GATE 2023 Metallurgical Engineering (MT) Question Paper PDF is available here for download. IIT Kanpur conducted GATE 2023 Metallurgical Engineering (MT) exam on February 11, 2023 in the Afternoon Session from 02:30 PM to 05:30 PM. Students have to answer 65 questions in GATE 2023 Metallurgical Engineering Question Paper carrying a total weightage of 100 marks. 10 questions are from the General Aptitude section and 55 questions are from Engineering Mathematics and Core Discipline.
GATE 2023 Metallurgical Engineering (MT) Question Paper with Solutions PDF
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"You are delaying the completion of the task. Send \hspace{2cm} contributions at the earliest."
References : \hspace{2cm} :: Guidelines : Implement
(By word meaning)
In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm and PV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics.
When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college.
Based only on the above information, which one of the following statements can be logically inferred with certainty?
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ (anti-diagonal) and MN (main diagonal) form lines of symmetry? (The figure is representative)
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households.
Based only on the above passage, which one of the following statements can be inferred with certainty?
The coefficient of \(x^4\) in the polynomial \((x - 1)^3 (x - 2)^3\) is equal to _________.
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 spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
At one atmosphere pressure, \(\alpha\)-Fe transforms to \(\gamma\)-Fe above 912 \(^{\circ}\)C. Density of \(\gamma\)-Fe is more than that of \(\alpha\)-Fe. Choose the correct statement.
Formation of an ideal solution leads to
Order (O) and degree (D) of the differential equation \( \left(\frac{dy}{dx}\right)^3 = \sqrt{\frac{d^2y}{dx^2} + 10} \) are
At one atmosphere pressure, iron (Fe) and nickel (Ni) oxidize as
\(2Fe + O_2 \rightarrow 2FeO \quad \Delta G^\circ = -527400 + 128 T Joules\)
\(2Ni + O_2 \rightarrow 2NiO \quad \Delta G^\circ = -471200 + 172 T Joules\)
Identify the correct statement.
Given: Temperature, T is in Kelvin
For laminar fluid flow through a smooth circular tube, the relation between friction factor (\(f\)) and Reynolds number (\(Re\)) is
Among the following options, a process for liquid-liquid separation is
The most effective concentration step for sulfide ores is
The gas distribution in a blast furnace is controlled by the shape of
Diamond has low
For self-diffusion in polycrystalline copper with a lattice diffusion coefficient D\(_L\), grain boundary diffusion coefficient D\(_{GB}\), and surface diffusion coefficient D\(_S\), the correct relationship is
Magnitude of Burgers vector of the dislocation resulting from reaction of dislocations with Burgers vectors \( \frac{a}{2}[101] \) and \( \frac{a}{2}[0\bar{1}\bar{1}] \) is
The mechanism of creep for a single crystal as depicted in the schematic is
The value of \( \lim_{x\to 1} \frac{7x^7-20x^5+13x}{3x^3+x-4} \) is
Match the defects in Column I with corresponding metal forming techniques in Column II.
In rolling, the point on the surface of contact between roll and sheet where surface velocity of the roll is equal to velocity of the sheet is referred as
When cracks propagate in a brittle material, the following option(s) is/are correct
Which of the following is/are responsible for reducing the high cycle fatigue life of a component?
The non-destructive testing technique(s) for detecting internal defects in a steel component is/are
The condition(s) for high degree of mutual substitutional solid solubility for two metals is/are
The sum of eigen values of the matrix \( \begin{bmatrix} 4 & 3 & 2
0 & -1 & 2
0 & 0 & -3 \end{bmatrix} \) is ___________ (in integer).
The probability of setting an easy exam paper by three setters are \( \frac{1}{2}, \frac{1}{3}, \) and \( \frac{1}{4} \). If all three are setting one paper each, then the probability that at least one of the papers will be easy is ___________ (round off to 2 decimal places).
Maximum number of phases that can be in equilibrium for a 5-component system at constant temperature and pressure is ___________ (in integer).
