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Materials Characterisation and Crystal Imperfections

20 Questions
GATE→2026→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q1
MCQ[1 Mark]
During metallography, Nital is the most commonly used etchant for (A) Bronze (B) Brass (C) Mild Steel (D) Aluminium
GATE→2026→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q2
MCQ[1 Mark]
Which one of the following options is correct? In a face-centered cubic metal, a Shockley partial is: (A) Perfect and mobile dislocation (B) Perfect and immobile dislocation (C) Imperfect and immobile dislocation (D) Imperfect and mobile dislocation
GATE→2026→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q3
MCQ[1 Mark]
Residual stress present in a material can be determined by which one of the following techniques: (A) X-ray Diffraction (XRD) (B) Tensile Testing (C) Thermo-Gravimetric Analysis (TGA) (D) Optical Microscopy
GATE→2026→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q4
NAT[2 Marks]
A metal having body-centered cubic structure is analyzed through X-ray diffraction using monochromatic X-ray of wavelength 0.154 nm0.154\text{ nm}. The diffraction angle (2θ2\theta) corresponding to {200}\{200\} plane is 60∘60^\circ. The atomic radius is ___ nm\text{nm}.
GATE→2026→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q5
NAT[2 Marks]
The lattice parameter of Ni is 0.35 nm0.35\text{ nm} and shear modulus is 76 GPa76\text{ GPa}. Strain energy per unit length of screw dislocation is ___ ×10−9 J/m\times 10^{-9}\text{ J/m}.
GATE→2025→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q6
MCQ[1 Mark]
Match each crystal defect in Column I with the corresponding type in Column II:\nColumn I:\nP. Edge dislocation\nQ. Stacking fault\nR. Frenkel defect\nS. Porosity\nColumn II: 1. Zero-dimensional defect 2. One-dimensional defect 3. Two-dimensional defect 4. Three-dimensional defect (A) P-3, Q-4, R-2, S-1 (B) P-3, Q-4, R-1, S-2 (C) P-2, Q-3, R-1, S-4 (D) P-2, Q-4, R-3, S-1
GATE→2025→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q7
MCQ[1 Mark]
In optical microscopy, which one of the following combinations of wavelength (λ\lambda) and numerical aperture (NA) provides the best spatial resolution? (A) λ=400 nm\lambda = 400\text{ nm} and NA=1.0\text{NA} = 1.0 (B) λ=600 nm\lambda = 600\text{ nm} and NA=1.2\text{NA} = 1.2 (C) λ=400 nm\lambda = 400\text{ nm} and NA=1.2\text{NA} = 1.2 (D) λ=600 nm\lambda = 600\text{ nm} and NA=1.0\text{NA} = 1.0
GATE→2025→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q8
MCQ[1 Mark]
The coordination number for an octahedral site in pure copper is _______. (A) 4 (B) 6 (C) 8 (D) 12
GATE→2025→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q9
NAT[2 Marks]
X-ray diffraction using a monochromatic radiation of wavelength 0.154 nm0.154\text{ nm} is performed on powder samples of metal A (with FCC crystal structure) and metal B (with BCC crystal structure). If the first peak in both the cases occurs at a Bragg angle θ=20∘\theta = 20^\circ, then the value of lattice parameter of metal Alattice parameter of metal B\frac{\text{lattice parameter of metal A}}{\text{lattice parameter of metal B}} is ___ (rounded off to two decimal places).
