Recent questions tagged numerical-answers

Integration of $\ln (x)$ with $x$ i.e.,$$ \int \ln (x) d x= \_\_\_\_\_\_\_\_\_\_\_\_\_$$$x \cdot \ln (x)-x+$ Constant$x-\ln (x)+$ Constant$x \cdot \ln (x)+x+$ Constant$\l...

After applying the correction for elevation and temperature, the runway length is $700 \: \mathrm{m}$. The corrected runway length (in $\mathrm{m}$) for an effective grad...

The "order" of the following ordinary differential equation is $\_\_\_\_\_\_\_\_\_\_$$$\frac{d^{3} y}{d x^{3}}+\left(\frac{d^{2} y}{d x^{2}}\right)^{6}+\left(\frac{d y}{d...

From a flow-net diagram drawn under a concrete dam, following information are obtained: (i) The head difference between upstream and downstream side of the dam is $9 \: \...

A $6 \: \mathrm{m}$ thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete $50 \%$ consolidation is $...

A surveyor measured the distance between two points on the plan drawn to a scale of $1 \mathrm{~cm}=40 \mathrm{~m}$ and the result was $468 \: \mathrm{m}$. Later, it was ...

Consider flow in a long and very wide rectangular open channel. Width of the channel can be considered as infinity compared to the depth of flow. Uniform flow depth is $1...

Pick the CORRECT eigen value(s) of the matrix $[A]$ from the following choices.$$[A]=\left[\begin{array}{ll} 6 & 8 \\ 4 & 2 \end{array}\right]$$$10$$4$$-2$$-10$

The drag force, $F_{D}$ on a sphere due to a fluid flowing past the sphere is a function of viscosity, $\mu$, the mass density, $\rho$, the velocity of flow, $V$, and the...

The figure shows a network diagram for a construction project. The activities $\mathrm{A}$, $\mathrm{B}$, $\mathrm{C}, \mathrm{D}, \mathrm{E}$, and $\mathrm{F}$ are repre...

A designer used plate load test to obtain the value of the bearing capacity factor $N_{\gamma}$. A circular plate of $1 \: \mathrm{m}$ diameter was placed on the surface ...

A $4 \times 4$ group pile, with each pile $20 \: \mathrm{m}$ long and $500 \: \mathrm{mm}$ in diameter, is installed in a square pattern in a clayey soil, as shown in the...

A $60 \: \mathrm{cm}$ diameter well completely penetrates a confined aquifer of permeability $5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$. The length of the strainer (span...

The peak of flood hydrograph due to a $3$-hour duration storm in a catchment is $180 \mathrm{~m}^{3} / \mathrm{s}$. The total rainfall depth is $6.6 \: \mathrm{cm}$. It c...

The analyses results of a water sample are given below. The non-carbonate hardness of the water (in $\mathrm{mg} / \mathrm{L}$ ) as $\mathrm{CaCO}_{3}$ is $\_\_\_\_\_\_\_...

A community generates $1$ million litres/day (MLD) of wastewater. This wastewater is treated using activated sludge process (ASP). The working volume of the aeration tank...

On a two-lane highway, a horizontal curve of radius $300 \: \mathrm{m}$ is provided. The design speed is $80 \mathrm{~km} / \mathrm{h}$.If the longest wheelbase of vehicl...

If the Fore Bearing of the lines $AB$ and $BC$ are $60^{\circ}$ and $122^{\circ}$, respectively, then the interior angle $\angle \mathrm{ABC}$ (in degrees) is $\_\_\_\_\_...

​​​​​Suppose $\lambda$ is an eigenvalue of matrix $A$ and $x$ is the corresponding eigenvector. Let $x$ also be an eigenvector of the matrix $B=A-2 I$, where $I$ is the i...

​​​​Let $A=\left[\begin{array}{cc}1 & 1 \\ 1 & 3 \\ -2 & -3\end{array}\right]$ and $b=\left[\begin{array}{l}b_{1} \\ b_{2} \\ b_{3}\end{array}\right]$. For $A x=b$ to be ...

​​​​​For a flowing fluid, a dimensionless combination of velocity $(V)$, length scale $(l)$, and acceleration due to gravity $(g)$ would be$\frac{V^{2}}{g l}$$\frac{V g}{...

​​​​​Fecal Coliform (FC) concentration in river water was measured as $10780 \: \: \mathrm{cfu} / 100 \mathrm{ ml}$ . The FC concentration after the conventional water tr...

​​​​All the vehicles that come during a particular peak hour come during a $10$-minute period within this hour. The $15$-minute peak hour factor for this peak hour is$0.2...

​​​​​​The maximum degree of the curve that can be used for railways in a mountainous region is$10$$20$$50$$40$

​​​​​​If the quadrantal bearing of a line is $\mathrm{N} 30^{\circ} \mathrm{W}$, then the whole circle bearing of the line is$120^{\circ}$$210^{\circ}$$300^{\circ}$$330^{...

​​​​​​The Surface Overflow Rate (SOR) in a rectangular sedimentation tank is $45\: \mathrm{m}^{3} / \mathrm{m}^{2} / \mathrm{d}$. Minimum diameters of spherical inorganic...