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GATE Civil 2022 Set 2 | Question: 1
The function $f(x,y)$ satisfies the Laplace equation $\bigtriangledown^{2}f(x,y) = 0$ on a circular domain of radius $r=1$ with its center at point $P$ with coordinates $x=0, y=0.$ The value of this function on the circular boundary of this domain is equal to $3.$ The numerical value of $f(0,0)$ is: $0$ $2$ $3$ $1$
The function $f(x,y)$ satisfies the Laplace equation $$\bigtriangledown^{2}f(x,y) = 0$$on a circular domain of radius $r=1$ with its center at point $P$ with coordinates$...
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GATE Civil 2023 Set 2 | Question: 50
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil $1$ and Soil $2,$ are $10 \mathrm{~mm} / \mathrm{s}$ and $1 \mathrm{~mm} / \mathrm{s}$, respectively. Assume ... total head (in $\mathrm{m}$, rounded off to two decimal places) at any point located at the junction of the two samples? _____________
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil $1$ and Soil $2,$ are $10 \mathrm{~mm} / \mathrm{s}$ and...
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GATE Civil 2022 Set 2 | Question: 8
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} > \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\sigma_{3},$ respectively. Considering the compressive stresses as positive, which one of the following ... $\tan^{-1} \left( \frac{\tau_{zx}} {\sigma_{1} + \sigma_{3}} \right)$
Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\si...
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GATE Civil 2023 Set 2 | Question: 12
In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the __________. time spent by the transport truck at the disposal site time spent by the transport truck in ... at a pickup point time spent by the transport truck in driving from the depot to the first pickup point
In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the __________.time spent by the transport ...
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GATE 2018 civil
How much rank can be expected at 66.67 marks in GATE 2018 set 2? It is showing 560-790 in civil gate overflow but the prediction is done with only 23k students.
How much rank can be expected at 66.67 marks in GATE 2018 set 2?It is showing 560-790 in civil gate overflow but the prediction is done with only 23k students.
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GATE Civil 2022 Set 2 | Question: 12
A process equipment emits $5 \; \text{kg/h}$ of volatile organic compounds $\text{(VOCs)}$. If a hood placed over the process equipment captures $95\%$ of the $\text{VOCs},$ then the fugitive emission in $\text{kg/h}$ is $0.25$ $4.75$ $2.50$ $0.48$
A process equipment emits $5 \; \text{kg/h}$ of volatile organic compounds $\text{(VOCs)}$. If a hood placed over the process equipment captures $95\%$ of the $\text{VOCs...
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GATE Civil 2023 Set 2 | Question: 54
The theoretical aerobic oxidation of biomass $\left(\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mathrm{~N}\right)$ ... $14 \mathrm{~g} / \mathrm{mol}$, respectively]
The theoretical aerobic oxidation of biomass $\left(\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mathrm{~N}\right)$ is given below:$\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mat...
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GATE Civil 2023 Set 2 | Question: 8
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a particular depth is $28.$ If an automatic hammer dropping system with $70 \%$ efficiency is used at the same location, the recorded SPT value will be ____________. $28$ $20$ $40$ $25$
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with $50 \%$ efficiency. The recorded SPT value at a p...
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GATE Civil 2022 Set 2 | Question: 15
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct? If $\text{P}$ and $\text{Q}$ are invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$ If $\text{P}$ and $\text{Q}$ are ... $\text{P}$ and $\text{Q}$ are not invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct?If $\text{P}$ and $\text{Q}$ are invertible, then ...
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GATE Civil 2022 Set 2 | Question: 6
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are $2$ and $1$ $2$ and $0$ $1$ and $2$ $2$ and $2$
Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degre...
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GATE Civil 2023 Set 2 | Question: 18
The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are: Variation of friction angle along the width of the footing Variation of soil ... Variation of friction angle along the depth of the footing Variation of soil stiffness along the depth of the footing
The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:Variation o...
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GATE Civil 2022 Set 2 | Question: 7
Read the following statements: While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity. For slope stability of an earthen dam, sudden drawdown is never a critical condition. In a sandy sea beach, quicksand condition ... $\text{(P)-False, (Q)-True, (R)-False, (S)-False}$
Read the following statements:While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.For slope sta...
