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799
G-META-20-7
MCQS
MARKS TO ALL
Material manufacturing
In green sand casting, whiich one of the following is NOT a part of the gating system? (A) Runner (B) Sprue (C) Riser (D) Pouring basin
G-META-20-22
NUM
48O TO 494
Mechanical
Given, fracture toughness $K_(1c)$ = 30 MPa$m^(1/2)$ and assume crack geometry factor of unity. A component subjected to tensile stress in a mechanical device is monitored periodically for cracks by NDT. The NDT technique can only detect cracks( both surface and internal) which are larger than 1mm. Keeping a 10% margin...
G-META-20-25
NUM
7 TO 9
Atomic structure
Given, crystal structure and atomic radius of Pb are FCC and 0.175 nm respectively. The number of atoms per unit area($nm^(-2)$) in (100) plane of Pb is?(round off to the nearest integer).
G-META-20-28
MCQS-NUM
C
Electrical
Given, R = 8.314 $J.mol^(-1).K^(-1)$, F = 96500 $C.mol^(-1)$, T = 298K. A galvanic cell is formed by connecting Zn($E°_(Zn^(+2)/Zn)$ = -0.76 V) and Fe($E°_(Fe^(+2)/Fe)$ = -0.44 V) wires immersed in their respective ion solutions. The cell discharges spontaneoulsy with a voltage of 0.5V. The ratio of the concentration o...
G-META-20-34
MCQS-NUM
C
Atomic structure
Given, wavelength of the X-ray used is 0.1543nm. X-ray diffraction pattern from an elemental metal with a FCC crystal structure shows the first peak at a Bragg angle θ = 24.65°. The lattice parameter(in nm) of this metal is? (A) 0.185 (B) 0.262 (C) 0.320 (D) 0.370
G-META-20-40
NUM
0.018 TO 0.020
Atomic structure
Assume hard sphere model and radius of Fe atom as 0.124 nm. Radius(in nm) of the largest interstitial atom that can be accommodated in an octahedral void in BCC iron without distorting the lattice is?(round off to three decimal places)
G-META-20-43
NUM
0.190 TO 0.238
Electrical
Given:(Anodic Tafel Slope is 0.06 V. DIffusion coefficient of oxygen is 2.42* $10^(-5)cm^(2).s^(-1)$. Diffusion layer thickness is 0.06 cm.) Iron is corroding in fresh water which has dissolved oxygen concentration of 15mM. The anodic current density(in $A.cm^(-2)$) at an overpotential of 120 mV is?(round off to three ...
G-META-20-44
NUM
0.54 TO 0.58
Miscellaneous
Given, density of oxide is 6.5 $g.cm^(-3)$. A metal oxidizes at 1200K with a parabolic rate constant of 3* $10^(-6)g^(2).cm^(-4).s^(-1)$. Time taken(in seconds) for the oxide film to grow to a thickness of 2 µm is?(round off to two decimal places).
G-META-20-48
NUM
28.6 TO 29.0
Phase transition
Given, melting temperature and enthalpy of melting of copper are 1356K and 13 $KJ.mol^(-1)$ respectively. If liquid copper is cooled to 1353 K, magnitude of the driving force($J.mol^(-1)$) for liquid to transform to solid is?(round off to one decimal places)
G-META-20-49
NUM
19 TO 21
Material manufacturing
Assume: 1. Thermodynamic equilibrium. 2. No sulphur in the slag prior to desulphurization treatment. Given the equilibrium sulphur partition ratio between slag and steel, [(wt.%S)in slag]/[(wt.%S) in steel] is 50. 1000kg of liquid steel containing 0.03 wt.% S needs to be desulphurized using a slag to bring the sulphur ...
G-META-20-50
NUM
0.14 TO 0.16
Electrical
Given: 1. Avogadro number is 6.02 * $10^(23)$. 2. Density of Si is 2.33 * $g.cm^(-3)$. 3. Atomic weight of P is 30.97. 4. Charge of electron is 1.6 * $10^(-19)A.s$ 5. Mobility of electron is 0.2 $m^(2).V^(-1).s^(-1)$. Zone refining of Si results in residual P content of 0.1 parts per billion by weight. The electrical c...
G-META-20-51
NUM
933 TO 939
Mechanical
The steady state creep rate of a material increasees by a factor of 20 when the temperature is increased from 890K to 980K. The creep rate at a temperature of x K (round off to the nearest integer) will be 5 times the creep rate at 890 K. Find x.
G-META-20-52
NUM
2.6 TO 3.0
Mechanical
Crack growth is being continuously measured in a test specimen subjected to constant amplitude cyclic stress with a mean stress of zero. The crack growth rate is related to the stress intensity range, ΔK as da/dN ∝ $(ΔK)^(3)$, where, a is the crack lenght and N is the number of cycles. When the crack length increases b...
