Questions by Arjun

A hydraulic jump takes place in a $6 \; \text{m}$ wide rectangular channel at a point where the upstream depth is $0.5 \; \text{m}$ (just before the jump). If the dischar...

A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop o...

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...

At a municipal waste handling facility, $30$ metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found t...

A sewage treatment plant receives sewage at a flow rate of $5000 \; \text{m}^{3}\text{/day}.$ The total suspended solids $\text{(TSS)}$ concentration in the sewage at the...

A sample of air analyzed at $25 \; ^{\circ}\text{C}$ and $1 \; \text{atm}$ pressure is reported to contain $0.04 \; \text{ppm}$ of $\text{SO}_{2}.$ Atomic mass of $\text{...

Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams $\text{(P)}$ and $\text{(Q)}$ as shown in the schema...

It is given that an aggregate mix has $260 \; \text{grams}$ of coarse aggregates and $240 \; \text{grams}$ of fine aggregates. The specific gravities of the coarse and fi...

Consider the following expression: $$z = \sin \left ( y + it \right ) + \cos \left ( y - it \right )$$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a...

For the equation $$\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$$ the correct description isan ordinary differential equation of order...

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is$7...

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio ofYoung's modulus of elasticity of reinforcement material to Young's mo...

Which of the following equations is correct for the Pozzolanic reaction?$\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$$\text{Ca(OH)}_...

Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the poi...

Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents...

Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must...

With respect to fluid flow, match the following in Column $X$ with Column $Y$:$$\begin{array}{|l|l|} \hline \qquad \textbf{Column X} & \qquad \textbf{Column Y} \\ \hline...

Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following s...

​​​​​​A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting $\te...

The total hardness in raw water is $500$ milligram per liter as $CaCO_{3}$. The total hardness of this raw water, expressed in milligram equivalent per liter, is(Consider...

An aerial photograph is taken from a flight at a height of $3.5$ $\text{km}$ above mean sea level, using a camera of focal length $152$ $\text{mm}$. If the average ground...

A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$.The correc...

For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For th...

A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature?Decrease the design...

Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $$x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P...

The Fourier cosine series of a function is given by : $$f\left ( x \right ) = \sum_{n = 0}^{\infty} f_{n} \cos nx$$ For $f\left ( x \right ) = \cos^{4} x$, the numerical ...