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GATE CH 2023 | GA Question: 3
In the given figure, PQRS is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ ... $\frac{9}{2}$ $\frac{35}{4}$
In the given figure, PQRS is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ and $\text{PV}=5 \mathrm{~cm}$. What is the length of $\mathrm{...
admin
2.8k
points
admin
asked
May 21, 2023
Quantitative Aptitude
gatech-2023
quantitative-aptitude
geometry
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GATE CH 2023 | Question: 65
Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the ...
Pumps $A$ and $B$ are being considered for purchase in a chemical plant. Cost details for these two pumps are given in the table below. The interest rate is $10 \%$ per a...
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2.8k
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admin
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May 21, 2023
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GATE CH 2023 | Question: 61
The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the ... this system is______________ (rounded off to one decimal place).
The outlet concentration $C_A$ of a plug flow reactor $\text{(PFR)}$ is controlled by manipulating the inlet concentration $C_{A 0}$. The following transfer function desc...
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2.8k
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admin
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May 21, 2023
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GATE CH 2023 | Question: 23
Spray dryers have many advantages. Which one of the following is NOT an advantage of a typical spray ... Has high heat efficiency Is suitable for heat sensitive materials
Spray dryers have many advantages. Which one of the following is NOT an advantage of a typical spray dryer?Has short drying timeProduces hollow spherical particlesHas hig...
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2.8k
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May 21, 2023
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GATE CH 2023 | GA Question: 10
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spa...
admin
2.8k
points
admin
asked
May 21, 2023
Spatial Aptitude
gatech-2023
spatial-aptitude
figure-in-three-dimension
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GATE CH 2023 | Question: 26
A packed distillation column, with vapor having an average molecular weight of $45 \mathrm{~kg} \cdot \mathrm{kmol}^{-1}$, density ... $4 \pi$ $\frac{10}{\sqrt{\pi}}$
A packed distillation column, with vapor having an average molecular weight of $45 \mathrm{~kg} \cdot \mathrm{kmol}^{-1}$, density of $2 \mathrm{~kg} \cdot \mathrm{m}^{-3...
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2.8k
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admin
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May 21, 2023
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GATE CH 2023 | Question: 17
For a reversible endothermic chemical reaction with constant heat of reaction over the operating temperature range, $K$ is ... $K$ on temperature $T$?
For a reversible endothermic chemical reaction with constant heat of reaction over the operating temperature range, $K$ is the thermodynamic equilibrium constant. Which o...
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2.8k
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May 21, 2023
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GATE CH 2023 | Question: 19
John and Jane independently performed a thermodynamic experiment, in which $\mathbf{X}$ and $\mathbf{Y}$ represent the ...
John and Jane independently performed a thermodynamic experiment, in which $\mathbf{X}$ and $\mathbf{Y}$ represent the initial and final thermodynamic states of the syste...
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2.8k
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May 21, 2023
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GATE CH 2023 | Question: 34
A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent ... minimum number of ideal stages required is__________(in integer).
A liquid $\boldsymbol{L}$ containing a dissolved gas $\boldsymbol{S}$ is stripped in a countercurrent operation using a pure carrier gas $\boldsymbol{V}$. The liquid phas...
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2.8k
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May 21, 2023
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GATE CH 2023 | Question: 28
Consider a system where a Carnot engine is operating between a source and a sink. Which of the following ... increases at the completion of each cycle of the engine.
Consider a system where a Carnot engine is operating between a source and a sink. Which of the following statements about this system is/are $\text{NOT}$ correct?This eng...
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May 21, 2023
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GATE CH 2023 | Question: 62
The transfer function of a measuring instrument is $ G_m(s)=\frac{1.05}{2 s+1} \exp (-s) . $ At ... unit in its output is____________(rounded off to two decimal places).
The transfer function of a measuring instrument is$$G_m(s)=\frac{1.05}{2 s+1} \exp (-s) .$$At time $t=0$, a step change of $+1$ unit is introduced in the input of this in...
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May 21, 2023
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GATE CH 2023 | Question: 41
The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and ... $100$ $42$ $64$ $40$
The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and pressure is given as$$H=40 x_1+60 x_2+x_1 x_2\...
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GATE CH 2023 | Question: 32
Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the ... is____________(rounded off to one decimal place).
Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at $100 \mathrm{~mol} . \mathrm{hr}^{-1}$, of w...
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May 21, 2023
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GATE CH 2023 | Question: 33
The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter ... is______________(rounded off to two decimal places).
The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter $0.5 \mathrm{~mm}$ and length $1.5 \mathrm{~m}$. The fluid flow is lamin...
