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1521
GATE Civil 2023 Set 1 | Question: 6
The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______. 0.35 0.78 0.87 1.28
The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______.0.350.780.871.2...
admin
4.2k
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admin
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May 21, 2023
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1522
GATE Civil 2023 Set 1 | Question: 28
Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the cross-section? $1.5$ $1.7$ $1.3$ $ 2.0$
Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place)...
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4.2k
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admin
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May 21, 2023
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1523
GATE Civil 2024 Set 2 | Question: 46
A storm with a recorded precipitation of $11.0 \mathrm{~cm}$, as shown in the table, produced a direct run-off of $6.0 \mathrm{~cm}$. Time from start (hours) $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ Recorded cumulative precipitation$(\mathrm{cm})$ $0.5$ ... $\_\_\_\_\_\_\_\_$ $\mathrm{cm} / \mathrm{hr}$ (rounded off to $2$ decimal places).
A storm with a recorded precipitation of $11.0 \mathrm{~cm}$, as shown in the table, produced a direct run-off of $6.0 \mathrm{~cm}$.Time from start (hours)$1$$2$$3$$4$$5...
Arjun
13.0k
points
Arjun
asked
Feb 16
Others
gatecivil-2024-set2
numerical-answers
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1524
GATE Civil 2023 Set 2 | Question: 45
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block parameters for the section at ultimate limit state, as per $IS \; 456: 2000$ ... cube strength of concrete, $f_y$ is the yield stress of steel, and $x_u$ is the depth of neutral axis.]
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block p...
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admin
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May 21, 2023
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1525
GATE Civil 2023 Set 1 | Question: 14
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues? $\boldsymbol{M}^{2}$ $\boldsymbol{MM}^{T}$ $\boldsymbol{M}^{T} \boldsymbol{M}$ $\left(\boldsymbol{M}^{T}\right)^{2}$
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues?$\boldsymbol{M}^{2}$$\boldsymbol{M...
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May 21, 2023
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1526
GATE2016-2-38
A fixed-end beam is subjected to a concentrated load ($P$) as shown in the figure. The beam has two different segments having different plastic moment capacities ($M_P, 2M_P$) as shown. The minimum value of load ($P$) at which the beam would collapse (ultimate load) is $7.5 \: M_P/L$ $5.0 \: M_P/L$ $4.5 \: M_P/L$ $2.5 \: M_P/L$
A fixed-end beam is subjected to a concentrated load ($P$) as shown in the figure. The beam has two different segments having different plastic moment capacities ($M_P, 2...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Steel Structures
gate2016-ce-2
steel-structures
structural-engineering
plastic-analysis-of-beams
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0
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0
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1527
GATE Civil 2024 Set 1 | Question: 27
A vector field $\vec{p}$ and a scalar field $r$ are given by \[ \begin{aligned} \vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x^{2}\right) \hat{\jmath}+\left(2 z^{2}-3 x z+x^{2}\right) \ ... $\text{P}$ is TRUE and $\text{Q}$ is FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE Both $\mathrm{P}$ and $\mathrm{Q}$ are TRUE
A vector field $\vec{p}$ and a scalar field $r$ are given by\[\begin{aligned}\vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x...
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4.2k
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admin
asked
Feb 16
Calculus
gatecivil-2024-set1
vector-calculus
gradient
divergence
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1528
GATE Civil 2024 Set 1 | Question: 39
The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical axial rigidity. A to $\mathrm{M}$ indicate the joints of the truss. The truss has pin supports at ... $\mathrm{L}$ is $\_\_\_\_\_\_$ (rounded off to $1$ decimal place).
The plane truss shown in the figure has $13$ joints and $22$ members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical...
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4.2k
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admin
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Feb 16
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1529
GATE Civil 2024 Set 1 | Question: 51
A water treatment plant treats $25 \mathrm{MLD}$ water with a natural alkalinity of $4.0 \mathrm{mg} / \mathrm{L}$ (as $\mathrm{CaCO}_{3}$ ). It is estimated that, during coagulation of this water, $450 \mathrm{~kg} /$ ... $\mathrm{kg}$ ) required for this process per day is $\_\_\_\_\_\_$. (rounded off to $2$ decimal places).