GATE→2025→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q10
NAT[2 Marks]
A single crystal BCC metal with a lattice parameter a=0.4 nma = 0.4\text{ nm} is subjected to deformation at a shear strain rate of 0.001 s−10.001\text{ s}^{-1}. If the average mobile dislocation density in the single crystal is 1010 m−210^{10}\text{ m}^{-2}, the average dislocation velocity is ___ ×10−3 m s−1\times 10^{-3}\text{ m s}^{-1} (rounded off to two decimal places). Given: Burgers vector b=a2⟨111⟩b = \frac{a}{2}\langle 111 \rangle
GATE→2024→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q11
MSQ[1 Mark]
Which of the following (h k l)(h\text{ }k\text{ }l) reflections is/are allowed in an X-ray diffraction pattern of a crystal with face centered cubic lattice? (A) (0 0 1)(0\text{ }0\text{ }1) (B) (0 1 1)(0\text{ }1\text{ }1) (C) (1 1 1)(1\text{ }1\text{ }1) (D) (0 0 2)(0\text{ }0\text{ }2)
GATE→2024→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q12
MCQ[2 Marks]
Match the entries in Column I with the stacking sequences of the close-packed planes listed in Column II.\nColumn I:\nP. Face centered cubic (FCC) structure\nQ. Intrinsic stacking fault in FCC\nR. Across an annealing twin boundary in FCC\nS. Hexagonal close-packed structure\nColumn II: 1. ABCABABC 2. ABABABAB 3. ABCABCABC 4. ABACABA (A) P-1, Q-3, R-4, S-2 (B) P-2, Q-3, R-1, S-4 (C) P-3, Q-1, R-4, S-2 (D) P-3, Q-2, R-1, S-4
GATE→2024→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q13
NAT[2 Marks]
If for element A, the formation enthalpy and formation entropy per vacancy created are 0.5 eV0.5\text{ eV} and 3kB3k_B, respectively, then the equilibrium vacancy concentration (in mole fraction) at 500 K500\text{ K} is ___ ×10−4\times 10^{-4} (Round off to two decimal places).\nGiven: Boltzmann constant kB=8.62×10−5 eV atom−1K−1k_B = 8.62 \times 10^{-5}\text{ eV atom}^{-1}\text{K}^{-1}
GATE→2023→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q14
MCQ[1 Mark]
Magnitude of Burgers vector of the dislocation resulting from reaction of dislocations with Burgers vectors a2[1 0 1]\frac{a}{2}[1\text{ }0\text{ }1] and a2[0 1ˉ 1ˉ]\frac{a}{2}[0\text{ }\bar{1}\text{ }\bar{1}] is (A) a2\frac{a}{\sqrt{2}} (B) 2a\sqrt{2}a (C) a2\frac{a}{2} (D) 2a2a
GATE→2023→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q15
MSQ[1 Mark]
The condition(s) for high degree of mutual substitutional solid solubility for two metals is/are (A) metals should have same valence (B) metals should have same crystal structure (C) the difference in atomic size of metals should be less than 15% (D) the difference in electronegativity of metals should be large
GATE→2023→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q16
MSQ[2 Marks]
A dislocation loop PQRSTU is on the (1 1 1)(1\text{ }1\text{ }1) plane of a cubic single crystal with 16[1ˉ 2 1ˉ]\frac{1}{6}[\bar{1}\text{ }2\text{ }\bar{1}] Burgers vector. The dislocation segments PU⃗\vec{PU} and PQ⃗\vec{PQ} are parallel to [0 1 1][0\text{ }1\text{ }1] and [1 1ˉ 0][1\text{ }\bar{1}\text{ }0] directions, respectively. The correct statement(s) is/are (A) Dislocation segment PQ is mixed in character. (B) Dislocation segment UT is screw in character. (C) Dislocation segment PU is mixed in character. (D) Dislocation segment QR is edge in character.
Figure for Question 16
GATE→2023→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q17
NAT[2 Marks]
Diffraction pattern of a polycrystalline BCC metal is obtained using monochromatic X-rays of wavelength 0.25 nm0.25\text{ nm}. If the first peak occurs at Bragg angle (θ\theta) of 30∘30^{\circ}, then the radius of the metal atom in nm is ___ (round off to 2 decimal places).
GATE→2022→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q18
MCQ[1 Mark]
The sequence of peaks corresponding to the planes (in the order of increasing 2θ2\theta) observed in the X-ray diffractogram of a pure copper powder sample is (A) 111, 200, 220, 311 (B) 110, 200, 211, 220 (C) 110, 200, 211, 311 (D) 111, 200, 311, 220
GATE→2022→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q19
MCQ[2 Marks]
Find the correct match between dislocation reactions (Column A) to the descriptions (Column B)\nColumn A: (P) ao2[1ˉ1ˉ1]+ao2[111]=ao[001]\frac{a_{o}}{2}[\bar{1}\bar{1}1]+\frac{a_{o}}{2}[111]=a_{o}[001] (Q) ao6[1ˉ21ˉ]+ao6[11ˉ2]=ao6[011]\frac{a_{o}}{6}[\bar{1}2\bar{1}]+\frac{a_{o}}{6}[1\bar{1}2]=\frac{a_{o}}{6}[011] (R) ao6[12ˉ1]+ao6[1ˉ1ˉ2]=ao2[01ˉ1]\frac{a_{o}}{6}[1\bar{2}1]+\frac{a_{o}}{6}[\bar{1}\bar{1}2]=\frac{a_{o}}{2}[0\bar{1}1]\nColumn B: (1) Leading partials merging to form a Lomer-Cottrell lock in an FCC metal (2) Energetically unfavorable dislocation reaction in an FCC metal (3) Typical dislocation reaction in a BCC metal (A) P-3, Q-2, R-1 (B) P-3, Q-1, R-2 (C) P-2, Q-3, R-1 (D) P-2, Q-1, R-3
GATE→2022→Physical Metallurgy→Materials Characterisation and Crystal Imperfections
Q20
NAT[2 Marks]
Consider a tilt boundary of misorientation of 2∘2^{\circ} in an aluminium grain. The lattice parameter of aluminium is 0.143 nm0.143\text{ nm}. The spacing between the dislocations that form the tilt boundary is ___ nm\text{nm} (round off to 2 decimal places).

