$. In the same month, the average rate of inflow is $10 \: m^3/s$, outflow rate is $15 \: m^3/s$, monthly rainfall is $10$ cm, monthly seepage loss is $1.8$ cm and the storage change is $16 \: million \: m^3$. The evaporation (in cm) in that month is: $46.8$ $136.0$ $13.6$ $23.4$

The average surface area of a reservoir in the month of June is $20 \: km^2$. In the same month, the average rate of inflow is $10 \: m^3/s$, outflow rate is $15 \: m^3/s...

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98

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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99

GATE2015-1-12
Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity? Seepage velocity is always smaller than discharge velocity Seepage velocity can never be smaller than discharge velocity Seepage velocity is equal to the discharge velocity No relation between Seepage velocity and discharge velocity can be established

Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?Seepage velocity is always smaller than discharge velocitySeepa...

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100

GATE2015-1-16
In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies as $\rho = \dfrac{1}{x}$. Which of the following is a valid expression for the velocity component in the $y$ – direction, $v_y$? $v_y= \:– x/y$ $v_y = x/y$ $v_y = \:-xy$ $v_y = xy$

In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies a...

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101

GATE2015-1-17
For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be: from higher to lower elevation from higher to lower pressure from higher to lower velocity from higher to lower piezometric head

For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be:from higher to lower elevationfrom higher to lower ...

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102

GATE2015-1-18
A circular pipe has a diameter of $1$ m, bed slope of $1$ in $1000$, and Manning's roughness coefficient equal to $0.01$. It may be treated as an open channel flow when it is flowing just full, i.e., the water level just touches the crest. The discharge in this condition is denoted ... by $Q_{\text{half}}$. The ratio $Q_{\text{full}} / Q_{\text{half}}$ is $1$ $\sqrt{2}$ $2$ $4$

A circular pipe has a diameter of $1$ m, bed slope of $1$ in $1000$, and Manning’s roughness coefficient equal to $0.01$. It may be treated as an open channel flow when...

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103

GATE2015-1-43
Two reservoirs are connected through a $930$ m long, $0.3$ m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient $=0.5$) and the valve is half-open (loss coefficient $=5.5$). The head difference between the two reservoirs is $20$ m. ... $0.03$ and $g=10\:m/s^2$. The discharge in the pipe accounting for all minor and major losses is ___________ $m^3/s$.

Two reservoirs are connected through a $930$ m long, $0.3$ m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient $=0.5$) and the valve is ...

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104

GATE2015-1-44
A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectively. The pre-jump velocity is ________ m/s. (use $g=10\:m/s^2$)

A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectivel...

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105

GATE2015-1-45
A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$ and its Manning's roughness coefficient is $0.01$. The flow in this reach is gradually varying. ... $dy/dx$, at this section is _______ (use $g=10\:m/s^2$).

A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$...

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106

GATE2015-1-46
The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosity, $\mu$. Which of the following options represents the non-dimensional parameters which could be used to analyze this ... $\dfrac{_{\rho}VD}{\mu} \\$ $\dfrac{F_D}{_{\rho}V^3D^3}$ and $\dfrac{\mu}{_{\rho}VD}$

The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosi...

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107

GATE2015-1-47
In a catchment, there are four rain-gauge stations, $P, Q, R$, and $S$. Normal annual precipitation values at these stations are $780$ mm, $850$ mm, $920$ mm, and $980$ mm, respectively. In the year $2013$, stations $Q, R$, and $S$, were operative ... the year $2013$ were $930$ mm and $1010$ mm, respectively; what was the observed precipitation (in mm) at station $S$ for that year?

In a catchment, there are four rain-gauge stations, $P, Q, R$, and $S$. Normal annual precipitation values at these stations are $780$ mm, $850$ mm, $920$ mm, and $980$ m...

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108

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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109

GATE2014-2-44
Irrigation water is to be provided to a crop in a field to bring the moisture content of the soil from the existing $18 \%$ to the field capacity of the soil at $28 \%$. The effective root zone of the crop is $70$ cm. If the densities of the soil and water ... $1.0 \: gm/cm^3$ respectively, the depth of irrigation water (in mm) required for irrigating the crop is ________

Irrigation water is to be provided to a crop in a field to bring the moisture content of the soil from the existing $18 \%$ to the field capacity of the soil at $28 \%$. ...

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110

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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111

GATE2014-2-41
A horizontal nozzle of $30$ mm diameter discharges a steady jet of water into the atmosphere at a rate of $15$ litres per second. The diameter of inlet to the nozzle is $100$ mm. The jet impinges normal to a flat stationary plate held close to the nozzle end. ... considering the density of water as $1000 \: kg/m^3$, the force exerted by the jet (in N) on the plate is __________

A horizontal nozzle of $30$ mm diameter discharges a steady jet of water into the atmosphere at a rate of $15$ litres per second. The diameter of inlet to the nozzle is $...

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112

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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113

GATE2014-2-43
A rectangular channel of $2.5$ m width is carrying a discharge of $4 \: m^3/s$. Considering that acceleration due to gravity as $9.81 \: m/s^2$, the velocity of flow (in m/s) corresponding to the critical depth (at which the specific energy is minimum) is _________

A rectangular channel of $2.5$ m width is carrying a discharge of $4 \: m^3/s$. Considering that acceleration due to gravity as $9.81 \: m/s^2$, the velocity of flow (in ...

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114

GATE2014-2-17
A plane flow has velocity components $u=\dfrac{x}{T_1}$, $v=-\dfrac{y}{T_2}$ and $w=0$ along $x,y$ and $z$ directions respectively, where $T_1( \neq 0)$ and $T_2 (\neq 0)$ are constants having the dimension of time. The given flow is incompressible if $T_1=-T_2 \\$ $T_1=- \dfrac{T_2}{2} \\$ $T_1=\dfrac{T_2}{2} \\$ $T_1=T_2$

A plane flow has velocity components $u=\dfrac{x}{T_1}$, $v=-\dfrac{y}{T_2}$ and $w=0$ along $x,y$ and $z$ directions respectively, where $T_1( \neq 0)$ and $T_2 (\neq 0)...

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115

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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116

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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117

GATE2014-2-20
The Muskingum model of routing a flood through a stream reach is expressed as $O_2 =K_0I_2+K_1I_1+K_2O_1$, where $K_0$, $K_1$ and $K_2$ are the routing coefficients for the concerned reach, $I_1$ and $I_2$ are the inflows to the reach, and $O_1$ and $O_2$ are the outflows from the reach ... and $2$ respectively. The sum of $K_0$, $K_1$ and $K_2$ of the model is $-1$ $-0.5$ $0.5$ $1$

The Muskingum model of routing a flood through a stream reach is expressed as $O_2 =K_0I_2+K_1I_1+K_2O_1$, where $K_0$, $K_1$ and $K_2$ are the routing coefficients for t...

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118

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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119

GATE2014-1-41
A horizontal jet of water with its cross-sectional area of $0.0028 \: m^2$ hits a fixed vertical plate with a velocity of $5$ m/s. After impact, the jet splits symmetrically in a plane parallel to the plane of the plate. The force of impact (in N) of the jet on the plate is $90$ $80$ $70$ $60$

A horizontal jet of water with its cross-sectional area of $0.0028 \: m^2$ hits a fixed vertical plate with a velocity of $5$ m/s. After impact, the jet splits symmetrica...

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120

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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