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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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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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Which of the following statements are TRUE?P.The eigenvalues of a symmetric matrix are realQ.The value of the determinant of an orthogonal matrix can only be +1R.The tr...
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Consider the following $(2\times2)$ matrix $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$Whi...
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In a laboratory batch setup, reaction of $P$ over a catalyst was studied at various temperature. The reactions occurring are$$P\rightarrow 2Q\:;\:P\rightarrow R$$At the e...
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A cascade control strategy is shown in the figure below. The transfer function between the output $(y)$ and the secondary disturbance $\left(d_2\right)$ is defined as$$G_...
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An elementary irreversıble gas-phase reaction, $A \rightarrow B + C$, is carried out at fixed temperature and pressure in two separate ideal reactors: $(i)$ a $10\:m^{3}...
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In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The temperature profiles of the hot $(T_h)...
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Given $\dfrac{dy}{dx}=y-20$, and $y \mid_{x=0}=40$, the value of $y$ at $x=2$ is _________ (round off to nearest integer)
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Leidenfrost phenomenon refers tothe condensation of vapour on a cold surfacethe exchange of heat between two solidsthe melting of frostfilm boiling and evaporation of liq...
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The real part of $6e^{i\pi /3}$ is _______________.
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Water is heated at atmospheric pressure from $40^{\circ}C$ to $80^{\circ}C$ using two different processes. In process $I$, the heating is done by a source at $80^{\circ}C...
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A gas bubble (gas density $\rho_{g} =2\:kg/m^{3}$ ; bubble diameter $D=10^{-4}\:m$ is rising vertically through water (density $\rho =1000\:kg/m^{3}$; viscosity $\mu =0.0...
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Reaction $A{\rightarrow}B$ is carried out in a reactor operating at steady state and $1$ mol/$s$ of pure $A$ at $425^{\circ}C$ enters the reactor. The outlet stream leave...
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The volume of a sphere of diameter $1$ unit is ________ than the volume of a cube of side $1$ unit.leastlesslesserlow
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A binary distillation column is to be designed using McCabe Thiele method. The distillate contains $90$ mol$\%$ of the more volatile component. The point of intersection ...
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Choose the appropriate word/phrase, out of the four options given below, to complete the following sentences:Frogs _____________________ .croakroarhisspatter
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Find the odd one in the following group: $\text{ALRVX, EPVZB, ITZDF, OYEIK}$$\text{ALRVX}$$\text{EPVZB}$$\text{ITZDF}$$\text{OYEIK}$
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Consider the following two normal distributions$f_{1}\left ( x \right )=exp\left ( -\pi x^{2} \right )$$f_{2}\left ( x \right )=\frac{1}{2 \pi}exp\left \{ -\frac{1}{4\pi ...
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Which of the following assertions are $\text{CORRECT}$?$P$ : Adding $7$ to each entry in a list adds $7$ to the mean of the list$Q$ : Adding $7$ to each entry in a list...
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Choose the grammatically $\text{INCORRECT}$ sentence:They gave us the money back less the service charges of Three Hundred rupeesThis country’s expenditure is not less ...
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The one-dimensional unsteady state heat conduction equation in a hollow cylinder with a constant heat source $q$ is$$ \frac{\partial T}{\partial t}=\frac{1}{r}\frac{\part...
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For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant $(K)$ with temperature $(T)$ and pressure...
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An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at...
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Which of the following is the correct sequence of equipment for size reduction of solids?
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The one-dimensional unsteady heat conduction equation is $$\rho C_{p}\frac{\partial T}{\partial t}=\frac{1}{r^{n}}\frac{\partial }{\partial r}\left ( r^{n}k\frac{\partial...
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The vapour pressure of a pure substance at a temperature $T$ is $30$ bar. The actual and ideal gas values of $g/RT$ for the saturated vapour at this temperature $T$ and $...
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Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&{x} & \text{0} & \text{1} & \text{2} & \t...
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Which $ONE$ of the following is $CORRECT$ for an ideal gas in a closed system?$\left ( \frac{\partial U}{\partial V} \right )_{s}V=nR\left ( \frac{\partial U}{\partial S}...
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Select the pair that best expresses a relationship similar to that expressed in the pair:$\text{water : pipe ::}$cart: roadelectricity: wiresea: beachmusic: instrument
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The Headmaster ______ to speak to you.Which of the following options is incorrect to complete the above sentence?is wanting.wantswantwas wanting
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For the computation of Ziegler-Nichols settings, the ultimate period (in s/cycle) and the ultimate gain are $\pi$ and $0.8$, respectively$4\pi$ and $0.8$, respectively$4\...
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Consider the following transfer function $G_p(s) = \dfrac{5}{(2s+1)^4}$(Note: The unit of the processor time constan...
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The vapor-liquid equilibrium curve of a binary mixture A-B,may be approximated by a linear equation over a narrow range of liquid mole fractions (0.2 < x${_A}$ < 0.3) as...
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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 characteristic equation for a system is $S^{3}+9S^{2}+26S+12(2+K{_c}) = 0$.Using the Routh test, the value of $K{_...
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Polyvinyl chloride is produced byco-polymerizationaddition-type kineticsreacting chlorine with polyethylenereacting hydrochloric acid with polyethylene
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An elementary irreversible liquid-phase reaction, $2P \overset{k}{\rightarrow}Q$, where the rate constant $k = 2\:L\:\text{mol}^{-1}\:\text{min} ^{-1}$, takes place in an...
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Carbon monoxide $(CO)$ reacts with hydrogen sulphide $(H_2S)$ at a constant temperature of $800\:K$ and a constant pressure of 2 bar as:$$CO+H_2S\leftrightharpoons COS+H_...
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For the initial value problem$$\frac{dx}{dt}=\sin\left ( t \right ),\:\:\:\:x\left ( 0 \right )=0$$the value of $x$ at $t=\pi /3$ , is _____________.