Recent activity by Shri 1

In an industry, a cyclone collector with $80 \%$ efficiency is installed for air purification, followed by an electrostatic precipitator with $50 \%$ efficiency. The conc...

Anaerobic bacteria are being utilized for the destruction of biodegradable organic content of wastewater measured in terms of Chemical Oxygen Demand (COD). The yield coef...

The analysis of major cations and anions in a water sample collected from a city's water supply is given below. Ions present in minor concentrations are not given.\[\begi...

Interior angles measured at the locations of a closed traverse $\text{ABCDA}$ are given in table below.\[\begin{array}{|c|c|}\hline\text{Location} & \text{Interior angle}...

A vertical curve is formed by a descending gradient of $1$ in $40$ meeting an ascending gradient of $1$ in $50$. Consider the following:Stopping Sight Distance $(\mathrm{...

For a given traffic stream, the speed-density relationship is given as:\[v=v_{o} \ln \left(\frac{k_{j}}{k}\right)\]where $v$ is the mean speed (in $\mathrm{km} / \mathrm{...

A soil sample has following properties:Natural water content $=30$ $\%$Plasticity index $=40$ $\%$Liquidity index $=50$ $\%$The estimated plastic limit (in $\%$) of the s...

A building is proposed in an area having thick deposit of silty clay. The water table is at the ground surface. The saturated unit weight of soil is $18 ~\mathrm{kN} / \m...

The ultimate bearing capacity of a $1 \text{ m}$ wide strip footing is $532.80 \text{ kPa}$ , when it is embedded at $1 \text{ m}$ depth in dry cohesionless soil. The soi...

For a clayey soil stratum, the time required for degree of consolidation from $25 \%$ to $50 \%$ is $30$ days.The total time (in days) required for $90 \%$ degree of cons...

The flow depth for a discharge of $10 \mathrm{~m}^{3} / \mathrm{s}$ in a wide rectangular channel is $2.0 \text{ m}$. Assume that the flow is uniform.If the discharge is ...

A centrifugal pump is delivering water from an underground tank to an overhead reservoir against a static head of $35$ m through a $2$ km long, $250$ mm diameter pipe. Th...

The cross section of a $0.5$ m wide vertical gate holding water and oil is shown in the figure. The unit weights of water and oil are $10 ~\mathrm{kN} / \mathrm{m}^{3}$ a...

Width (in m) of a rectangular channel required to carry a discharge of $96 \mathrm{~m}^{3} / \mathrm{s}$ at a critical depth of $9.8 \text{ m}$ is $\_\_\_\_$ (rounded off...

A simply-supported rectangular reinforced concrete beam has a width $250$ mm and an overall depth $600$ mm . The effective span of the beam is $6.23$ m. The beam carries ...

Linearly elastic, homogeneous, uniform bars $\text{BCD}$ and $\text{FG}$ shown in the figure have fixed supports at $\text{B}$ and $\text{G}$, respectively. For both the ...

A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length $L$. The frame has a fixed support at one end and a roller support at the ...

A $250 \mathrm{~mm}$ wide $\times 600 \mathrm{~mm}$ deep rectangular concrete beam is prestressed by means of $4$ high-tensile tendons, each of $14 \mathrm{~mm}$ diameter...

The age (in years) of a population is normally distributed with a mean of $36$ and standard deviation of $12$. The height (in cm) of the same population is also normally ...

Consider differential equation $\dfrac{d y}{d x}+x y=x$ with the condition as $y=0$ at $x=0$. The value of $y$ at $x=1.0$ is $\_\_\_\_$ (rounded off to two decimal places...

Which of the following statements is/are TRUE with respect to the type of stresses to be considered for the design of rigid pavements?Warping stress due to temperature di...

A shallow footing is subjected to a vertical load. Within the elastic limit of the underlying soil, the TRUE statement(s) is/are:Vertical displacement below a rigid shall...

Types of flood routing and methods are given in the table below.\[\begin{array}{|l|l|}\hline\begin{array}{l}\text{Column 1}\\\text{Type of Flood Routing}\end{array}&\begi...

