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Recent questions tagged gatecivil-2022-set2
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41
GATE Civil 2022 Set 2 | Question: 29
A post-tensioned concrete member of span $15 \; \text(m)$ and cross-section of $450 \; \text{mm} \times 450 \; \text{mm}$ is prestressed with three steel tendons, each of cross-sectional area $200 \; \text{mm}^{2}.$ The tendons are tensioned one after another to a ... is $14.16 \; \text{MPa}$ $7.08 \; \text{MPa}$ $28.32 \; \text{MPa}$ $42.48 \; \text{MPa}$
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42
GATE Civil 2022 Set 2 | Question: 32
A $100 \; \text{mg}$ of $\text{HNO}_{3}$ (strong acid) is added to water, bringing the final volume to $1.0 \; \text{liter}.$ Consider the atomic weights of $\text{H, N,}$ and $\text{O,}$ ... $\text{pH}$ of this water is (Ignore the dissociation of water.) $2.8$ $6.5$ $3.8$ $8.5$
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43
GATE Civil 2022 Set 2 | Question: 33
In a city, the chemical formula of biodegradable fraction of municipal solid waste $\text{(MSW)}$ is $\text{C}_{100} \text{H}_{250} \text{O}_{80} \text{N}.$ The waste has to be treated by forced-aeration composting process for which air requirement has to ... (in $\text{m}^{3}/\text{tonne}$) will be (round off to the nearest integer) $4749$ $8025$ $1418$ $1092$
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44
GATE Civil 2022 Set 2 | Question: 34
A single-lane highway has a traffic density of $40 \; \text{vehicle/km}.$ If the time-mean speed and space-mean speed are $40 \; \text{kmph}$ and $30 \; \text{kmph},$ respectively, the average headway $\text{(in seconds)}$ between the vehicles is $3.00$ $2.25$ $8.33 \times 10^{-4}$ $6.25 \times 10^{-4}$
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45
GATE Civil 2022 Set 2 | Question: 35
Let $y$ be a non-zero vector of size $2022 \times 1.$ Which of the following statement(s) is/are $\text{TRUE}?$ $yy^{T}$ is a symmetric matrix. $y^{T}y$ is an eigenvalue of $yy^{T}.$ $yy^{T}$ has a rank of $2022.$ $yy^{T}$ is invertible.
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46
GATE Civil 2022 Set 2 | Question: 36
Which of the following statements(s) is/are correct? If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that ... loaded by the $\text{M/EI}$ diagram of the real beam is equal to the corresponding deflection of the real beam.
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47
GATE Civil 2022 Set 2 | Question: 37
Water is flowing in a horizontal, frictionless, rectangular channel. A smooth hump is built on the channel floor at a section and its height is gradually increased to reach choked condition in the channel. The depth of water at this section ... . In choked condition, $y_{1}$ increases if the flow is supercritical and decreases if the flow is subcritical.
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48
GATE Civil 2022 Set 2 | Question: 38
The concentrations $s(x,t)$ of pollutants in a one-dimensional reservoir at position $x$ and time $t$ satisfies the diffusion equation $\frac{\partial s (x,t)}{\partial t} = D \frac{\partial^{2}s (x,t)}{\partial x^{2}}$ ... $x=\dfrac{L}{2}$ of the reservoir (in $\mu \text{mol/m}$) is ______________. (in integer)
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49
GATE Civil 2022 Set 2 | Question: 39
A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals $4$ in exactly two of the three attempts is _______. (round off to three decimal places)
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50
GATE Civil 2022 Set 2 | Question: 40
Consider two linear elastic rods $HI$ and $IJ$, each of length $b$, as shown in the figure. The rods are co-linear, and confined between two fixed supports at $H$ and $J.$ Both the rods are initially stress free. The coefficient of linear thermal ... to zero, the value of the external force $P$ (in $\text{N}$) is ____________ . (round off to the nearest integer)
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51
GATE Civil 2022 Set 2 | Question: 41
The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams $UV$ and $WX$ are connected with the help of the vertical linear spring constant $k= 20 \; \text{kN/m}.$ The fixed ... $Q$ (in $\text{kN}$) is __________.(round off to the nearest integer)
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52
GATE Civil 2022 Set 2 | Question: 42
A uniform rod $KJ$ of weight $w$ shown in the figure rests against a frictionless vertical wall at the point $K$ and a rough horizontal surface at point $J.$ It is given that $w = 10 \; \text{kN}, a = 4 \; \text{m}$ ... of static friction that is required at the point $J$ to hold the rod in equilibrium is _________. (round off to three decimal places)