Diffusion in Solids

6 Questions
GATE→2026→Physical Metallurgy→Diffusion in Solids
Q21
MCQ[1 Mark]
Which one of the following options is correct? In a binary alloy system, during spinodal decomposition, uphill diffusion occurs: (A) From higher to lower concentration and from higher to lower chemical potential (B) From higher to lower concentration and from lower to higher chemical potential (C) From lower to higher concentration and from lower to higher chemical potential (D) From lower to higher concentration and from higher to lower chemical potential
GATE→2026→Physical Metallurgy→Diffusion in Solids
Q22
NAT[2 Marks]
During carburizing of steel at 950∘C950^\circ\text{C}, the time required to reach 0.8859 wt.%0.8859\text{ wt.}\% C at 0.2 mm0.2\text{ mm} depth is ___ seconds.
GATE→2025→Physical Metallurgy→Diffusion in Solids
Q23
MCQ[2 Marks]
The following are the activation energies for diffusion of carbon and iron at 773 K773\text{ K} in polycrystalline BCC iron: P=P = Activation energy for diffusion of carbon in BCC iron through the lattice Q=Q = Activation energy for diffusion of iron in BCC iron through the lattice R=R = Activation energy for diffusion of iron in BCC iron along the grain boundary\nWhich one of the following statements is CORRECT? (A) R<P<QR < P < Q (B) R<Q<PR < Q < P (C) Q<P<RQ < P < R (D) P<R<QP < R < Q
GATE→2024→Physical Metallurgy→Diffusion in Solids
Q24
NAT[2 Marks]
During carburization of a steel at 950∘C950^\circ\text{C}, carbon concentration is measured as 0.8 wt.%0.8\text{ wt.}\% at a depth of 0.3 mm0.3\text{ mm} after one hour. The time required to get the same carbon concentration at a depth of 0.6 mm0.6\text{ mm} at the same carburization temperature is ___ hours (Round off to the nearest integer).
GATE→2023→Physical Metallurgy→Diffusion in Solids
Q25
MCQ[1 Mark]
For self-diffusion in polycrystalline copper with a lattice diffusion coefficient DLD_{L}, grain boundary diffusion coefficient DGBD_{GB}, and surface diffusion coefficient DSD_{S}, the correct relationship is (A) DS>DGB>DLD_{S} > D_{GB} > D_{L} (B) DL>DS>DGBD_{L} > D_{S} > D_{GB} (C) DGB>DS>DLD_{GB} > D_{S} > D_{L} (D) DGB=DS=DLD_{GB} = D_{S} = D_{L}
GATE→2022→Physical Metallurgy→Diffusion in Solids
Q26
NAT[2 Marks]
The concentration CC of a solute (in units of atoms-mm−3^{-3}) in a solid along xx direction (for x>0x>0) follows the expression C=a1x2+a2xC = a_1 x^2 + a_2 x\nwhere xx is in mm\text{mm}, a1a_1 and a2a_2 are in units of atoms-mm−4^{-4} and atoms-mm−3^{-3}, respectively. Assuming a1=a2=1a_1 = a_2 = 1, the magnitude of flux at x=2 mmx = 2\text{ mm} is ___ ×10−3 atoms-mm−2⋅s−1\times 10^{-3}\text{ atoms-mm}^{-2}\cdot\text{s}^{-1} (answer rounded off to the nearest integer).\nGiven: diffusion coefficient of the solute in the solid is 3×10−3 mm2⋅s−13 \times 10^{-3}\text{ mm}^2\cdot\text{s}^{-1}.