The $2.4$ ml of raw sewage is diluted to $240$ ml. The Dissolved Oxygen (DO) of the diluted sample at the beginning of Biochemical Oxygen Demand (BOD) test was $8 \mathrm...

For the traverse given below, the benchmark is at ground point $\text{L}$. The Reduced Level (RL) of $\text{L}$ is $150.000$ m. The direction of the traverse is from $\te...

Consider the following statements with respect to rigid pavements:Statement-$1$: Bottom-up cracking (BUC) in rigid pavements is caused at the edge of the slab due to comb...

The plane truss shown in the figure is hinge-supported at $\text{E}$ and $\text{F}$. The truss is subjected to vertical downward force at $\text{R}$ and horizontal force ...

A simply supported, linearly elastic, homogeneous, prismatic beam of length $L$ and flexural rigidity $E I$ is shown in the figure.The expression for the Influence Line D...

Vector field $\vec{V}$ is defined as\[\vec{V}=3 x^{2} y z \hat{\imath}-5 x y \hat{\jmath}+6 y z^{2} \hat{k}\]The curl of $\vec{V}$ at point $(2,-1,1)$ is$6 \hat{\imath}-1...

Let $f(x)=\left|\begin{array}{ccc}x^{3} & \sin x & \cos x \\ 6 & -1 & 0 \\ p & p^{2} & p^{3}\end{array}\right|$ where $p$ is a constant.The value of $\dfrac{d^{3}}{d x^{3...

A tourist visiting a city holds a map prepared at a scale of $1: 25000$. The tourist measures the distance between place $\text{A}$ and place $\text{B}$ in the city as $1...

A downgrade of $1$ in $100$ meets an upgrade of $1$ in $125$ on a road. If the rate of change of grade is $0.10 \%$ per $30$ m, the length (in m ) of the vertical curve b...

A fully saturated sandy soil deposit has water content $20 ~\%$ and specific gravity $2.65$.The critical hydraulic gradient for seepage through the soil to create the qui...

The probability (in $\%$) that a storm having return period of $15$ years may occur in the next $10$ years is $\_\_\_\_$ (rounded off to two decimal places).

A partial differential equation is given below.\[\frac{\partial^{2} u}{\partial x^{2}}-\frac{\partial^{2} u}{\partial y^{2}}=0\]Possible solution(s) is/are:$(x+y)^{5}$$(x...

The grown algae are useful in the operation ofoxidation pond.slow sand filter.cyclone separator.septic tank.

One-third of the solid matter in a sludge containing $90 \%$ water is composed of fixed mineral solids with specific gravity $2.5$, and two-third is composed of volatile ...

Column $\text{I}$ presents common air pollutants, and column $\text{II}$ presents treatment technologies commonly employed to control air pollutants.\[\begin{array}{|c|l|...

An incident occurred on one side of a median on a four-lane dual carriageway road section. This incident disrupted the traffic movement in one direction. Traffic police d...

Information related to foundation design is provided in table below.\[\begin{array}{|l|l|}\hline\text{Column 1} & \text{Column 2} \\\hline\text{(I) Converse-Labarre formu...

Based on the Casagrande's plasticity chart, plasticity index (in $\%$) of inorganic clays having a liquid limit of $40 \%$, ranges between$18.0$ and $28.8$$14.6$ and $28....

Following statements are made with respect to the mass curve of rainfall:Slope at a point on the curve can be positive.Slope at a point on the curve can be zero.Which one...

The Culturable Command Area (CCA) for a canal is $10000$ hectares. The base period for a crop in the CCA is $140$ days. Watering depth for the crop is $40$ cm. The outlet...

The horizontal beam shown in the figure has fixed supports at $\text{F}$ and $\text{L}.$ Internal hinges are provided at locations $\text{G}$ and $\text{J}$. The beam sup...

Which one of the following stress conditions represents the state of pure shear stress?

A plane strain problem (in $\text{X - Y}$ plane) must satisfy the condition:$\sigma_{z z}=0$$\epsilon_{z z}=\epsilon_{x z}=\epsilon_{y z}=0$$\sigma_{x x} \neq \sigma_{x y...