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May 21, 2023
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GATE CH 2023 | Question: 56
Partially saturated air at $1 \; \mathrm{bar}$ and $50^{\circ} \mathrm{C}$ is contacted with water in ... $\mathcal{H}$ is____________(rounded off to two decimal places).
Partially saturated air at $1 \; \mathrm{bar}$ and $50^{\circ} \mathrm{C}$ is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturati...
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May 21, 2023
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GATE CH 2023 | Question: 24
Which one of the following quantities of a flowing fluid is measured using a rotameter? Static pressure Dynamic pressure Volumetric flow rate Viscosity
Which one of the following quantities of a flowing fluid is measured using a rotameter?Static pressureDynamic pressureVolumetric flow rateViscosity
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May 21, 2023
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GATE CH 2023 | Question: 20
For a packed-bed comprising of uniform-sized spherical particles of diameter $D_{\mathrm{p}}$, the pressure drop across the bed is given ... exponent $n$? $2$ $-1$ $-2$ $1$
For a packed-bed comprising of uniform-sized spherical particles of diameter $D_{\mathrm{p}}$, the pressure drop across the bed is given by the Kozeny-Carman equation whe...
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May 21, 2023
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GATE CH 2023 | Question: 27
An isothermal jacketed continous stirred tank reactor (CSTR) operating at $150^{\circ} \mathrm{C}$ is shown in the figure ... $H X_1$ and increase the heat duty of $H X_2$.
An isothermal jacketed continous stirred tank reactor (CSTR) operating at $150^{\circ} \mathrm{C}$ is shown in the figure below. The cold feed entering the system at $30^...
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May 21, 2023
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GATE CH 2023 | Question: 35
In a binary gas-liquid system, $N_{A, E M D}$ is the molar flux of a gas $A$ for equimolar counter ... is equal to________________(rounded off to two decimal places).
In a binary gas-liquid system, $N_{A, E M D}$ is the molar flux of a gas $A$ for equimolar counter diffusion with a liquid $B . N_{A, U M D}$ is the molar flux of $A$ for...
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May 21, 2023
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GATE CH 2023 | Question: 39
Match the products in Group $1$ with the catalysts in Group $2$ ... $\text{P-IV, Q-III, R-I, S-II}$
Match the products in Group $1$ with the catalysts in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \qquad \quad \textbf{Group 1}...
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May 21, 2023
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GATE CH 2023 | Question: 54
A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the ... $\bar{h}_l$ is______________(in integer).
A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the figure below. The velocity and temperature of the ...
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May 21, 2023
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GATE CH 2023 | Question: 12
The vector $\overrightarrow{\boldsymbol{v}}$ ... $0$ $3$ $14$ $13$
The vector $\overrightarrow{\boldsymbol{v}}$ is defined as$$\overrightarrow{\boldsymbol{v}}=z x \hat{\imath}+2 x y \hat{\jmath}+3 y z \hat{k} .$$Which one of the followin...
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May 21, 2023
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GATE CH 2023 | Question: 25
A liquid surge tank has $F_{\text {in }}$ and $F_{\text {out }}$ as the inlet and outlet flow rates respectively, as ... (in seconds) of this system? $20$ $32$ $64$ $128$
A liquid surge tank has $F_{\text {in }}$ and $F_{\text {out }}$ as the inlet and outlet flow rates respectively, as shown in the figure below. $F_{\text {out }}$ is prop...
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May 21, 2023
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GATE CH 2023 | Question: 38
Match the products in Group $1$ with the manufacturing processes in Group $2$ ... $\text{P-I, Q-IV, R-II, S-III}$
Match the products in Group $1$ with the manufacturing processes in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \quad \; \textbf{Group 1} & \; \qqua...
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May 21, 2023
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GATE CH 2023 | Question: 55
A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a ... units $\text{(NTU)}$ is_____________(in integer).
A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil enters the outer ann...
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2.8k
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May 21, 2023
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GATE CH 2023 | Question: 13
Given that $F=\frac{\left|z_1+z_2\right|}{\left|z_1\right|+\left|z_2\right|},$ where $z_1=2+3 i$ and $z_2=-2+3 i$ ... $\text{CORRECT}$? $F<0$ $F<1$ $F>1$ $F=1$
Given that$$F=\frac{\left|z_1+z_2\right|}{\left|z_1\right|+\left|z_2\right|},$$where $z_1=2+3 i$ and $z_2=-2+3 i$ with $i=\sqrt{-1}$, which one of the following options i...
