Questions by Arjun / GO Civil

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361

GATE2019 CE-2: 26
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is $\dfrac{1}{x-y}$ $\dfrac{1}{y-x}$ $x-y$ $y-x$

The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is$\dfrac{1}{x-y}$$\dfrac{1}{y-x}$$x-y$$y-x$

asked Feb 12, 2019

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362

GATE2019 CE-2: 27
Consider the hemi-spherical tank of radius $13 \: m$ as shown in the figure (not drawn to the scale). What is the valume of water (in $m^3$) when the depth of water at the centre of the tank is $6 \: m$? $78 \pi$ $156 \pi$ $396 \pi$ $468 \pi$

Consider the hemi-spherical tank of radius $13 \: m$ as shown in the figure (not drawn to the scale). What is the valume of water (in $m^3$) when the depth of water at th...

asked Feb 12, 2019

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363

GATE2019 CE-2: 28
An ordinary differential equation is given below; $\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options) $y=K x \text{ ln } x$ $y=K x e^x$ $y=K x e^{-x}$ $y=K \text{ ln } x$

An ordinary differential equation is given below;$\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$The solution for the above equation is(Note: $K$ denotes a constant ...

asked Feb 12, 2019

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364

GATE2019 CE-2: 29
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle $( \theta)$ in degrees the stress element should be rotated in order to get the planes of maximum shear stress? $13.3$ $26.6$ $31.7$ $48.3$

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.By how much angle $( \theta)$ in degrees the stress e...

asked Feb 12, 2019

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365

GATE2019 CE-2: 30
The critical bending compressive stress in the extreme fibre of a structural steel section is $1000 \: MPa$. It is given that the yield strength of the steel is $250 \: MPa$, width of flange is $250 \: mm$ and thickness of flange is $15 \: mm$. As per the provisions of $IS:800-2007$, the non-dimensional slenderness ratio of the steel cross-section is $0.25$ $0.50$ $0.75$ $2.00$

The critical bending compressive stress in the extreme fibre of a structural steel section is $1000 \: MPa$. It is given that the yield strength of the steel is $250 \: M...

asked Feb 12, 2019

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366

GATE2019 CE-2: 31
In the context of provisions relating to durability of concrete, consider the following assertions: $\textbf{Assertions:(1)}: $ As per $IS \: 456-2000$, air entrainment to the extent of $3 \%$ to $6 \%$ is required for concrete exposed to marine environment. ... and Assertion (2) is FALSE Both Assertion (1) and Assertion (2) are FALSE Both Assertion (1) and Assertion (2) are TRUE

In the context of provisions relating to durability of concrete, consider the following assertions:$\textbf{Assertions:(1)}: $ As per $IS \: 456-2000$, air entrainment to...

asked Feb 12, 2019

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367

GATE2019 CE-2: 32
Chlorine is used as the disinfectant in a municipal water treatment plant. It achieves $50$ percent of disinfection efficiency measured in terms of killing the indicator microorganisms (E-Coli) in $3$ minutes. The minimum time required to achieve $99$ percent disinfection efficiency would be $9.93$ minutes $11.93$ minutes $19.93$ minutes $21.93$ minutes

Chlorine is used as the disinfectant in a municipal water treatment plant. It achieves $50$ percent of disinfection efficiency measured in terms of killing the indicator ...

asked Feb 12, 2019

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368

GATE2019 CE-2: 33
A camera with a focal length of $20$ cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is $1200 \: m$ above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of $1:8000$? $2600 \: m$ $2800 \: m$ $3000 \: m$ $3200 \: m$

A camera with a focal length of $20$ cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is $1200 \...

asked Feb 12, 2019

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369

GATE2019 CE-2: 34
A flexible pavement has the following class of loads during a particular hour of the day. $80$ buses with $2$- axles ( each axle load of $40 \: kN$) $160$ trucks with $2$-axles (front and rear axle loads of $40 \: kN$ and $80 \: kN$, respectively) The equivalent standard axle load repetitions for this vehicle combination as per $IRC:37-2012$ would be $180$ $240$ $250$ $320$

A flexible pavement has the following class of loads during a particular hour of the day.$80$ buses with $2$- axles ( each axle load of $40 \: kN$)$160$ trucks with $2$-a...

asked Feb 12, 2019

2 votes

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370

GATE2019 CE-2: 35
The inverse of the matrix $\begin{bmatrix} 2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4 \end{bmatrix}$ is $\begin{bmatrix} 10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6 \end{bmatrix} \\$ ...