A water treatment plant treats $25 \mathrm{MLD}$ water with a natural alkalinity of $4.0 \mathrm{mg} / \mathrm{L}$ (as $\mathrm{CaCO}_{3}$ ). It is estimated that, during...
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4.2k
points
admin
asked
Feb 16
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numerical-answers
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1530
GATE Civil 2023 Set 2 | Question: 44
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The joints at $\mathrm{B}$ and $\mathrm{C}$ are rigid joints, and ... magnitude of the moment reaction at $\mathrm{A}$ is $w L^2 / k$. What is the value of $k$ (in integer)? ______________________
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The j...
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May 21, 2023
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1531
GATE Civil 2023 Set 1 | Question: 44
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
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4.2k
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admin
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May 21, 2023
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1532
GATE2016-2-37
Two bolted plates under tension with alternative arrangement of bolt holes are shown in figure $1$ and $2$. The hole diameter, pitch, and gauge length are $d$, $p$ and $g$, respectively. Which one of the following conditions must be ensured to have higher net tensile capacity of configuration ... shown in Figure $1$? $p^2 > 2gd$ $p^2 < \sqrt{4gd}$ $p^2 > 4gd$ $p > 4gd$
Two bolted plates under tension with alternative arrangement of bolt holes are shown in figure $1$ and $2$. The hole diameter, pitch, and gauge length are $d$, $p$ and $g...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Steel Structures
gate2016-ce-2
steel-structures
structural-engineering
design-of-tension
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0
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0
answers
1533
GATE2014-1-22
The amount of $CO_2$ generated (in kg) while completely oxidizing one kg of $CH_4$ to the end products is _________
The amount of $CO_2$ generated (in kg) while completely oxidizing one kg of $CH_4$ to the end products is _________
Milicevic3306
11.9k
points
Milicevic3306
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Mar 25, 2018
Environmental Engineering
gate2014-ce-1
numerical-answers
environmental-engineering
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1534
GATE Civil 2023 Set 1 | Question: 41
Which of the following options match the test reporting conventions with the given material tests in the table? ... $\text{(P) - (VI); (Q) - (III); (R) - (IV); (S) - (VII)}$
Which of the following options match the test reporting conventions with the given material tests in the table?$$\begin{array}{|l|l|}\hline \textbf{Test reporting convent...
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May 21, 2023
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1535
GATE Civil 2024 Set 2 | Question: 37
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is \[ i_{\text {eff }}=\lim _{m \rightarrow \infty}\left(1+\frac{0.05}{m}\right)^{m}-1 \] The effective interest rate (in percentage) is $\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is\[i_{\text {...
Arjun
13.0k
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Arjun
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Feb 16
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1536
GATE Civil 2024 Set 1 | GA Question: 10
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of the Earth-Sun and Earth-Moon distances is closest to $328$ $382$ $238$ $283$
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of th...
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4.2k
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admin
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Feb 16
Quantitative Aptitude
gatecivil-2024-set1
quantitative-aptitude
geometry
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1537
GATE Civil 2024 Set 1 | Question: 28
Find the correct match between the plane stress states and the Mohr's circles. $\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$ $\text{(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)}$ $\text{(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)}$ $\text{(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)}$
Find the correct match between the plane stress states and the Mohr's circles.$\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$$\text{(P)-(III); (Q)-(II); (R...
admin
4.2k
points
admin
asked
Feb 16
Solid Mechanics
gatecivil-2024-set1
mohr-circle
stress-paths
solid-mechanics
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1538
GATE Civil 2024 Set 1 | Question: 43
The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{~mm}$. After $300$ days of the construction of the building, primary consolidation settlement was reported ... $50 \%$ of $S_{c}$ will be $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
The total primary consolidation settlement $\left(S_{c}\right)$ of a building constructed on a $10 \mathrm{~m}$ thick saturated clay layer is estimated to be $50 \mathrm{...