A liquid of density 900 kg m\(^{-3}\) is flowing over a flat plate with a free stream velocity of 0.1 m s\(^{-1}\). The laminar boundary layer thickness at a distance of 0.2 m from the leading edge of the plate is 0.007 m. The viscosity of the liquid in centipoise is ___________ (round off to 2 decimal places).
Given: 1 centipoise = 10\(^{-3}\) kg m\(^{-1}\)s\(^{-1}\)
The rate constant of a reaction at 400 K is three times the value at 300 K. The activation energy of the reaction in kJ mol\(^{-1}\) is ___________ (round off to 1 decimal place).
Given: Universal gas constant, R = 8.314 J mol\(^{-1}\)K\(^{-1}\)
The maximum value of function \(f(x) = 4x^3 - 24x^2 + 36\) in the domain [-1, 5] is ___________ (round off to nearest integer).
Taking S as entropy, T as temperature, P as pressure, and V as volume, match Column I with Column II.
Match the transport processes in Column I with the relationships in Column II.
For supersonic O\(_2\) jet in basic oxygen furnace steelmaking, choose the correct combination from the following:
(1) Converging-diverging nozzle
(2) Diverging-converging nozzle
(3) O\(_2\) velocity greater than sound velocity at nozzle throat (Mach number \(>\) 1)
(4) O\(_2\) velocity equal to sound velocity at nozzle throat (Mach number = 1)
(5) Exit O\(_2\) jet pressure \(\ge\) atmospheric pressure
(6) Exit O\(_2\) jet pressure \(<\) atmospheric pressure
An elutriator is used to separate particles based on their sizes in flowing air as shown in the figure. Assuming spherical particles, the diameter (\(D_{50}\)) of the suspended particles which have 50% chance to report to overflow by turbulent air flow is expressed as
A fluid flow field is given by the velocity vector \( \vec{V} = e^{xyz}(x\hat{i} + z\hat{k}) \). The curl of velocity at (1, 2, 3) is
Given, \( \vec{\phi} = xy\hat{i} + yz\hat{j} + xz\hat{k} \). S is a surface bounded by the planes x = 0, y = 0, z = 0, x = 3, y = 2, and z = 1. If \( \hat{n} \) is the unit vector normal to S, then \( \iint_S \vec{\phi} \cdot \hat{n} dS \) is
Match the processes in Column I with the corresponding applications in Column II.
Match Column I with Column II.
Match the plots in Section I with the corresponding functions in Section II.
Match the components in Column I with corresponding manufacturing processes in Column II.
Match the welding techniques in Column I with the most appropriate applications in Column II.
Concerning the chemical potentials of components in a binary system at constant pressure, the correct statement(s) is/are
Which of the following is/are the role(s) of coke in a blast furnace?
Identify the INCORRECT statement(s)
For the given schematic TTT diagram of an eutectoid steel, the following statement(s) is/are true for the heat treatment schedules HT-1, HT-2, and HT-3.
A dislocation loop PQRSTU is on the (111) plane of a cubic single crystal with Burgers vector \( \vec{b} = \frac{a}{6}[\bar{1}\bar{2}1] \). The dislocation segments \(\vec{PU}\) and \(\vec{PQ}\) are parallel to \([0\bar{1}1]\) and \([1\bar{1}0]\) directions, respectively. The correct statement(s) is/are
Compared to top gating, the effect(s) of bottom gating in sand mold casting is/are
Choose the correct statement(s) in the context of fusion welding of austenitic stainless steel containing about 0.06 wt.% carbon.
For the equation \( \begin{vmatrix} x+3 & 3x+4 & 4x+5
-2 & -3 & -4
-3 & -4 & -5 \end{vmatrix} = 0 \) the value of x is ___________ (in integer).
Enthalpy of formation of an A-B regular solution containing 80 atomic percent A is 3.36 kJ mol\(^{-1}\). The activity coefficient of A at 500 K for the solution containing 40 atomic percent A is ___________ (round off to 1 decimal place).
