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A fine-grained soil has $60 \%$ (by weight) slit content. The soil behaves as $\textit{semi-solid}$ when water content is between $15 \%$ and $28 \%$. The soil behaves $\...
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Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?Seepage velocity is always smaller than discharge velocitySeepa...
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Which of the following statements is TRUE for degree of disturbance of collected soil sample?Thinner the sampler wall, lower the degree of disturbance of collected soil s...
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In an unconsolidated undrained triaxial test, it is observed that an increase in cell pressure from $150$ kPa to $250$ kPa leads to a pore pressure increase $80$ kPa. It ...
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Which of the following statements is NOT correct?Loose sand exhibits contractive behavior upon shearingDense sand when sheared under undrained condition, may lead to gene...
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In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies a...
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For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be:from higher to lower elevationfrom higher to lower ...
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A circular pipe has a diameter of $1$ m, bed slope of $1$ in $1000$, and Manning’s roughness coefficient equal to $0.01$. It may be treated as an open channel flow when i...
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The two columns below show some parameters and their possible values.$\begin{array}{ll} \textbf{Parameter} & \textbf{Value} \\ P – \text{ Gross Command Area} & I – 100 \t...
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Total Kjeldahl Nitrogen (TKN) concentration (mg/L as N) in domestic sewage is the sum of the concentrations oforganic and inorganic nitrogen in sewageorganic nitrogen and...
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Solid waste generated from an industry contains only two components, X and Y as shown in the table below.$$\begin{array}{ccc} \textbf{Component} & \textbf{Composition} & ...
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The penetration value of a bitumen sample tested at $25^{\circ}C$ is $80$. When this sample is heated to $60^{\circ}C$ and tested again, the needle of the penetration tes...
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Which of the following statements CANNOT be used to describe free flow speed $(u_f)$ of a traffic stream?$(u_f)$ is the speed when flow is negligible$(u_f)$ is the speed ...
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Which of the following statements is FALSE?Plumb line is along the direction of gravityMean Sea Level (MSL) is used as a reference surface for establishing the horizontal...
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In a closed loop traverse of $1$ km total length, the closing errors in departure and latitude are $0.3$ m and $0.4$ m, respectively. The relative precision of this trave...
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The smallest and largest Eigen values of the following matrix are:$\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$$1.5$ and $2.5$$0.5$ and $2.5$$1.0...
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The quadratic equation $x^2 – 4x +4 =0$ is to be solved numerically, starting with the initial guess $x_0=3$. The Newton-Raphson method is applied once to get a new estim...
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Consider the following differential equation:$$x(y\:dx +x\:dy) \cos \dfrac{y}{x}=y(x\:dy-y\:dx) \sin \dfrac{y}{x}$$Which of the following is the solution of the above equ...
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Consider the following complex function:$$f(z) = \frac{9}{(z-1)(z+2)^2}$$Which of the following is one of the residues of the above function?$-1$$9/16$$2$$9$
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The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.
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The composition of an air-entrained concrete is given below:$\begin{array}{lcr} \text{Water} & : & 184 \: kg/m^3 \\ \text{Ordinary Portland Cement (OPC)} & : & 368 \: kg/...
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The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ...
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Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from $IS:456-2000$ are also given below (right fi...
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For formation of $\textit{collapse mechanism}$ in the following figure, the minimum value of $P_u$ is $cM_p/L$. $M_p$ and $3M_p$ denote the plastic moment capacities of b...
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A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both...
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Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the ...
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For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section ...
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An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is $5000 \: m^3$ and the target dry unit weight is $16.2 \: kN/m^3...
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A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter $3$ m and depth of embedment $1$ m has been designed to su...
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A $20$ m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences $30$ mm settlement in $2$ years.Given:$T_v = \begin{ca...
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A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is $10$ times t...
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A square footing $(2\:m \times 2\:m)$ is subjected to an inclined point load, $P$ as shown in the figure below. The water table is located well below the base of the foot...
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Two reservoirs are connected through a $930$ m long, $0.3$ m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient $=0.5$) and the valve is ...
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A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectivel...
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A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$...
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The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosi...
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In a catchment, there are four rain-gauge stations, $P, Q, R$, and $S$. Normal annual precipitation values at these stations are $780$ mm, $850$ mm, $920$ mm, and $980$ m...
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The $4$-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S – curve (in $m^3/s$) derived from this hydrograph?$$\b...
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The concentration of Sulfur Dioxide $(SO_2)$ in ambient atmosphere was measured as $30 \: \mu g /m^3$. Under the same conditions, the above $SO_2$ concentration expressed...
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Consider a primary sedimentation tank (PST) in a water treatment plant with Surface Overflow Rate (SOR) of $40\:m^3/m^2/d$. The diameter of the spherical particle which w...