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53
GATE Civil 2022 Set 2 | Question: 43
The activities of a project are given in the following table along with their durations and dependency. ... $\text{E}$ (in $\textbf{days}$) is ___________. (in integer)
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54
GATE Civil 2022 Set 2 | Question: 44
A group of total $16$ piles are arranged in a square grid format. The center-to-center spacing $(s)$ between adjacent piles is $3 \; \text{m}.$ The diameter $(d)$ and length of embedment of each pile are $1 \; \text{m}$ and ... value of the pile group capacity (in $\text{kN}$) in the vertical downward direction is _______. (round off to the nearest integer)
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55
GATE Civil 2022 Set 2 | Question: 45
A saturated compressible clay layer of thickness $h$ is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point $\text{P},$ which is located at the mid-depth of the clay layer, ... $\text{P}$ is ___________. (in integer)
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56
GATE Civil 2022 Set 2 | Question: 46
A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the discharge in the channel is $30 \; \text{m}^{3}\text{/s}$ and the ... the jump is ______________. (round off to two decimal places) (Consider the acceleration due to gravity as $10 \; \text{m/s}^{2}$.)
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57
GATE Civil 2022 Set 2 | Question: 47
A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop on this field are $120 \; \text{days}$ and $144\; \text{cm},$ respectively. Water application efficiency ... $= 9810 \; \text{N/m}^{3}$)
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58
GATE Civil 2022 Set 2 | Question: 48
Two discrete spherical particles ($\text{P}$ and $\text{Q}$) of equal mass density are independently released in water. Particle $\text{P}$ and particle $\text{Q}$ have diameters of $0.5 \; \text{mm}$ and $1.0 \; \text{mm},$ ... force on partial $\text{Q}$ will be _____________ times the drag force on particle $\text{P}.$ (round off to the nearest integer)
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59
GATE Civil 2022 Set 2 | Question: 49
At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found to be $10\%.$ The ideal moisture content for composting this ... water to be added to this mixture to bring its moisture content to the ideal condition is ___________metric ton. (in integer)
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60
GATE Civil 2022 Set 2 | Question: 50
A sewage treatment plant receives sewage at a flow rate of $5000 \; \text{m}^{3}\text{/day}.$ The total suspended solids $\text{(TSS)}$ concentration in the sewage at the inlet of primary clarifier is $200 \; \text{mg/L}$. After the ... daily volume of the thickened sludge (in $\text{m}^{3}\text{/day}$) will be ___________.(round off to the nearest integer)
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61
GATE Civil 2022 Set 2 | Question: 51
A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{S = 32, O = 16}.$ The equivalent $\text{SO}_{2}$ concentration (in $\mu \text{g/m}^{3}$) will be _________. (round off to the nearest integer)
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62
GATE Civil 2022 Set 2 | Question: 52
A parabolic vertical crest curve connects two road segments with grades $+1.0 \%$ and $-2.0 \%.$ If a $200 \; \text{m}$ stopping sight distance is needed for a driver at a height of $1.2 \; \text{m}$ to avoid an obstacle of height $0.15 \; \text{m},$ then the minimum curve length should be _________ $\text{m}$. (round off to the nearest integer)
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63
GATE Civil 2022 Set 2 | Question: 53
Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams $\text{(P)}$ and $\text{(Q)}$ as shown in the schematic is _________ $\text{kmph}$ ...
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64
GATE Civil 2022 Set 2 | Question: 54
It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fine aggregate are $2.6$ and $2.4,$ respectively. The bulk specific gravity of the mix is $2.3.$ The percentage air voids in the mix is _______________. (round off to the nearest integer)
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GATE Civil 2022 Set 2 | Question: 55
The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is for East-West and the West-East through movements, and the second phase is for ... length (in $\text{seconds}$), as per the Webster's method, is ____________.(rounds off to the nearest integer)
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