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GATE CH 2023 | Question: 16
Which one of the following options represents the major components of oleum? Sulfuric acid and nitric acid ... acid and hydrochloric acid Sulfuric acid and sulfur trioxide
Which one of the following options represents the major components of oleum?Sulfuric acid and nitric acidConcentrated sulfuric acid and petroleum jellySulfuric acid and h...
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May 21, 2023
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GATE CH 2023 | Question: 21
Match the quantities in Group $1$ with their units in Group $2$ ... $\text{P-IV, Q-I, R-III, S-II}$
Match the quantities in Group $1$ with their units in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \textbf{Group 1} & \textbf{Gr...
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May 21, 2023
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GATE CH 2023 | Question: 31
The position $x(t)$ of a particle, at constant $\omega$ ... particle at $t=(3 \pi / \omega)$ is_______________(in integer).
The position $x(t)$ of a particle, at constant $\omega$, is described by the equation$$\frac{d^2 x}{d t^2}=-\omega^2 x.$$The initial conditions are $x(t=0)=1$ and $\left....
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May 21, 2023
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GATE CH 2023 | Question: 37
Simpson's one-third rule is used to estimate the definite integral $ I=\int_{-1}^1 \sqrt{\left(1-x^2\right)} d x $ with ... $\frac{1}{3}-\frac{2}{\sqrt{3}}$
Simpson's one-third rule is used to estimate the definite integral$$I=\int_{-1}^1 \sqrt{\left(1-x^2\right)} d x$$with an interval length of $0.5.$ Which one of the follow...
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May 21, 2023
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GATE CH 2023 | Question: 14
For a two-dimensional plane, the unit vectors, $\left(\hat{e}_r, \hat{e}_\theta\right)$ ... $-\hat{e}_{r}+\hat{e}_{\theta}$
For a two-dimensional plane, the unit vectors, $\left(\hat{e}_r, \hat{e}_\theta\right)$ of the polar coordinate system and $(\hat{\imath}, \hat{\jmath})$ of the cartesian...
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May 21, 2023
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GATE CH 2023 | Question: 60
An irreversible liquid-phase second-order reaction ... is______________ (rounded off to the nearest integer).
An irreversible liquid-phase second-order reaction$$\boldsymbol{A} \stackrel{k}{\longrightarrow} \boldsymbol{B}$$with rate constant $k=0.2$ liter. $\mathrm{mol}^{-1} \mat...
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GATE CH 2023 | Question: 18
Nitrile rubber is manufactured via polymerization process. Which one of the following options is the ... and butadiene Butadiene and styrene Butadiene and isoprene
Nitrile rubber is manufactured via polymerization process. Which one of the following options is the $\text{CORRECT}$ pair of monomers used in this process?Acrylonitrile ...
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GATE CH 2023 | Question: 22
A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ ... $\frac{A}{L k}$
A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ and $T_2$ are the temperatures at $x=0$ and...
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May 21, 2023
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GATE CH 2023 | Question: 30
Given that $E$ (in W. $\mathrm{m}^{-2}$ ) is the total hemispherical emissive power of a surface maintained ... . $E$ does not depend on the frequency of the emission.
Given that $E$ (in W. $\mathrm{m}^{-2}$ ) is the total hemispherical emissive power of a surface maintained at a certain temperature, which of the following statements is...
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May 21, 2023
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GATE CH 2023 | Question: 50
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below ...
Orsat analysis showing the composition (in $\text{mol} \%,$ on a dry basis) of a stack gas is given in the table below. The humidity measurement reveals that the mole fra...
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GATE CH 2023 | Question: 53
A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ... ) is____________(rounded off to two decimal places).
A large tank is filled with water (density $=1 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ ) upto a height of $5 \mathrm{~m}$. A $100 ~ \mu \mathrm{m}$ diameter solid spherical p...
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GATE CH 2023 | Question: 45
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a ... used by the engineer? $0.25$ $2$ $4$ $6$
Level $(h)$ in a steam boiler is controlled by manipulating the flow rate $(F)$ of the make-up (fresh) water using a proportional (P) controller. The transfer function be...
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GATE CH 2023 | Question: 63
A design engineer needs to purchase a membrane module $(\mathrm{M})$ ...
A design engineer needs to purchase a membrane module $(\mathrm{M})$ for a plant. Details about the two available options, $\text{M1}$ and $\text{M2,}$ are given in the t...
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GATE CH 2023 | Question: 58
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction. ... is______________(rounded off to one decimal place).
Fresh catalyst is loaded into a reactor before the start of the following catalytic reaction.$$\textbf{A} \longrightarrow \textbf{products}$$The catalyst gets deactivated...
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