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GATE Civil 2023 Set 2 | Question: 16
In the frame shown in the figure (not to scale), all four members $\text{(AB, } \mathrm{BC}, \mathrm{CD}$, and $\mathrm{AD})$ have the same length and same constant flexural rigidity. All the joints $\text{A, B}$, $\mathrm{C}$, and $\mathrm{D}$ are ... $\mathrm{F}$ are zero Slopes at $\mathrm{E}, \mathrm{F}, \mathrm{G}$, and $\mathrm{H}$ are zero
In the frame shown in the figure (not to scale), all four members $\text{(AB, } \mathrm{BC}, \mathrm{CD}$, and $\mathrm{AD})$ have the same length and same constant flexu...
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GATE Civil 2022 Set 2 | Question: 3
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is $G= \frac{E}{2(1+\nu)}$ $G= \frac{E}{(1+2\nu)}$ $E= \frac{G}{2(1+\nu)}$ $E= \frac{G}{(1+2\nu)}$
For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is$G...
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GATE Civil 2022 Set 2 | Question: 5
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties): ... $\text{(i) - (T), (ii) - (S), (iii) - (P) and (Q)}$
Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties):$$\begin{array} {|l|l|} \hline \textbf{Column X} & \qquad \textbf...
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GATE Civil 2022 Set 2 | Question: 14
If the magnetic bearing of the Sun at a place at noon is $\text{S} \; 2^{\circ} \; \text{E},$ the magnetic declination (in $\textbf{degrees}$) at that place is $2^{\circ} \; \text{E}$ $2^{\circ} \; \text{W}$ $4^{\circ} \; \text{E}$ $4^{\circ} \; \text{W}$
If the magnetic bearing of the Sun at a place at noon is $\text{S} \; 2^{\circ} \; \text{E},$ the magnetic declination (in $\textbf{degrees}$) at that place is$2^{\circ} ...
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GATE Civil 2022 Set 2 | Question: 17
To design an optimum municipal solid waste collection route, which of the following is/are $\text{NOT}$ desired: Collection vehicle should not travel twice down the same street in a day. Waste collection on congested roads should not occur ... uphill direction. The last collection point on a route should be as close as possible to the waste disposal facility.
To design an optimum municipal solid waste collection route, which of the following is/are $\text{NOT}$ desired:Collection vehicle should not travel twice down the same s...
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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)
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 d...
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GATE Civil 2023 Set 2 | Question: 3
A remote village has exactly $1000$ vehicles with sequential registration numbers starting from $ 1000.$ Out of the total vehicles, $ 30 \% $ are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on ... date, the number of vehicles expected without pollution clearance certificate is ___________. $15$ $30$ $50$ $70$
A remote village has exactly $1000$ vehicles with sequential registration numbers starting from $ 1000.$ Out of the total vehicles, $ 30 \% $ are without pollution clear...
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GATE Civil 2023 Set 2 | Question: 15
For the matrix $[A]=\left[\begin{array}{ccc} 1 & -1 & 0 \\ -1 & 2 & -1 \\ 0 & -1 & 1 \end{array}\right]$ which of the following statements is/are TRUE? $[A]\{x\}=\{b\}$ has a unique solution $[A]\{x\}=\{b\}$ does not have a unique solution $[A]$ has three linearly independent eigenvectors $[A]$ is a positive definite matrix
For the matrix$[A]=\left[\begin{array}{ccc}1 & -1 & 0 \\-1 & 2 & -1 \\0 & -1 & 1\end{array}\right]$which of the following statements is/are TRUE?$[A]\{x\}=\{b\}$ has a un...
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GATE Civil 2022 Set 2 | Question: 2
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to $\frac{1}{1+x} + $ Constant $\frac{1}{1+x^{2}} + $ Constant $-\frac{1}{1-x} + $ Constant $-\frac{1}{1-x^{2}} + $ Constant
$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to$\frac{1}{1+x} + $ Constant$\frac{1}{1+x^{2}} + $ Cons...
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GATE Civil 2022 Set 2 | Question: 21
The inside diameter of a sample tube is $50 \; \text{mm}.$ The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio $\text{(ICR)}$ is $1.0 \%$ to minimize the friction on the sample as the sampler tube enters into the soil. The inside diameter (in $\text{mm}$) of the cutting edge is _______________. (round off to two decimal places)
The inside diameter of a sample tube is $50 \; \text{mm}.$ The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio $\text{(ICR)}$ is $1.0 \%$...
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GATE Civil 2022 Set 2 | Question: 4
Read the following statements relating to flexure of reinforced concrete beams: In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel. In under-reinforced sections, steel reaches yielding at a load lower than the load at which ... $\text{I(False), II(True), III(True), IV(False)}$
Read the following statements relating to flexure of reinforced concrete beams:In over-reinforced sections, the failure strain in concrete reaches earlier than the yield ...
