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Recent questions tagged gate2017ce1
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1
GATE2017 CE1: 1
The matrix $P$ is the inverse of a matrix $Q$. If $I$ denotes the identity matrix, which one of the following options is correct? $PQ=I$ but $QP \neq I$ $QP=I$ but $PQ \neq I$ $PQ=I$ and $QP= I$ $PQQP= I$
asked
Mar 26, 2018
in
Linear Algebra
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Milicevic3306
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gate2017ce1
matrixinverse
linearalgebra
engineeringmathematics
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0
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2
GATE2017 CE1: 2
The number of parameters in the univariate exponential and Gaussian distributions, repsectively, are $2$ and $2$ $1$ and $2$ $2$ and $1$ $1$ and $1$
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Mar 26, 2018
in
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gate2017ce1
engineeringmathematics
gaussiandistributions
calculus
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3
GATE2017 CE1: 3
Let $x$ be a continuous variable defined over the interval $( \infty, \infty)$, and $f(x) = e^{xe^{x}}$. The integral $g(x)= \int f(x) \: dx$ is equal to $e^{e^{x}}$ $e^{e^{x}}$ $e^{e^{x}}$ $e^{x}$
asked
Mar 26, 2018
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Milicevic3306
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11.8k
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gate2017ce1
calculus
engineeringmathematics
integrals
0
votes
0
answers
4
GATE2017 CE1: 4
An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young's modulus $E$ is fixed at the two ends. The temperature of the bar is increased by $T$, resulting in an axial stress $\sigma$. Keeping all other parameters unchanged ... , the axial stress would be $\sigma$ $2 \: \sigma$ $0.5 \: \sigma$ $0.25 \: \alpha \: \sigma$
asked
Mar 26, 2018
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by
Milicevic3306
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11.8k
points)
gate2017ce1
structuralengineering
axialstress
0
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0
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5
GATE2017 CE1: 5
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true? Maximum or minimum shear force occurs where the curvature is zero Maximum or minimum bending moment occurs where the shear force is ... minimum bending moment occurs where the curvature is zero Maximum bending moment and maximum shear force occur at the same section
asked
Mar 26, 2018
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Others
by
Milicevic3306
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11.8k
points)
gate2017ce1
structuralengineering
beams
0
votes
0
answers
6
GATE2017 CE1: 6
According to $IS \: 456  2000$, which one of the following statements about the depth of neutral axis $x_{\text{u, bal}}$ for a balanced reinforced concrete section is correct? $x_{\text{u, bal}}$ ... both the grade of concrete and grade of steel $x_{\text{u, bal}}$ does not depend on the grade of concrete and grade of steel
asked
Mar 26, 2018
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by
Milicevic3306
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11.8k
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gate2017ce1
concretestructures
structuralengineering
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0
answers
7
GATE2017 CE1: 7
The figure shows a twohinged parabolic arch of span $L$ subjected to a uniformly distributed load of intensity $q$ per unit length. The maximum bending moment in the arch is equal to $\dfrac{qL^2}{8} \\$ $\dfrac{qL^2}{12} \\$ zero $\dfrac{qL^2}{10}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
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11.8k
points)
gate2017ce1
solidmechanics
structuralengineering
bendingmoment
0
votes
0
answers
8
GATE2017 CE1: 8
Group I lists the type of gain or loss of strength in soils. Group II lists the property or process responsible for the loss or gain of strength in soils. ... $P3, \: Q2; \: R1, \: S4$ $P4, \: Q2; \: R1, \: S3$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
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11.8k
points)
gate2017ce1
soilmechanics
geotechnicalengineering
strengthinsoils
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votes
0
answers
9
GATE2017 CE1: 9
A soil sample is subjected to a hydrostatic pressure, $\sigma$. The Mohr circle for any point in the soil sample would be a circle of radius $\sigma$ and center at the origin a circle of radius $\sigma$ and center at a distance $\sigma$ from the origin a point at a distance $\sigma$ from the origin a circle of diameter $\sigma$ and center at the origin
asked
Mar 26, 2018
in
Others
by
Milicevic3306
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11.8k
points)
gate2017ce1
soilmechanics
geotechnicalengineering
mohrcircle
0
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0
answers
10
GATE2017 CE1: 10
A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion $c_u$. The ultimate bearing capacity of the footing is equal to $2 \pi \: c_u$ $\pi \: c_u$ $( \pi +1) \: c_u$ $(\pi + 2) \: c_u$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
foundationengineering
geotechnicalengineering
bearingcapacity
0
votes
0
answers
11
GATE2017 CE1: 11
A uniformly distributed line road of $500 \: kN/m$ is acting on the ground surface. Based on Boussinesq’s theory, the ratio of vertical stress at a depth $2$ m to that at $4$ m, right below the line of loading, is $0.25$ $0.5$ $2.0$ $4.0$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
foundationengineering
geotechnicalengineering
boussinesq'stheory
0
votes
0
answers
12
GATE2017 CE1: 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
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
fluidmechanics
waterresourcesengineering
laminarflow
shearstress
0
votes
0
answers
13
GATE2017 CE1: 13
The reaction rate involving reactants $A$ and $B$ is given by $k[A]^{\alpha} [B]^{\beta}$. Which one of the following statements is valid for the reaction to be firstorder reaction? $\alpha=0$ and $\beta=0$ $\alpha=1$ and $\beta=0$ $\alpha=1$ and $\beta=1$ $\alpha=1$ and $\beta=2$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
waterresourcesengineering
0
votes
0
answers
14
GATE2017 CE1: 14
The wastewater from a city, containing a high concentration of biodegradable organics, is being steadily discharged into a flowing river at a location S. If the rate of aeration of the river water is lower than the rate of degradation of the organics, then the ... the location S. remains constant all along the length of the river. is lowest at a point downstream of the location S.