Given: Universal gas constant, R = 8.314 J mol\(^{-1}\)K\(^{-1}\)
A thin plate is loaded in plane stress condition with \( \sigma_{xx} = 110 \) MPa, \( \sigma_{yy} = -50 \) MPa, \( \tau_{xy} = -70 \) MPa. The maximum principal stress in MPa is ___________ (round off to nearest integer).
A chimney as shown in the figure requires to have a natural draft (pressure difference between the furnace and the bottom of chimney, \( P_o - P_1 \)) of \( 1.0133 \times 10^3 \) Pa.
Given: acceleration due to gravity, g = 9.81 m s\(^{-2}\)
Assume densities of air and flue do not change along the chimney height. Neglect frictional energy loss and kinetic energy difference at the bottom and top of the chimney.
If the density difference between the air and flue is 0.5 kg m\(^{-3}\), the minimum height (h) of the chimney in meters is ___________ (round off to nearest integer).
Two circular surfaces A and B with the values of emissivity \(\epsilon\), temperature T, and respective view factors are shown in the figure. Consider heat radiation only between surfaces A and B.
Given: Stefan-Boltzmann constant, \( \sigma = 5.67 \times 10^{-8} \) Wm\(^{-2}\)K\(^{-4}\)
Net heat flow rate by radiation from surface A in kW is ___________ (round off to 1 decimal place).
Copper ore assaying 10 wt.% Cu is fed to a concentration plant at the rate of 100 tons/h. If the grades of concentrate and tailing are 30 wt.% Cu and 1 wt.% Cu, respectively, the percentage recovery of copper in concentrate is ___________ (round off to nearest integer).
Given: 1 ton = 1000 kg
Diffraction pattern of a polycrystalline BCC metal is obtained using monochromatic X-rays of wavelength 0.25 nm. If the first peak occurs at Bragg angle (\(\theta\)) of 30\(^{\circ}\), then the radius of the metal atom in nm is ___________ (round off to 2 decimal places).
The alloy A (given in the phase diagram) is cooled slowly from the liquid state to just below the eutectic temperature. The ratio of weight fractions of pro-eutectic \(\alpha\) to eutectic \(\alpha\) is ___________ (round off to 1 decimal place).
In an aqueous solution of Fe\(^{2+}\) ions with concentration of 10\(^{-4}\) M at 298 K and atmospheric pressure, the reduction potential of Fe in volt is ___________ (round off to 2 decimal places).
Given: Standard reduction potential, \(E^{\circ}_{Fe^{2+}/Fe} = -0.44\) V
Faraday's constant, F = 96500 C per mole of electrons
Universal gas constant, R = 8.314 J mol\(^{-1}\)K\(^{-1}\)
Strain hardening behavior of an alloy is given by \( \sigma = 1100 \epsilon^{0.3} \), where \( \sigma \) and \( \epsilon \) are true stress and true strain, respectively. The alloy is cold drawn to an unknown amount of strain, followed by tensile testing. If the tensile test showed 10% reduction in area at maximum load, then the unknown amount of strain from prior cold work is ___________ (round off to 2 decimal places).
A specimen containing maximum initial surface crack of size 1.5 mm is subjected to cyclic loading with \( \sigma_{max} = 300 \) MPa and \( \sigma_{min} = 0 \) MPa. Assuming specimen geometric factor of 1, and referring to the given figure, the crack growth rate in \(\mu\)m cycle\(^{-1}\) is ___________ (round off to nearest integer).
A 200 mm thick slab is rolled using 500 mm diameter rolls under cold rolling and hot rolling conditions, separately. The coefficient of friction is 0.04 in cold rolling and 0.4 in hot rolling. The ratio of maximum possible thickness reduction in cold rolling to that in hot rolling is ___________ (round off to 2 decimal places).
Also Check:
| Previous Year GATE Metallurgical Engineering Question Papers | GATE 2023 Metallurgical Engineering Paper Analysis |
| GATE Metallurgical Engineering Exam Pattern | GATE Metallurgical Engineering Syllabus |
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