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4.2k
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admin
asked
Feb 16
Others
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numerical-answers
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1539
GATE Civil 2023 Set 1 | Question: 5
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability increases Compressive strength increases but workability decreases Both compressive strength and workability decrease Both compressive strength and workability increase
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability incr...
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4.2k
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admin
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May 21, 2023
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1540
GATE Civil 2024 Set 1 | Question: 49
A $5 \mathrm{~m} \times 5 \mathrm{~m}$ closed tank of $10 \mathrm{~m}$ height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use $\gamma_{w}=10 \mathrm{kN} / \mathrm{m}^{3}$ and Specific gravity of oil ... $\_\_\_\_\_\_$. (rounded off to the nearest integer).
A $5 \mathrm{~m} \times 5 \mathrm{~m}$ closed tank of $10 \mathrm{~m}$ height contains water and oil, and is connected to an overhead water reservoir as shown in the figu...
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4.2k
points
admin
asked
Feb 16
Others
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numerical-answers
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1541
GATE Civil 2024 Set 1 | Question: 10
The number of degrees of freedom for a natural open channel flow with a mobile bed is $2$ $3$ $4$ $5$
The number of degrees of freedom for a natural open channel flow with a mobile bed is$2$$3$$4$$5$
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4.2k
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asked
Feb 16
Hydrology
gatecivil-2024-set1
flow-measurement-in-channels
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1542
GATE Civil 2023 Set 1 | Question: 23
A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required by the crop is $35 \mathrm{~cm}$. The most intense watering is required ... , rounded off to three decimal places) in the canal to satisfy the crop requirement is __________.
A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required...
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admin
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May 21, 2023
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1543
GATE Civil 2024 Set 1 | Question: 44
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ ... for the critically stable condition of the slope is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of slope is $30^{\circ}$ with respect to horizontal gr...
admin
4.2k
points
admin
asked
Feb 16
Others
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numerical-answers
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1544
GATE Civil 2023 Set 1 | Question: 37
For the matrix $[A]=\left[\begin{array}{lll}1 & 2 & 3 \\3 & 2 & 1 \\3 & 1 & 2\end{array}\right]$ which of the following statements is/are TRUE? The eigenvalues of $[A]^{T}$ are same as the eigenvalues of $[A]$ The ... $[A]^{T}$ are same as the eigenvectors of $[A]$ The eigenvectors of $[A]^{-1}$ are same as the eigenvectors of $[A]$
For the matrix$$[A]=\left[\begin{array}{lll}1 & 2 & 3 \\3 & 2 & 1 \\3 & 1 & 2\end{array}\right]$$which of the following statements is/are TRUE?The eigenvalues of $[A]^{T}...
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4.2k
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admin
asked
May 21, 2023
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1545
GATE Civil 2023 Set 1 | Question: 39
Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural rigidity, and is subjected to the external ... statements is/are TRUE? Support reactions are zero Shear force is zero everywhere Bending moment is zero everywhere Deflection is zero everywhere
Consider the beam shown in the figure (not to scale), on a hinge support at end $\mathrm{A}$ and a roller support at end $\mathrm{B}$. The beam has a constant flexural ri...
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4.2k
points
admin
asked
May 21, 2023
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1546
GATE Civil 2024 Set 2 | Question: 40
The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A concentrated vertically downward load $(V)$ of $10 \mathrm{kN}$ can act at any point over the ... $\mathrm{P}$ due to $V$ is $\_\_\_\_\_\_$ (in integer).
The horizontal beam $\mathrm{PQRS}$ shown in the figure has a fixed support at point $\mathrm{P}$, an internal hinge at point $Q$, and a pin support at point $R$. A conce...
