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Match the process in Group I with the catalyst in Group II Group I ...
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If $a$ is a constant, then the value of the integral $a^{2}\int^\infty_0 xe^{-ax}dx$ is$1/a$$a$$1$$0$
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Match the raw materials of Group-$1$ and $2$ with the final products of Group-$3$$$\begin{array}&&\textbf{Group 1} & \textbf{Group 2} & \textbf{Group 3} \\ &\text{P$_{1}$...
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A process with transfer function, $G_{p}=\frac{2}{s-1}$ is to be controlled by a feedback proportional controller with a gain $K_{c}$. If the transfer functions of all ot...
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If $f*(x)$ is the complex conjugate of $f(x)=\cos(x) + i\: \sin(x)$, then for real $a$ and $b$, $\int _{a}^{b}f*\left ( x \right )f\left ( x \right )$ is $ALWAYS$positive...
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A unit gain 2$^{nd}$ order underdamped process has a period of oscillation 1 second and decay ratio 0.25. The transfer function of the process is$\frac{1}{0.024s^2 + 0.06...
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Given the sequence of terms, $\text{AD CG FK JP}$, the next term is$\text{OV}$$\text{OW}$$\text{PV}$$\text{PW}$
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A Newtonian fluid of viscosity $\mu$ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity $V$. The top...
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The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\...
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A step change of magnitude $2$ is introduced into a system having the following transfer function$$G\left ( s \right )=\frac{2}{s^{2}+2s+4}$$The percent overshoot is ____...
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Which $ONE$ of the following statements is $CORRECT$ for the surface renewal theory?Mass transfer takes place at steady stateMass transfer takes place at unsteady stateCo...
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In order to produce fine solid particles between $5$ and $10\:\ \mu m$, the appropriate size reducing equipment isfluid energy millhammer milljaw crushersmooth roll crush...
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A spherical storage vessel is quarter-filled with toluene. The diameter of the vent at the top of the vessel is $1/20^{th}$ of the diameter of the vessel. Under the stead...
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Gradient of a scalar variable is alwaysa vectora scalara dot productzero
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Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100 $^{o}$C to 1000 $^{o}$C. The sp...
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An equation of state is explicit in pressure $p$ and cubic in the specific volume $v$. At the critical point $‘c’$ , the isotherm passing through $‘c’$ satisfies$...
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If $i = \sqrt{-1}$, the value of the integral $$\oint_{c}\dfrac{7z + i}{z(z^2 + 1)}dz \quad\quad\quad\quad|z|<2$$,u...
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Consider a binary liquid mixture at equilibrium with its vapour at $25^{\circ}C$.Antoine equation for this system is given as $log_{10}\:p_{t}^{sat}=A-\frac{B}{t+C}$ wher...
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The bottom face of a horizontal slab of thickness $6 \:mm$ is maintained at $300^{\circ}C$. The top face is exposed to a flowing gas at $30^{\circ}C$. The thermal conduct...
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An incompressible fluid is flowing through a contraction section of length $L$ and has a $1-D$ ($x$- direction steady state velocity distribution, $u=u_{0}\left ( 1+\frac...
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A spherical ball of benzoic acid (diameter=$1.5\:cm$) is submerged in a pool of still water. The solubility and diffusively of benzoic acid in water are $0.03$ $k$mol/$m^...
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$\frac{Allengineering students }{I}$ $\frac{should learn mechanics}{II}$, $\frac{mathematics and}{III}$ $\frac{how to do computation}{IV}$Which of the above underlined pa...
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An incompressible Newtonian fluid , filled in an angular gap between two concentric cylinders of radii $R_{1}$ and $R_{2}$ as shown in the figure, is flowing under steady...
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For two rolls of a fair die, the probability of getting a 4 in the first roll and a number less than 4 in the second roll, up to 3 digits after the decimal point, is ____...
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The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15,respectively.what are the median and the mode for these data?18 and 11, respectively13 an...
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Choose the most appropriate word from the options given below to complete the following sentence.One of his biggest ______ was his ability to forgive.vicevirtueschoicesst...
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Catalytic cracking isa hydrogen addition processa carbon rejection processan exothermic processa coking process
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The gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions.(CH${_3}){_2}$N${_2}$ + (CH$...
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Match the following$\bf{Group 1}$ $\bf{Group 2}$(P) Viscosity (1) Pyrometer(Q) Pressure ...
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A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y = 2x – 0.1...
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The cost function for a product in a firm is given by $5q^{2}$, where q is the amount of production. The firm can sell the product at a market price of $₹50$ per unit. ...
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Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered $1,$ the floor above it $2,$ and so on). A...
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In a steady incompressible flow, the velocity distribution is given by $\bar{V}=3x\hat{i}-Py\hat{j}+5z\hat{k}$, where, $V$ is in $m/s$ and $x,y$ and $z$ are in $m$. In or...
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The differential equation $\frac{d^{2}y}{dx^{2}}+x^{2}\frac{dy}{dx}+x^{3}y=e^{x}$ is a non-linear differential equation of first degreelinear differential equation of fir...
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The integrating factor for the differential equation$\frac{dy}{dx}-\frac{y}{1+x}=\left ( 1+x \right )$ is$\frac{1}{1+x}$$(1+x)$$x(1+x)$$\frac{x}{1+x}$
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From the following list, identify the properties which are equal in both vapour and liquid phases at equilibriumDensityTemperatureChemical potentialEnthalpy$P$ and $Q$ on...
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The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...
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The purchase cost of a heat exchanger of 20 m$^{2}$ area was Rs 500000 in 2006. What will be the estimated cost (in Rs to the nearest integer) of a similar heat exchanger...
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A binary liquid mixture is in equilibrium with its vapor at a temperature T = 300 K. The liquid mole fraction x${_1}$ of species 1 is 0.4 and the molar excess Gibbs free ...
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The mass balance for a fluid with density ($\rho$) and velocity ($\overrightarrow{V}$) is$\frac{\partial\rho}{\partial{t}}$ + $\bigtriangledown$.($\rho\overrightarrow{V}$...