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Recent questions tagged gate2020ce1
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GATE2020CE126
For the Ordinary Differential Equation ${\large\frac{d^2x}{dt^2}}5{\large\frac{dx}{dt}}+6x=0$, with initial conditions $x(0)=0$ and ${\large\frac{dx}{dt}}(0)=10$, the solution is $5e^{2t}+6e^{3t}$ $5e^{2t}+6e^{3t}$ $10e^{2t}+10e^{3t}$ $10e^{2t}+10e^{3t}$
asked
Feb 28
in
Engineering Mathematics
by
jothee
(
2.7k
points)
gate2020ce1
ordinarydifferentialequation
engineeringmathematics
0
votes
0
answers
2
GATE2020CE127
A continuous function $f(x)$ is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finitedivideddifference scheme (with step length $=h$ ...
asked
Feb 28
in
Calculus
by
jothee
(
2.7k
points)
gate2020ce1
calculus
functions
engineeringmathematics
0
votes
0
answers
3
GATE2020CE133
The appropriate design length of a clearway is calculated on the basis of ‘Normal Takeoff’ condition. Which one of the following options correctly depicts the length of the clearway? (Note: None of the options are drawn to scale)
asked
Feb 28
in
Transportation Engineering
by
jothee
(
2.7k
points)
gate2020ce1
transportationengineering
0
votes
0
answers
4
GATE2020CE134
The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below ... $OPIII, OQII, ORI, OSIV$ $OPI, OQIII, ORII, OSIV$
asked
Feb 28
in
Soil Mechanics
by
jothee
(
2.7k
points)
gate2020ce1
soilmechanics
geotechnicalengineering
stresspaths
0
votes
0
answers
5
GATE2020CE135
The soil profile at a site up to a depth of $10\:m$ is shown in the figure ( not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of $70\:kN/m^2$ at the ground level. The water table is at a depth of $3\:m$ below ground level. The soil unit weight ... $kPa$) at points $P$ and $Q$, respectively, are $124$ and $204$ $36$ and $ 90$ $36$ and $126$ $54$ and $95$
asked
Feb 28
in
Foundation Engineering
by
jothee
(
2.7k
points)
gate2020ce1
foundationengineering
geotechnicalengineering
watertable
0
votes
0
answers
6
GATE2020CE136
Water flows at the rate of $12\:m^3/s$ in a $6\:m$ wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is $30\:cm$ (just before the jump). Considering acceleration due to gravity as $9.81\:m/s^2$ and density of water as $1000\:kg/m^3$, the energy loss in the jump is $114.2\:kW$ $114.2\:MW$ $141.2\:h.p.$ $141.2\:J/s$
asked
Feb 28
in
Hydraulics
by
jothee
(
2.7k
points)
gate2020ce1
hydraulics
waterresourcesengineering
flowmeasurementinchannels
0
votes
0
answers
7
GATE2020CE137
A water supply scheme transports $10\:MLD$ (MIllion Litres per Day) water through a $450\:mm$ diameter pipeline for a distance of $2.5\:km$. A chlorine dose of $3.50\:mg/litre$ is applied at the starting point of the pipeline to attain a certain level of disinfection at ... the chlorine dose (in $mg/litre$) to be applied at the starting point should be $3.95$ $4.40$ $4.75$ $5.55$
asked
Feb 28
in
Fluid Mechanics
by
jothee
(
2.7k
points)
gate2020ce1
fluidmechanics
waterresourcesengineering
flowinpipes
0
votes
0
answers
8
GATE2020CE138
An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the table If the independent coordinates (Northing, Easting) of station $P$ are $(400\:m,200\:m)$, the independent coordinates (in $m$) of station $T$, are $194.7,370.1$ $205.3,429.9$ $394.7,170.1$ $405.3,229.9$
asked
Feb 28
in
Geomatics Engineering
by
jothee
(
2.7k
points)
gate2020ce1
geomaticsengineering
traversingsurvey
0
votes
0
answers
9
GATE2020CE139
If $C$ represents a line segment between $(0,0,0)$ and $(1,1,1)$ in Cartesian coordinate system, the value (expressed as integer) of the line integral $\int_C [(y+z)dx+(x+z)dy+(x+y)dz] $ is ______
asked
Feb 28
in
Calculus
by
jothee
(
2.7k
points)
gate2020ce1
calculus
engineeringmathematics
integrals
numericalanswers
0
votes
0
answers
10
GATE2020CE140
Consider the system of equations $\begin{bmatrix}1&3&2 \\2&2&3 \\ 4&4&6 \\ 2&5&2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 1 \\ 1 \\ 2 \\ 1 \end{bmatrix}$ The value of $x_3$(round off to the nearest integer), is ___________.