Arjun
13.0k
points
Arjun
asked
Feb 16
Others
gatecivil-2024-set2
numerical-answers
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1547
GATE Civil 2024 Set 1 | Question: 17
Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT? The line of collimation must be perpendicular to the horizontal axis at its intersection with the vertical axis. The axis of altitude level ... to the vertical axis. The Vernier of vertical circle must read zero when the line of collimation is vertical.
Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT?The line of collimation must be perpendicular to the horizonta...
admin
4.2k
points
admin
asked
Feb 16
Geomatics Engineering
gatecivil-2024-set1
theodolite-survey
distance-and-angle-measurement
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0
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1548
GATE Civil 2023 Set 1 | Question: 42
The differential equation, $\frac{\mathrm{d} u}{\mathrm{~d} t}+2 t u^2=1,$ is solved by employing a backward difference scheme within the finite difference framework. The value of $u$ at the $(n-1)^{\text {th }}$ time-step, for some $n$, ... $0.01 \mathrm{~s}$ long. Then, the value of $\left(u_n-u_{n-1}\right)$ is__________ (round off to three decimal places).
The differential equation,$$\frac{\mathrm{d} u}{\mathrm{~d} t}+2 t u^2=1,$$is solved by employing a backward difference scheme within the finite difference framework. The...
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4.2k
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admin
asked
May 21, 2023
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1549
GATE Civil 2024 Set 2 | Question: 48
A $2 \mathrm{~m} \times 1.5 \mathrm{~m}$ tank of $6 \mathrm{~m}$ height is provided with a $100 \mathrm{~mm}$ diameter orifice at the center of its base. The orifice is plugged and the tank is filled up to $5 \mathrm{~m}$ height. Consider the ... to $3.5 \mathrm{~m}$ under free discharge condition is $\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
A $2 \mathrm{~m} \times 1.5 \mathrm{~m}$ tank of $6 \mathrm{~m}$ height is provided with a $100 \mathrm{~mm}$ diameter orifice at the center of its base. The orifice is p...
Arjun
13.0k
points
Arjun
asked
Feb 16
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numerical-answers
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1550
GATE Civil 2024 Set 1 | Question: 1
The smallest positive root of the equation \[ x^{5}-5 x^{4}-10 x^{3}+50 x^{2}+9 x-45=0 \] lies in the range $0 < x \leq 2$ $2 < x \leq 4$ $6 \leq x \leq 8$ $10 \leq x \leq 100$
The smallest positive root of the equation\[x^{5}-5 x^{4}-10 x^{3}+50 x^{2}+9 x-45=0\]lies in the range$0 < x \leq 2$$2 < x \leq 4$$6 \leq x \leq 8$$10 \le...
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4.2k
points
admin
asked
Feb 16
Linear Algebra
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algebra
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1551
GATE Civil 2024 Set 1 | Question: 52
The number of trains and their corresponding speeds for a curved Broad Gauge section with $437 \mathrm{~m}$ radius, are $20$ trains travel at a speed of $40 \mathrm{~km} / \mathrm{hr}$ $15$ ... the required equilibrium cant (in $\mathrm{mm}$ ) will be $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
The number of trains and their corresponding speeds for a curved Broad Gauge section with $437 \mathrm{~m}$ radius, are$20$ trains travel at a speed of $40 \mathrm{~km} /...
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4.2k
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admin
asked
Feb 16
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numerical-answers
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1552
GATE Civil 2024 Set 1 | Question: 25
A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ ... $\_\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).
A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ day. Un...
admin
4.2k
points
admin
asked
Feb 16
Hydrology
gatecivil-2024-set1
steady-state-well-hydraulics
ground-water-hydrology
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0
answers
1553
GATE Civil 2024 Set 1 | Question: 26
What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ? $1,2,5$ $1,3,4$ $-5,1,2$ $-5,-1,2$
What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ?$1,2,5$$1,3,4$$-5,1,2$$-5,-1,2$
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4.2k
points
admin
asked
Feb 16
Linear Algebra
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linear-algebra
eigen-values
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0
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1554
GATE Civil 2024 Set 1 | Question: 13
As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation from the Mean Sea Level (MSL). The values of $x$ and $y$, respectively, are $7 \%$ and $300 \mathrm{~m}$ $5 \%$ and $200 \mathrm{~m}$ $4 \%$ and $500 \mathrm{~m}$ $10 \%$ and $1000 \mathrm{~m}$
As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation ...