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
environmentalengineering
waterandwastewater
wastewater
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votes
0
answers
15
GATE2017 CE1: 15
Which one of the following is NOT present in the acid rain? $HNO_3$ $H_2SO_4$ $H_2CO_3$ $CH_3COOH$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
acidrain
waterresourcesengineering
0
votes
0
answers
16
GATE2017 CE1: 16
A superelevation $e$ is provided on a circular horizontal curve such that a vehicle can be stopped on the curve without sliding. Assuming a design speed $v$ and maximum coefficient of side friction $f_{max}$, which one of the following criteria should be satisfied? $e \leq f_{max}$ $e > f_{max}$ no limit on $e$ can be set $e = \dfrac{1(f_{max})^2}{f_{max}}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
horizontalcurve
geomaticsengineering
0
votes
0
answers
17
GATE2017 CE1: 17
A runway is being constructed in a new airport as per the International Civil Aviation Organization (ICAO) recommendations. The elevation and the airport reference temperature of this airport are $535 \: m$ above the mean sea level and $22.65^{\circ}C$, respectively. Consider the ... length of runway corrected for the temperature is $2223 \: m$ $2250 \: m$ $2500 \: m$ $2750 \: m$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
transportationinfrastructure
transportationengineering
airportrunwaylength
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votes
0
answers
18
GATE2017 CE1: 18
The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as $\pm (a \: mm + b \: ppm)$. Which one of the following statements is correct? Both $a$ and $b$ remain constant, irrespective of the distance being measured $a$ ... proportion to the distance being measured and $b$ remains constant Both $a$ and $b$ vary in proportion to the distance being measured
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
transportationinfrastructure
transportationengineering
electronicdistancemeasuringinstrument(edmi)
0
votes
0
answers
19
GATE2017 CE1: 19
The number of spectral bands in the Enhanced Thematic Mapper sensor on the remote sensing satellite Landsat$7$ is: $64$ $10$ $8$ $15$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
geomaticsengineering
photogrammetry
remotesensing
0
votes
0
answers
20
GATE2017 CE1: 20
Consider the following partial differential equation: $3 \frac{\partial ^2 \phi}{ \partial x^2} + B \frac{ \partial ^2 \phi}{\partial x \partial y} + 3 \frac{\partial ^2 \phi}{\partial y^2} + 4 \phi =0$ For this equation to be classified as parabolic, the value of $B^2$ must be ________
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
differentialequation
engineeringmathematics
0
votes
0
answers
21
GATE2017 CE1: 21
$\underset{x \to 0}{\lim} \bigg( \dfrac{\tan x}{x^2x} \bigg)$ is equal to _________
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
engineeringmathematics
differentialequation
0
votes
0
answers
22
GATE2017 CE1: 22
A $3 \: m$ thick clay layer is subjected to an initial uniform pore pressure of $145 \: kPa$ as shown in the figure. For the given ground conditions, the time (in days, rounded to the nearest integer) required for $90 \%$ consolidation would be ________
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
geotechnicalengineering
soilmechanics
characteristicsofclay
0
votes
0
answers
23
GATE2017 CE1: 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 _______
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
fluidmechanics
waterresourcesengineering
flowinpipes
0
votes
0
answers
24
GATE2017 CE1: 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 _________
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
hydrology
waterresourcesengineering
hydrographs
0
votes
0
answers
25
GATE2017 CE1: 25
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is $900$ vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than $8$ seconds is ___________
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
trafficengineering
transportationengineering
poissondistribution
0
votes
0
answers
26
GATE2017 CE1: 26
For the function $f(x)=a+bx,0\leq x\leq1,$ to be a valid probability density function,which one of the following statements is correct? $a=1,b=4$ $b=0.5,b=1$ $a=0,b=1$ $a=1,b=1$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
probabilityandstatistics
engineeringmathematics
probabilitydensityfunction
0
votes
0
answers
27
GATE2017 CE1: 27
The solution of the equation $\dfrac{dQ}{dt} +Q =1$ with $Q=0$ at $t=0$ is $Q(t)=e^{t}1$ $Q(t)=1+ e^{t}$ $Q(t)=1 e^t$ $Q(t)=1 e^{t}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
differentialequation
engineeringmathematics
0
votes
0
answers
28
GATE2017 CE1: 28
Consider the matrix $\begin{bmatrix} 5 & 1 \\ 4 & 1 \end{bmatrix}$. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix? Eigenvalue $3$ has a multiplicity of $2$, and only one independent ... has a multiplicity of $2$, and no independent eigenvector exists. Eigenvalues are $3$ and $3$, and two independent eigenvectors exist.