asked
Feb 28
in
Linear Algebra
by
jothee
(
2.7k
points)
gate2020ce1
matrixalgebra
linearalgebra
engineeringmathematics
numericalanswers
0
votes
0
answers
11
GATE2020CE141
A rigid, uniform, weightless, horizontal bar is connected to three vertical members P , Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of $10\:kN/mm$ . The lower ends of bars $P$ and $R$ rest ... $W$ (in $kN$, round off to the nearest integer), is ______.
asked
Feb 28
in
Structural Engineering
by
jothee
(
2.7k
points)
gate2020ce1
structuralengineering
numericalanswers
0
votes
0
answers
12
GATE2020CE142
The flange and web plates of the doubly symmetric builtup section are connected by continuous $10\:mm$ thick fillet welds as shown in figure (not drawn to the scale). The moment of inertia of the section about its principal axis $XX$ ... welds. The maximum shear force (in $kN$ , round off to one decimal place ) that can be carried by the section, is ______.
asked
Feb 28
in
Solid Mechanics
by
jothee
(
2.7k
points)
gate2020ce1
solidmechanics
structuralengineering
shearforce
numericalanswers
0
votes
0
answers
13
GATE2020CE143
The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of $M25$ grade concrete and $Fe500$ grade reinforcing steel. The total crosssectional area of the tension steel is $942\:mm^2$. As per Limit State Design IS $456:2000$, the design moment capacity (in $kN.m$, round off to two decimal places) of the beam section, is __________
asked
Feb 28
in
Concrete Structures
by
jothee
(
2.7k
points)
gate2020ce1
concretestructures
structuralengineering
concretebeams
steelstructures
designoftension
numericalanswers
0
votes
0
answers
14
GATE2020CE144
A simply supported prismatic concrete beam of rectangular crosssection, having a span of $8\:m$, is prestressed with an effective prestressing force of $600\:kN$. The eccentricity of the prestressing tendon is zero at supports and varies linearly to a value of $e$ at ... at the midspan, the required value of e (in $mm$, round off to the nearest integer) of the tendon, is ______.
asked
Feb 28
in
Concrete Structures
by
jothee
(
2.7k
points)
gate2020ce1
concretestructures
structuralengineering
concretebeams
numericalanswers
0
votes
0
answers
15
GATE2020CE145
Traffic volume count has been collected on a $2$lane road section which needs upgradation due to severe traffic flow condition. Maximum service flow rate per lane is observed as $1280\:veh/h$ ... are Regular Commuters', the number of extra lane(s) (round off to the next higher integer) to be provided, is ______.
asked
Feb 28
in
Traffic Engineering
by
jothee
(
2.7k
points)
gate2020ce1
trafficengineering
transportationengineering
peakhourfactor
numericalanswers
0
votes
0
answers
16
GATE2020CE146
A vertical retaining wall of $5\:m$ height has to support soil having unit weight of $18\:kN/m^3$ , effective cohesion of $12\:kN/m^2$, and effective friction angle of $30^\circ{}$ . As per Rankine's earth pressure theory and assuming that a ... has occurred, the lateral active thrust on the wall per meter length ( in $kN/m$ , round off to two decimal places), is __________
asked
Feb 28
in
Foundation Engineering
by
jothee
(
2.7k
points)
gate2020ce1
foundationengineering
geotechnicalengineering
rankinestheory
numericalanswers
0
votes
0
answers
17
GATE2020CE147
Water flows in the upward direction in a tank through $2.5\;m$ thick sand layer as shown in the figure. The void ratio and specific gravity of sand are $0.58$ and $2.7$, respectively. The sand is fully saturated. Unit weight of water is $10\:kN/m^3$. The ... (in $kPa$, round off to two decimal places) at point $\textbf{A}$, located $1\:m$ above the base of tank, is ______.