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4.2k
points
admin
asked
Feb 16
Others
gatecivil-2024-set1
mean-sea-level
runway-length
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1555
GATE Civil 2024 Set 1 | Question: 16
A surveyor observes a zenith angle of $93^{\circ} 00^{\prime} 00^{\prime \prime}$ during a theodolite survey. The corresponding vertical angle is $-03^{\circ} 00^{\prime} 00^{\prime \prime}$ $+03^{\circ} 00^{\prime} 00^{\prime \prime}$ $-87^{\circ} 00^{\prime} 00^{\prime \prime}$ $+87^{\circ} 00^{\prime} 00^{\prime \prime}$
A surveyor observes a zenith angle of $93^{\circ} 00^{\prime} 00^{\prime \prime}$ during a theodolite survey. The corresponding vertical angle is$-03^{\circ} 00^{\prime} ...
admin
4.2k
points
admin
asked
Feb 16
Geomatics Engineering
gatecivil-2024-set1
theodolite-survey
surveying
zenith-angle
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votes
0
answers
1556
GATE Civil 2024 Set 1 | Question: 35
A map is prepared with a scale of $1: 1000$ and a contour interval of $1 \mathrm{~m}$. If the distance between two adjacent contours on the map is $10 \mathrm{~mm}$, the slope of the ground between the adjacent contours is $30 \%$ $10 \%$ $35 \%$ $40 \%$
A map is prepared with a scale of $1: 1000$ and a contour interval of $1 \mathrm{~m}$. If the distance between two adjacent contours on the map is $10 \...
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4.2k
points
admin
asked
Feb 16
Others
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1557
GATE Civil 2024 Set 1 | Question: 8
A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has unit cohesion of $40 \mathrm{kPa}$. Due to seasonal ... peak monsoon period, the net ultimate bearing capacity of the footing, as per Terzaghi's theory, will remain the same decrease increase become zero
A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has uni...
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4.2k
points
admin
asked
Feb 16
Soil Mechanics
gatecivil-2024-set1
terzaghi'
s-theory
soil-mechanics
bearing-capacity
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0
answers
1558
GATE Civil 2024 Set 1 | Question: 40
An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force of $1000 \mathrm{kN}$ acting at the bottom kern point of the beam cross-section. Also consider ... $\text{B}2$ is $\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
An inverted $\mathrm{T}$-shaped concrete beam $\text{(B1)}$ in the figure, with centroidal axis $\mathrm{X}-\mathrm{X}$, is subjected to an effective prestressing force o...
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GATE Civil 2024 Set 1 | Question: 2
The second-order differential equation in an unknown function $u: u(x, y)$ is defined as \[ \frac{\partial^{2} u}{\partial x^{2}}=2 \] Assuming $g: g(x), f: f(y)$, and $h: h(y)$, the general solution of the above differential equation is $u=x^{2}+f(y)+g(x)$ $u=x^{2}+x f(y)+h(y)$ $u=x^{2}+x f(y)+g(x)$ $u=x^{2}+f(y)+y g(x)$
The second-order differential equation in an unknown function $u: u(x, y)$ is defined as\[\frac{\partial^{2} u}{\partial x^{2}}=2\]Assuming $g: g(x), f: f(...
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GATE Civil 2024 Set 1 | Question: 37
The return period of a large earthquake for a given region is $200$ years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it will be exceeded at least once in $50$ years is $\_\_\_\_\_\_$ $\%$ (rounded off to the nearest integer).
The return period of a large earthquake for a given region is $200$ years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it wil...
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