Phase Transformation and Solid-state Transformations

9 Questions
GATE→2026→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q27
MCQ[1 Mark]
Which one of the following options is correct? In Al - 4 wt.% Cu alloy during isothermal aging, the correct precipitation sequence is: (A) θ′′→θ′→θ→GP zone\theta'' \rightarrow \theta' \rightarrow \theta \rightarrow \text{GP zone} (B) GP zone→θ→θ′→θ′′\text{GP zone} \rightarrow \theta \rightarrow \theta' \rightarrow \theta'' (C) θθ′θ′′→GP zone\theta \theta' \theta'' \rightarrow \text{GP zone} (D) GP zone→θ′′→θ′→θ\text{GP zone} \rightarrow \theta'' \rightarrow \theta' \rightarrow \theta
GATE→2026→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q28
NAT[2 Marks]
An alloy having composition W-20 wt.% Ni is prepared by mixing elemental powders. The resulting powder mixture is liquid phase sintered at 1550∘C1550^\circ\text{C} for 1 hour. The tungsten grain size is 70 μm70\text{ }\mu\text{m} and neck diameter is 35 μm35\text{ }\mu\text{m}. If W-Ni interfacial energy is 0.30 J/m20.30\text{ J/m}^2, W-W interfacial energy is ___ J/m2\text{J/m}^2.
GATE→2026→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q29
NAT[2 Marks]
For homogeneous nucleation with ΔGv=−0.5×108 J/m3\Delta G_v = -0.5 \times 10^8\text{ J/m}^3 and γ=0.1 J/m2\gamma = 0.1\text{ J/m}^2, the critical nucleus size is ___ nm\text{nm}.
GATE→2025→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q30
MCQ[1 Mark]
In the Fe-C system, the invariant reaction Liquid+δ⇌γ\text{Liquid} + \delta \rightleftharpoons \gamma takes place at 1493∘C1493^\circ\text{C}. This type of reaction is called _______. (A) eutectic (B) eutectoid (C) peritectic (D) monotectic
GATE→2025→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q31
MSQ[1 Mark]
Which of the following statements is/are CORRECT with respect to the initial stage of GP zone formation in a precipitation hardenable Al - 4.5 wt.% Cu alloy? (A) GP zones are Cu-rich clusters. (B) GP zones are CuAl2_2 precipitates. (C) GP zones are incoherent with the matrix. (D) GP zones are coherent with the matrix.
GATE→2024→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q32
MCQ[1 Mark]
Which one of the following schematics represents the variation of the rate of nucleation of solid from a pure liquid metal as a function of undercooling (ΔT=Tm−T\Delta T = T_m - T)?
Figure for Question 32
GATE→2024→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q33
NAT[1 Mark]
For a solid embryo in contact with a perfectly flat mould wall as shown in the schematic, the wetting angle θ\theta is ___ degrees (Round off to one decimal place).\nGiven: Surface tension between liquid and mould wall =0.35 J m−2= 0.35\text{ J m}^{-2}, surface tension between solid and mould wall =0.02 J m−2= 0.02\text{ J m}^{-2}, surface tension between liquid and solid =0.30 J m−2= 0.30\text{ J m}^{-2}
Figure for Question 33
GATE→2024→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q34
MCQ[2 Marks]
The constitutional undercooling condition for a hypothetical binary alloy of A with solute B during solidification is shown in the figure along with its binary phase diagram. Based on these two schematics, one can conclude that the solute concentration in region X will be _______ the average composition of the initial liquid phase. (A) less than (B) greater than (C) same as (D) independent of
Figure for Question 34
GATE→2022→Physical Metallurgy→Phase Transformation and Solid-state Transformations
Q35
NAT[2 Marks]
During solidification of a pure metal, the radius of critical nucleus at an undercooling of 10 K10\text{ K} is ___ ×10−9 m\times 10^{-9}\text{ m} (answer rounded off to 1 decimal place).\nGiven: solid/liquid interface energy =0.177 J⋅m−2= 0.177\text{ J}\cdot\text{m}^{-2}, melting point of the metal =1356 K= 1356\text{ K}, and latent heat of fusion =1.88 ×109 J⋅m−3= 1.88\text{ }\times 10^{9}\text{ J}\cdot\text{m}^{-3}.