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GATE Civil 2023 Set 2 | Question: 19
Which of the following is/are NOT active disinfectant(s) in water treatment? $\cdot \mathrm{OH}$ (hydroxyl radical) $\mathrm{O}_{3}$ (ozone) $\mathrm{OCl}^{-}$(hypochlorite ion) $\mathrm{Cl}^{-}$(chloride ion)
Which of the following is/are NOT active disinfectant(s) in water treatment? $\cdot \mathrm{OH}$ (hydroxyl radical)$\mathrm{O}_{3}$ (ozone) $\mathrm{OCl}^{-}$(hypochlorit...
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GATE Civil 2023 Set 2 | Question: 28
Cholesky decomposition is carried out on the following square matrix $[A]$. $[A]=\left[\begin{array}{cc} 8 & -5 \\ -5 & a_{22} \end{array}\right]$ Let $l_{\mathrm{ij}}$ and $a_{\mathrm{ij}}$ ... $[L]$ is $1.968,$ what is the value (rounded off to the nearest integer) of the element $a_{22}$? $5$ $7$ $9$ $11$
Cholesky decomposition is carried out on the following square matrix $[A]$.$$[A]=\left[\begin{array}{cc}8 & -5 \\-5 & a_{22}\end{array}\right]$$Let $l_{\mathrm{ij}}$ and ...
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GATE Civil 2022 Set 2 | Question: 20
The components of pure shear strain in a sheared material are given in the matrix form: $ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$ Here, $\text{Trace}(\varepsilon) = 0.$ Given, $ P = \text{Trace}(\varepsilon^{8})$ and $Q = \text{Trace}(\varepsilon^{11}).$ The numerical value of $(P + Q)$ is _____________. (in integer)
The components of pure shear strain in a sheared material are given in the matrix form:$$ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$$Here, $\text{Tra...
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GATE Civil 2022 Set 2 | Question: 11
The dimension of dynamic viscosity is: $\text{ML}^{-1} \text{T}^{-1}$ $\text{ML}^{-1} \text{T}^{-2}$ $\text{ML}^{-2} \text{T}^{-2}$ $\text{ML}^{0} \text{T}^{-1}$
The dimension of dynamic viscosity is:$\text{ML}^{-1} \text{T}^{-1}$$\text{ML}^{-1} \text{T}^{-2}$$\text{ML}^{-2} \text{T}^{-2}$$\text{ML}^{0} \text{T}^{-1}$
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GATE Civil 2023 Set 2 | Question: 20
As per the Indian Roads Congress guidelines $\text{(IRC 86: 2018),}$ extra widening depends on which of the following parameters? Horizontal curve radius Superelevation Number of lanes Longitudinal gradient
As per the Indian Roads Congress guidelines $\text{(IRC 86: 2018),}$ extra widening depends on which of the following parameters? Horizontal curve radius Superelevation N...
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GATE Civil 2022 Set 2 | Question: 13
Match the following attributes of a city with the appropriate scale of measurements. ... $\text{(P)-(I), (Q)-(II), (R)-(III), (S)-(IV)}$
Match the following attributes of a city with the appropriate scale of measurements.$$\begin{array} {|l|l|} \hline \qquad \qquad \qquad \textbf{Attribute} & \textbf{ Sca...
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GATE Civil 2023 Set 2 | Question: 2
Which of the following probability distribution functions (PDFs) has the mean greater than the median? Function $1$ Function $2$ Function $3$ Function $4$
Which of the following probability distribution functions (PDFs) has the mean greater than the median?Function $1$Function $2$Function $3$Function $4$
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GATE Civil 2022 Set 2 | Question: 9
Match $\textbf{Column X}$ and $\textbf{Column Y}:$ ... $\text{(P)-(III), (Q)-(IV), (R)-(I), (S)-(V), (T)-(II)}$
Match $\textbf{Column X}$ and $\textbf{Column Y}:$$$\begin{array} {|l|l|} \hline \quad \textbf{Column X} & \qquad \textbf{Column Y} \\\hline \text{(P) Horton equation} ...
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GATE Civil 2022 Set 2 | Question: 19
The error in measuring the radius of a $5 \; \text{cm}$ circular rod was $0.2 \%.$ If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is ____________. (round off to two decimal places)
The error in measuring the radius of a $5 \; \text{cm}$ circular rod was $0.2 \%.$ If the cross-sectional area of the rod was calculated using this measurement, then the ...