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
matrixalgebra
linearalgebra
engineeringmathematics
0
votes
0
answers
29
GATE2017 CE1: 29
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. Externally Determinate External Static Indeterminacy $=1$ External Static Indeterminacy $=2$ Internally Determinate Internal Static Indeterminacy $=1$ ... SFalse; TFalse; U True PTrue; Q True; RFalse; STrue; TFalse; U True
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
structuralanalysis
structuralengineering
analysisoftrusses
0
votes
0
answers
30
GATE2017 CE1: 30
Group I contains three broad classes of irrigation supply canal outlets, Group II presents hydraulic performance attributes. ... $P  2; \: Q  3; \: R  1$ $P  1; \: Q  3; \: R  2$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
irrigation
waterresourcesengineering
0
votes
0
answers
31
GATE2017 CE1: 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 $S_1$ $S_2$ $M_1$ $M_2$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
waterresourcesengineering
manning'scoefficient
hydraulics
graduallyvariedflow
0
votes
0
answers
32
GATE2017 CE1: 32
The following observations are made while testing aggregate for its suitability in pavement construction: Mass of ovendry aggregate in air $=1000 $ g Mass of saturated surfacedry aggregate in air $=1025 $ g Mass of saturated surfacedry aggregate under water $=625 $ g ... and water absorption $=2.5 \%$ apparent specific gravity of aggregate $=2.5$ and water absorption $=2.4 \%$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
highwaypavements
transportationengineering
0
votes
0
answers
33
GATE2017 CE1: 33
The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of $96$ seconds is shown in the figure (not drawn to scale) At time $t=0$, the light has just turned red. The ... delay per vehicle $=45$ seconds $s=1200$ vph, and for this cycle, the average stopped delay per vehicle $=28.125$ seconds
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
trafficengineering
transportationengineering
traveltimedelay
0
votes
0
answers
34
GATE2017 CE1: 34
The radius of a horizontal circular curve on a highway is $120$ m. The design speed is $60$ km/hour, and the design coefficient of lateral friction between the tyre and road surface is $0.15$. The estimated value of superrelevation required (if full lateral friction is assumed to develop), and the ... $\dfrac{1}{11.6} \text{ and } 0.24 \\$ $\dfrac{1}{12.9} \text{ and } 0.24$
asked
Mar 26, 2018
in
Others
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Milicevic3306
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11.8k
points)
gate2017ce1
trafficengineering
transportationengineering
speed
0
votes
0
answers
35
GATE2017 CE1: 35
The observed bearings of a traverse are given below: ... $R$ Only $S$ $R$ and $S$ $P$ and $Q$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
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11.8k
points)
gate2017ce1
geomaticsengineering
traversing
0
votes
0
answers
36
GATE2017 CE1: 36
The laboratory tests on a soil sample yields the following results: natural moisture content $=18 \%$, liquid limit $=60 \%$, plastic limit $=25 \%$, percentage of clay sized fraction $=25\%$. The liquidity index and activity (as per the expression proposed by Skempton) of the soil, respectively, are $0.2$ and $1.4$ $0.2$ and $1.4$ $1.2$ and $0.714$ $1.2$ and $0.714$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
soilmechanics
geotechnicalengineering
liquidityindex
0
votes
0
answers
37
GATE2017 CE1: 37
Consider the equation $\dfrac{du}{dt}=3t^2+1$ with $u=0$ at $t=0$. This is numerically solved by using the forward Euler method with a step size, $\Delta t=2$. The absolute error in the solution at the end of the first time step is _______.
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Mar 26, 2018
in
Others
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Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
ordinarydifferentialequation
engineeringmathematics
eulerequations
0
votes
0
answers
38
GATE2017 CE1: 41
Consider the beam ABCD shown in the figure. For a moving concentrated load of $50$ kN on the beam, the magnitude of the maximum bending moment (in kNm) obtained at the support C will be equal to ________.
asked
Mar 26, 2018
in
Others
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Milicevic3306
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11.8k
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gate2017ce1
numericalanswers
solidmechanics
structuralengineering
bendingmomentinbeam
0
votes
0
answers
39
GATE2017 CE1: 42
Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young's modulus $2 \times 10^5$ MPa, square crosssection with side $10$ mm, and length $1$ m. For column $1$, one end is fixed and the other end is free ... 's theory, the ratio (up to one decimal place) of the buckling load of Column $2$ to the buckling load of Column $1$ is ________
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
11.8k
points)
gate2017ce1
numericalanswers
engineeringmechanics
structuralengineering
euler'sequation
0
votes
0
answers
40
GATE2017 CE1: 43
A column is subjected to a load through a bracket as shown in the figure. The resultant force (in kN, up to one decimal place) in the bolt $1$ is _______
asked
Mar 26, 2018
in
Others
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Milicevic3306
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11.8k
points)
gate2017ce1
numericalanswers
structuralengineering
resultantforce
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