Principles of Heat Treatment and Corrosion

12 Questions
GATE→2026→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q36
MCQ[1 Mark]
Which one of the following options is correct? For Al - 4% Ag alloy (composition in atom %), the correct sequence of operations involved in precipitation hardening is: (A) Quenching →\rightarrow Aging →\rightarrow Solution treatment (B) Solution treatment →\rightarrow Aging →\rightarrow Quenching (C) Aging →\rightarrow Solution treatment →\rightarrow Quenching (D) Solution treatment →\rightarrow Quenching →\rightarrow Aging
GATE→2026→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q37
MCQ[1 Mark]
Which one of the following options is correct? After cold-working of a metallic specimen, during the recovery stage, its electrical conductivity: (A) Always increases (B) Always decreases (C) Can increase or decrease (D) Remains unaffected
GATE→2026→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q38
MSQ[1 Mark]
Which of the following elements, when present in iron, enhance(s) its corrosion resistance? (A) H (B) Cr (C) S (D) C
GATE→2025→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q39
MSQ[2 Marks]
Which of the following statements is/are CORRECT when Ni is added as an alloying element to a low alloy steel? (A) Hardenability is increased AND the MsM_s temperature is lowered. (B) Hardenability is decreased AND the MsM_s temperature is lowered. (C) Hardenability is increased AND the MsM_s temperature is raised. (D) Hardenability is decreased AND the MsM_s temperature is raised.
GATE→2024→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q40
MCQ[1 Mark]
Which one of the following crystal structure changes occurs during the transformation of mild steel from austenite to martensite? (A) Face centered cubic to body centered cubic (B) Face centered cubic to body centered tetragonal (C) Body centered cubic to body centered tetragonal (D) Body centered tetragonal to face centered cubic
GATE→2024→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q41
MCQ[2 Marks]
The microstructures of a quenched steel tempered at three temperatures T1<T2<T3T_1 < T_2 < T_3 for a fixed time are schematically illustrated with average radii rˉ1<rˉ2<rˉ3\bar{r}_1 < \bar{r}_2 < \bar{r}_3 and volume fractions V1<V2=V3V_1 < V_2 = V_3. If cementite is more noble than ferrite, which microstructure has the highest corrosion rate in 3.5 wt.% NaCl? (A) Microstructure at T1T_1 (B) Microstructure at T3T_3 (C) Microstructure at T2T_2 (D) All have equal corrosion rate
Figure for Question 41
GATE→2024→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q42
NAT[2 Marks]
A mild steel pipeline is connected to zinc for cathodic protection at a current density of 10 mA m−210\text{ mA m}^{-2}. The quantity of zinc required per square meter of the pipeline per year is ___ grams (Round off to the nearest integer).\nGiven: Atomic weight of Zn is 65 g mol−165\text{ g mol}^{-1}, Faraday's constant F=96500 C mol−1F = 96500\text{ C mol}^{-1}.
GATE→2023→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q43
MSQ[2 Marks]
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) HT-3 leads to the formation of a pearlite microstructure (B) HT-1 leads to a predominantly martensite microstructure (C) HT-2 leads to a bainite microstructure (D) HT-3 leads to a mixture of pearlite and bainite microstructure
Figure for Question 43
GATE→2023→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q44
MSQ[2 Marks]
Choose the correct statement(s) in the context of fusion welding of austenitic stainless steel containing about 0.06 wt.%0.06\text{ wt.}\% carbon. (A) Corrosion resistance of heat affected zone is poorer than base material. (B) Corrosion resistance of heat affected zone is superior than fusion zone. (C) Corrosion resistance of heat affected zone is same as fusion zone. (D) Corrosion resistance is same for fusion zone, heat affected zone, and base material.
GATE→2022→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q45
MCQ[1 Mark]
The CCT diagram of a eutectoid steel with a superimposed cooling curve is shown in the figure. The microstructure at room temperature (RT) after this heat treatment is (A) pearlite only (B) pearlite + retained austenite (C) martensite only (D) pearlite + martensite
Figure for Question 45
GATE→2022→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q46
MCQ[1 Mark]
With increase in carbon content (up to 2 mass%) in Fe-C alloy, which one of the following statements is correct with respect to the lattice parameters (cc and aa) of BCT martensite? (A) Both cc and aa increase (B) cc increases but aa decreases (C) cc decreases but aa increases (D) Both cc and aa decrease
GATE→2022→Physical Metallurgy→Principles of Heat Treatment and Corrosion
Q47
MSQ[1 Mark]
Identify the correct statement(s) with respect to the role of nickel as an alloying element in steels. (A) It increases the MsM_s temperature (B) It is an austenite stabiliser (C) It decreases the MsM_s temperature (D) It is a carbide former