List of top Questions asked in GATE Metallurgical Engineering

Choose the correct statement(s) in the context of fusion welding of austenitic stainless steel containing about 0.06 wt.% carbon.
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\(^{-1}\)
Match the processes in Column I with the corresponding applications in Column II.
Column I
(P) Fused salt electrolysis
(Q) Carbothermal reduction
(R) Oxidation-refining
(S) Matte converting
Column II
(1) Ironmaking
(2) Aluminium extraction
(3) Copper extraction
(4) Steelmaking
Match Column I with Column II.
Column I
(P) Gallium arsenide
(Q) Barium titanate
(R) Iron - 4 wt.% silicon
(S) Yttrium-barium-copper oxide
Column II
(1) Superconductor
(2) Soft magnetic material
(3) Semiconductor
(4) Piezoelectric material
Match the components in Column I with corresponding manufacturing processes in Column II.
Column I
(P) Crank shaft
(Q) Machine bed
(R) Automobile brake pad
(S) Beverage can
Column II
(1) Sheet metal forming
(2) Forging
(3) Casting
(4) Powder metallurgy
Match the welding techniques in Column I with the most appropriate applications in Column II.
Column I
(P) Submerged arc welding
(Q) Electroslag welding
(R) Shielded metal arc welding
(S) Resistance spot welding
Column II
(1) Thick sections
(2) Surfacing and repair
(3) Thin sheets
(4) Flat position
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?
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.
Column I
(A) Gibbs Free Energy
(B) Helmholtz Free Energy
(C) Enthalpy
(D) Internal Energy
Column II
(1) depends on T, V and composition
(2) depends on T, P and composition
(3) depends on S, P and composition
(4) depends on S, V and composition
Match the transport processes in Column I with the relationships in Column II.
Column I
(P) Molecular momentum transport
(Q) Molecular mass transport
(R) Molecular energy transport
(S) Radiation energy transport
Column II
(1) Stefan-Boltzmann law
(2) Newton's law of viscosity
(3) Fick's law
(4) Fourier law
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
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 \( \iint_S \vec{\phi} . \hat{n} dS \) is
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 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 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.
Column I
(P) Cold shut
(Q) Zipper breaks
(R) Stretcher strains
(S) Center burst
Column II
(1) Rolling
(2) Sheet metal forming
(3) Drawing
(4) Forging
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?