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GATE Civil 2023 Set 2 | Question: 25
If the size of the ground area is $6 \mathrm{~km} \times 3 \mathrm{~km}$ and the corresponding photo size in the aerial photograph is $30 \mathrm{~cm} \times 15 \mathrm{~cm}$, then the scale of the photograph is $1 :$ ____________ (in integer).
If the size of the ground area is $6 \mathrm{~km} \times 3 \mathrm{~km}$ and the corresponding photo size in the aerial photograph is $30 \mathrm{~cm} \times 15 \mathrm{~...
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GATE Civil 2022 Set 2 | Question: 16
In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ respectively. Similarly, the energy contents $\text{(EC)}$ of plastic waste, food waste and ... $\text{ECpp > ECf > ECg}$ $\text{MCf < MCp < MCg}$ $\text{ECpp < ECf < ECg}$
In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ ...
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GATE Civil 2022 Set 2 | Question: 18
For a traffic stream, $v$ is the space mean speed, $k$ is the density, $q$ is the flow, $\nu_{f}$ is the free flow speed, and $k_{j}$ ... $q =k_{j}v - \left( \frac{k_{j}}{v_{f}} \right) v^{2}$
For a traffic stream, $v$ is the space mean speed, $k$ is the density, $q$ is the flow, $\nu_{f}$ is the free flow speed, and $k_{j}$ is the jam density. Assume that the ...
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GATE Civil 2023 Set 2 | Question: 6
When a simply-supported elastic beam of span $L$ and flexural rigidity $E I$ ( $E$ is the modulus of elasticity and $I$ is the moment of inertia of the section) is loaded with a uniformly distributed load $w$ per unit length, the deflection at ... to a value less than $\Delta_0 / 2$ reduces to a value greater than $\Delta_0 / 2$ remains unchanged at $\Delta_0$
When a simply-supported elastic beam of span $L$ and flexural rigidity $E I$ ( $E$ is the modulus of elasticity and $I$ is the moment of inertia of the section) is loaded...
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GATE Civil 2022 Set 2 | Question: 22
A concentrically loaded isolated square footing of size $2 \; \text{m} \times 2 \; \text{m}$ carries a concentrated vertical load of $1000 \; \text{kN}.$ Considering Boussinesq's theory of stress distributed, the maximum depth (in ... pressure bulb corresponding to $10 \%$ of the vertical load intensity will be ____________. (round off to two decimal places)
A concentrically loaded isolated square footing of size $2 \; \text{m} \times 2 \; \text{m}$ carries a concentrated vertical load of $1000 \; \text{kN}.$ Considering Bous...
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GATE Civil 2023 Set 2 | Question: 5
$\text{M20}$ concrete as per $\mathrm{IS~} 456: 2000$ refers to concrete with a design mix having ____________ an average cube strength of $20~ \mathrm{MPa}$ an average cylinder strength of $20~ \mathrm{MPa}$ a $5$-percentile cube strength of $20~ \mathrm{MPa}$ a $5$-percentile cylinder strength of $20~ \mathrm{MPa}$
$\text{M20}$ concrete as per $\mathrm{IS~} 456: 2000$ refers to concrete with a design mix having ____________an average cube strength of $20~ \mathrm{MPa}$an average cyl...
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GATE Civil 2022 Set 2 | Question: 10
In a certain month, the reference crop evapotranspiration at a location is $6 \; \text{mm/day.}$ If the crop coefficient and soil coefficient are $1.2$ and $0.8,$ respectively, the actual evapotranspiration in $\text{mm/day}$ is $5.76$ $7.20$ $6.80$ $8.00$
In a certain month, the reference crop evapotranspiration at a location is $6 \; \text{mm/day.}$ If the crop coefficient and soil coefficient are $1.2$ and $0.8,$ respect...
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GATE Civil 2022 Set 2 | Question: 27
An undamped spring-mass system with mass $m$ and spring stiffness $k$ is shown in the figure. The natural frequency and natural period of this system are $\omega \; \text{rad/s}$ and $T \; \text{s},$ respectively. If the stiffness of the spring is doubled and the mass is ... $T/4 \; \text{s}$ $ \omega \; \text{rad/s}$ and $T \; \text{s}$
An undamped spring-mass system with mass $m$ and spring stiffness $k$ is shown in the figure. The natural frequency and natural period of this system are $\omega \; \text...
Arjun
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Arjun
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Feb 15, 2022
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