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For any particular location, which of the following would influence the solar radiation incident on a rooftop solar water heater? Heater surface temperature Day of the ye...
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Consider a function $y=f(x)$ which satisfies the following equation:$\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0$ As $x \rightarrow-\infty, y=1$, and at $x=0, y=2$.The valu...
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The concentration of $\mathrm{NO}_{2}$ in the air at $\mathrm{NTP}$ is reported as $0.30$ ppmv $\text{(ppm by volume)}$. The concentration of $\mathrm{NO}_{2} \mathrm{in}...
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Two reservoirs are connected by a pipeline consisting of two pipes '$\text{A}$ ' and '$\text{B}$ ' in series. The two pipes are of same length and have the same Darcy fri...
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In open channel flow, the specific energy is the total energy per unit weight of a liquid, where the component potential energy is measured from the bed of the channel as...
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In a field test of a geological formation of permeable soil (porosity = $20 \%$ ), the hydraulic gradient was found to be $2 \%$. The actual seepage velocity of the flow ...
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An underground hazardous waste storage tank is leaking. The contaminant concentration directly beneath the site is $0.5 \mathrm{mg} / \mathrm{L}$. The contaminant is trav...
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A $900 \mathrm{~mm}$ internal diameter sewer is laid at a slope of $0.004$ and has an actual flow of $0.15 \mathrm{~m}^3 / \mathrm{s}$. Assuming Manning's roughness coeff...
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The net profit expected from a manufacturing unit is ₹$6000$ per year. The operational life of the unit is $15$ years. Assuming a fixed discount rate of $8 \%$ per annum,...
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A $10$ million litres per day $\text{(MLD)}$ sewage treatment plant $\text{(STP)}$ is based on the Activated Sludge Process $\text{(ASP)}$. First, the sewage undergoes pr...
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The municipal solid waste $\text{(MSW)}$ generated in a community $\text{(population =(100000)}$ is disposed on a $12 \times 10^4 \mathrm{m}^2$ landfill site, which can b...
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A mechanized stationary container system is proposed for waste collection from a commercial area. The container unloading time is $0.1$ hours per container. There are two...
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Excess amount of solid calcium sulphate $\left(\mathrm{CaSO}_4\right)$ was added to a pure water sample $(\mathrm{pH}=7)$ so that some solids remain undissolved at the eq...
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The molar concentrations $(M$, i.e. $m o l / L)$ of some ionic species in a water sample were estimated as follows:$\mathrm{Na}^{+}=0.25{\mathrm{M} ; \mathrm{Ca}^{2+}}^{2...
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A facultative pond system for sewage treatment consists of two ponds in series. The hydraulic retention time $\text{(HRT)}$ of each pond is $6$ days. The total $\text{BOD...
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A student reported following arsenic concentrations in water samples:$$\begin{array}{|l|l|l|l|l|l|l|l|}\hline \text{Arsenic concentration (mg/L)} & 0.10 & 0.12 & 0.20 & 0...
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Assuming $\mathrm{s}>0$; Laplace transform for $f(x)=\sin a x$ is$\frac{a}{s^{2}+a^{2}}$$\frac{s}{s^{2}+a^{2}}$$\frac{a}{s^{2}-a^{2}}$$\frac{s}{s^{2}-a^{2}}$
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$\mathrm{X}$ is normally distributed with following data $(25.8,36.6,26.3,21.8,27.2)$. Select the correct statement about $X\left(\mathrm{t}_{\text {crit }, \alpha}=0.05,...
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Given $\mathbf{P}$ is $m \times n$ matrix, $\mathbf{Q}$ is $n \times l$ matrix, $\mathbf{R}$ and $\mathbf{S}$ are $n \times n$ matrices, and superscript $\mathrm{T}$ deno...
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Ten litres of the sample was filtered through a membrane filter and the filter was transferred to solid agar media which supports growth of coliform organisms. After incu...