The inverse of the matrix $\begin{bmatrix} 2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4 \end{bmatrix}$ is $\begin{bmatrix} 10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6 \end{bmatrix...

asked Feb 12, 2019

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371

GATE2019 CE-2: 36
A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in $kN$, round off to the nearest integer) caused at the internal hinge B due to the two loads is _________

A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...

asked Feb 12, 2019

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372

GATE2019 CE-2: 37
A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times 10^5 \: kNm/rad$. For the externally applied moment of $30 \: kNm$ at node F, the rotation (in degrees, round off to $3$ decimals) observed in the rotational spring at node H is ______

A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times...

asked Feb 12, 2019

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373

GATE2019 CE-2: 38
A rolled $I$-section beam is supported in a $75 \: mm$ wide bearing plate as shown in the figure. Thicknesses of flange and web of the $I$ section $20 \: mm$ and $8 \: mm$, respectively. Root radius of the $I$-section is $10 \: mm$. Assume: material ... $IS: 800-2007$, the web bearing strength (in $kN$, round off to $2$ decimal places) of the beam is __________

A rolled $I$-section beam is supported in a $75 \: mm$ wide bearing plate as shown in the figure. Thicknesses of flange and web of the $I$ section $20 \: mm$ and $8 \: mm...

asked Feb 12, 2019

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374

GATE2019 CE-2: 39
When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long time, the strain increases to $1000 \times 10^{-6}$. In ... with the provisions of $IS:456-2000$, considering the long-term effects, the effective modulus of elasticity of the concrete (in $MPa$) is _________

When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long ...

asked Feb 12, 2019

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375

GATE2019 CE-2: 40
A water treatment plant treats $6000 \: m^3$ of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column test indicates that an overflow rate of $1.5 \: m$ per hour would produce the desired removal of ... of $3.0 \:m$. The volume of the required clarifier, (in $m^3$, round off to $1$ decimal place) would be ______

A water treatment plant treats $6000 \: m^3$ of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column ...

asked Feb 12, 2019

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376

GATE2019 CE-2: 41
Raw municipal solid waste (MSW) collected from a city contains $70 \%$ decomposable material that can be converted to methane. The water content of the decomposable material is $35\%$. An elemental analysis of the decomposable material yields the following mass percent. ... The mass of methane produced (in grams, round off to $1$ decimal place) per kg of raw MSW will be _________

Raw municipal solid waste (MSW) collected from a city contains $70 \%$ decomposable material that can be converted to methane. The water content of the decomposable mater...

asked Feb 12, 2019

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377

GATE2019 CE-2: 42
Consider the reactor shown in the figure. The flow rate through the reactor is $Q \: m^3/h$. The concentrations (in $mg/L$) of a compound in the influent and effluent are $C_0$ and $C$, respectively. The compound is degraded in the reactor following the first order ... $L_{\text{CMFR}}/L_{\text{PFR}}$ (round off to $2$ decimal places) is ____________

Consider the reactor shown in the figure. The flow rate through the reactor is $Q \: m^3/h$. The concentrations (in $mg/L$) of a compound in the influent and effluent are...

asked Feb 12, 2019

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2 answers

378

GATE2019 CE-2: 43
A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of $6 \: m$ are $1.22, \: 1.67, \: 2.04, \: 2.34, \: 2.14, \: 1.87$, and $1.15 \:m$. The area (in $m^2$, round off to 2 decimal places) bounded by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is ________

A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of $6 \: m$ are $1.22, \: 1.67, \: 2.04, \: 2.34, \: 2.14, \:...

asked Feb 12, 2019

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379

GATE2019 CE-2: 44
The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are $20$ and $50$ vehicles/minute, respectively. For this signal, the red time is $30 \: s$, the effective green time is $30 \: s$, and the cycle ... average delay per vehicle using the approach road during a cycle length (in $s$, round off to $2$ decimal places) is __________

The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are $20$ and $50$ vehicles/minute, respectively. For this signal, ...

asked Feb 12, 2019

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380

GATE2019 CE-2: 45
A broad gauge railway line passes through a horizontal curved section (radius $=875 \:m$) of length $200 \: m$. The allowable speed on this portion is $100 \: km/h$. For calculating the cant, consider the gauge as centre-to-centre distance between ... (in $mm$, round off to $1$ decimal place) with respect to the centre-to-centre distance between the rail heads is _____________

A broad gauge railway line passes through a horizontal curved section (radius $=875 \:m$) of length $200 \: m$. The allowable speed on this portion is $100 \: km/h$. For ...

asked Feb 12, 2019

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381

GATE2019 CE-2: 46
The speed-density relationship of a highway is given as $u = 100 – 0.5 \: k$ where, $u=$ speed in $km$ per hour, $k=$ density in vehicles per $km$. The maximum flow (in vehicles per hour, round off to the nearest integer) is _______