asked
Feb 28
in
Geotechnical Engineering
by
jothee
(
2.7k
points)
gate2020ce1
geotechnicalengineering
soilmechanics
numericalanswers
0
votes
0
answers
18
GATE2020CE148
A $10\:m$ thick clay layer is resting over a $3\:m$ thick sand layer and is submerged. A fill of $2\:m$ thick sand with unit weight of $20\:kN/m^3$ is placed above the clay layer to accelerate the rate of consolidation of the clay layer. ... settlement (in $mm$, round off to two decimal places) of the clay layer, $10$ years after the construction of the fill, is ______.
asked
Feb 28
in
Foundation Engineering
by
jothee
(
2.7k
points)
gate2020ce1
foundationengineering
geotechnicalengineering
settlementanalysisinclays
numericalanswers
0
votes
0
answers
19
GATE2020CE149
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 ______.
asked
Feb 28
in
Hydrology
by
jothee
(
2.7k
points)
gate2020ce1
hydrology
waterresourcesengineering
reservoirs
numericalanswers
0
votes
0
answers
20
GATE2020CE150
In a homogenous unconfined aquifer of area $3.00\:km^2$, the water table was at an elevation of $102.00\:m$. After a natural recharge of volume $0.90$ million cubic meter $(Mm^3)$, the water table rose to $103.20\:m$. After this recharge,ground ... $Mm^3$ and round off to two decimal places), is ______.
asked
Feb 28
in
Foundation Engineering
by
jothee
(
2.7k
points)
gate2020ce1
watertable
foundationengineering
geotechnicalengineering
numericalanswers
0
votes
0
answers
21
GATE2020CE151
A circular water tank of $2\:m$ diameter has a circular orifice of diameter $0.1\:m$ at the bottom. Water enters the tank steadily at a flow rate of $20\:litre/s$ and escapes through the orifice. The coefficient of discharge of the orifice is $0.8$. ... losses. The height of the water level (in $m$, round off to two decimal places) in the tank at the steady state, is ______.
asked
Feb 28
in
Hydrology
by
jothee
(
2.7k
points)
gate2020ce1
hydrology
waterresourcesengineering
steadystate
numericalanswers
0
votes
0
answers
22
GATE2020CE152
Surface Overflow Rate (SOR) of a primary settling tank (discrete settling) is $20000\:litre/m^2$ per day. Kinematic viscosity of water in the tank is $1.01\times10^{2}\:cm^2/s$. Specific gravity of the settling particles is $2.64$. Acceleration due to ... $80\%$ efficiency in the tank, is ______.
asked
Feb 28
in
Water Resources Engineering
by
jothee
(
2.7k
points)
gate2020ce1
waterresourcesengineering
numericalanswers
0
votes
0
answers
23
GATE2020CE153
A gaseous chemical has a concentration of $41.6\:\mu mol/m^3$ in air at $1$ atm pressure and temperature $293\:K$. The universal gas constant $R$ is $82.05\times10^{6}\;(m^3\:atm)/(mol\:K)$. Assuming that ideal gas law is valid , the concentration of the gaseous chemical (in ppm, round off to one decimal place), is ______.
asked
Feb 28
in
Soil Mechanics
by
jothee
(
2.7k
points)
gate2020ce1
soilmechanics
geotechnicalengineering
upliftpressure
temperature
numericalanswers
0
votes
0
answers
24
GATE2020CE154
A stream with a flow rate of $5\:m^3/s$ is having an ultimate BOD of $30\:mg/litre$. A wastewater discharge of $0.20\:m^3/s$ having $BOD_5\:\text{of}\:500\:mg/litre$ joins the stream at a location and instantaneously gets mixed up completely. The ... $e$). The BOD (in mg/litre, round off to two decimal places) remaining at $3\:km$ downstream from the mixing location, is __________
asked
Feb 28
in
Water and Waste Water
by
jothee
(
2.7k
points)
gate2020ce1
waterandwastewater
environmentalengineering
numericalanswers
0
votes
0
answers
25
GATE2020CE155
The lengths and bearings of a traverse $PQRS$ are: $\begin{array}{ccc}\hline \text{Segment}&\text{Length}\:(m) &\text{Bearing}\\\hline PQ&40&80^\circ{} \\\hline QR&50&10^\circ{} \\\hline RS&30&210^\circ{}\\\hline\end{array}$ The length of line segment SP (in $m$, round off to two decimal places), is __________
asked
Feb 28
in
Geomatics Engineering
by
jothee
(
2.7k
points)
gate2020ce1
geomaticsengineering
numericalanswers
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