The speed-density relationship of a highway is given as $$u = 100 – 0.5 \: k$$ where, $u=$ speed in $km$ per hour, $k=$ density in vehicles per $km$. The maximum flow (...

asked Feb 12, 2019

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382

GATE2019 CE-2: 47
A confined aquifer of $15 \: m$ constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale). The heads indicated by two piezometers P and Q are $55.2 \: m$ and $34.1 \: m$, respectively. The aquifer has a ... taken by the water to travel through the aquifer from piezometer location P to Q (in days, round off to $1$ decimal place) is ______

A confined aquifer of $15 \: m$ constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale).The heads indicated by two piezometers...

asked Feb 12, 2019

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383

GATE2019 CE-2: 48
At the foot of a spillway, water flows at a depth of $23 \: cm$ with a velocity of $8.1 \: m/s$, as shown in the figure. The flow enters as an $M-3$ profile in the long wide rectangular channel with bed slope $= \frac{1}{1800}$ and Manning's $n=0.015$ ... $y_1$ (in $m$, round off to $2$ decimal places) is _________

At the foot of a spillway, water flows at a depth of $23 \: cm$ with a velocity of $8.1 \: m/s$, as shown in the figure.The flow enters as an $M-3$ profile in the long wi...

asked Feb 12, 2019

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384

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...

asked Feb 12, 2019

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385

GATE2019 CE-2: 50
The ordinates, $u$, of a $2$-hour unit hydrograph (i.e., for $1$ ... base flow is constant at $5 \: m^3/s$, the peak flow due to this storm (in $m^3/s$, round off to $1$ decimal place) will be __________

The ordinates, $u$, of a $2$-hour unit hydrograph (i.e., for $1$ cm of effective rain), for a catchment, are shown in the table.$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c...

asked Feb 12, 2019

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386

GATE2019 CE-2: 51
The dimensions of a soil sampler are given in the table. ... $2$ decimal places) is ______________

The dimensions of a soil sampler are given in the table.$$\begin{array}{|c|c|c|} \hline \text{Parameter} & \text{Cutting edge} & \text{Sampling tube} \\ \hline \text{Insi...

asked Feb 12, 2019

0 votes

1 answer

387

GATE2019 CE-2: 52
A $2 \: m \times 4 \: m$ rectangular footing has to carry a uniformly distributed load of $120 \: kPa$. As per the $2:1$ dispersion method of stress distribution, the increment in vertical stress (in $kPa$) at a depth of $2\: m$ below the footing is _______

A $2 \: m \times 4 \: m$ rectangular footing has to carry a uniformly distributed load of $120 \: kPa$. As per the $2:1$ dispersion method of stress distribution, the inc...

asked Feb 12, 2019

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388

GATE2019 CE-2: 53
Constant head permeability tests were performed on two soil specimens, $S1$ and $S$. The ratio of height of the two specimens $(L_{S1}: L_{S2})$ is $1.5$, the ratio of the diameter of specimens $(D_{S1}: D_{S2})$ is $0.5$, and the ratio of the ... $(k_{S1}: k_{S2})$ is _____

Constant head permeability tests were performed on two soil specimens, $S1$ and $S$. The ratio of height of the two specimens $(L_{S1}: L_{S2})$ is $1.5$, the ratio of th...

asked Feb 12, 2019

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389

GATE2019 CE-2: 54
A timber pile of length $8 \: m$ and diameter $0.2 \: m$ is driven with a $20 \: kN$ drop hammer, falling freely from a height of $1.5 \: m$. The total penetration of the pile in the last $5$ blows is $40 \: mm$. Use the Engineering News Record ... to energy losses) of $2.5 \: cm$. The safe load carrying capacity of the pile (in $kN$, round off to $2$ decimal places) is __________

A timber pile of length $8 \: m$ and diameter $0.2 \: m$ is driven with a $20 \: kN$ drop hammer, falling freely from a height of $1.5 \: m$. The total penetration of the...

asked Feb 12, 2019

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390

GATE2019 CE-2: 55
A square footing of $2 \: m$ sides rests on the surface of a homogeneous soil bed having the properties: cohesion $c= 24 \: kPa$, angle of internal friction $\phi = 25^{\circ}$, and unit weight $\gamma = 18 \: kN/m^3$. Terzaghi's bearing capacity ... and $N_{\gamma}' =3.2$. The ultimate bearing capacity of the foundation (in $kPa$, round off to $2$ decimal places) is _________

A square footing of $2 \: m$ sides rests on the surface of a homogeneous soil bed having the properties: cohesion $c= 24 \: kPa$, angle of internal friction $\phi = 25^{\...

asked Feb 12, 2019