G-META-20-54
NUM
0.06 TO 0.08
Material manufacturing
Given: $[C]_(1 wt.% Henrian Std. State)$ + $[O]_(1 wt.% Henrian Std. State)$ → $(CO)_(1 atm. Std. State)$. ΔG° = -19840 -40.65 T J. R = 8.314 $J.mol^(-1).K^(-1)$. Assume: 1. Equilibrium between dissolved carbon [C], dissolved oxygen [O], and CO (gas) at 1 atmpshere. 2.Henry's law is valid for both [C] and [O]. A basic ...
G-META-21-9
MCQS
D
Material manufacturing
Which one of the following elements alloyed with iron is a ferrite stabilizer? (A) Nickel (B) Manganese (C) Carbon (D) Silicon
G-META-21-16
NUM
-48251 TO -48240
Electrical
Given: F = 96500 C $mol^(-1)$. If $E°_(Ni^(+2)/Ni)$ = -0.25V, the value of $µ°_(Ni^(+2))$ (in J $mol^(-1)$) at 298 K is?(round off to nearest integer)
G-META-21-17
NUM
-2962 TO -2958
Phase transition
Assume: $(C_p)^(liquid)$ = $(C_p)^(solid)$. Melting point of Cu is 1358K and its enthalpy of melting is 13400 J $mol^(-1)$. The value of free energy change (in J $mol^(-1)$) for liquid to solid transformation at 1058K is?(round off to nearest integer)
G-META-21-20
NUM
1.7 TO 2.3
Magnetism
Given: (Lattice paramter of iron at room temperature = 0.287 nm). If saturation magnetization of iron at room temperature is 1700 $kAm^(-1)$, then magnetic moment (in $Am^(2)$) per iron atom in the crystal is x * $10^(-23)$(round off to 1 decimal place).
G-META-21-21
NUM
34.8 TO 36.1
Atomic structure
In the X-ray diffraction pattern of a FCC crystal, the first reflection occurs at a Bragg angle (θ) of 30°. The Bragg angle(in degree) for the second reflection will be?(round off to 1 decimal places)
G-META-21-22
NUM
0.22 TO 0.30
Phase transition
Given: Eutectoid composition: 0.8 wt.%C. Maximum solubility of carbon in α-Fe: 0.025 wt.% C. A 0.6 wt.% C steel sample is slowly cooled from 900°C to room temperature. The fraction of proeutectoid ferrite in the microstructure is?(round off to 2 decimal places).
G-META-21-25
NUM
6.85 TO 7.00
Atomic structure
Given: R = 8.314 J $mol^(-1)K^(-1)$. The vacancy concentration in a crystal doubles upon increasing the temperature from 27°C to 127°C. The enthalpy (in KJ $mol^(-1)$) of vacancy formation is? (round off to 2 decimal places).
G-META-21-31
MCQS
B
Mechanical
In the absence of any external stress, which one of the following statements related to the interaction of point defect and a dislocation is FALSE: (A) An oversized solute atom would preferentially migrate below the slip plane of an edge dislocation (B) A spherically symmetric point defect can interact with both the h...
G-META-21-41
NUM
58 TO 62
Material manufacturing
Liquid iron is cast into a spherical sand mold (6cm radius) and a cubical sand mold (12cm edge length). If solidification time is 60 minutes in the spherical casting, the time(in minutes) required to solidify in the cubical casting is?(round off to nearest integer)
G-META-21-42
NUM
0.90 TO 0.94 OR -0.94 TO -0.90
Material manufacturing
True strain for 60% height reduction of a sample subjected to hot forging is?(round off to 2 decimal places).
G-META-21-43
NUM
-24.00 TO -23.50
Thermodynamics
Given: 2Cu(s) + 0.5$S_2$(g) = $Cu_2$S(s), ΔG° at 973 K = -100 kJ. $SO_2$(g) = 0.5$S_2$(g) + $O_2$(g) ΔG° at 973K = 292 kJ, R = 8.314 J $mol^(-1)K^(-1)$. Assume Cu and $Cu_(2)S$ are pure solids. For the equlibrium reaciton: 2Cu(s) + $SO_2$(g) = $Cu_2$S(s) + $O_2$(g), the value of ln($P_(O_2)$/$P_(SO_2)$) at 973K is?(rou...
G-META-21-44
NUM
2230 TO 2270
Thermodynamics
Given: R = 8.314 J $mol^(-1)K^(-1)$, 1atm = 101325 Pa; $C_p$ = 2.5 R. One mole of an ideal gas at 10atm and 300K undergoes reversible adiabatic expansion to a pressure of one atm. The work done(in Joules) by the gas is?(round off to nearest integer)
G-META-21-48
NUM
0.6 TO 0.6
Mechanical
A metal plate is in a state of plane strain ($ε_(zz)$ = 0) with $σ_(xx)$ = $σ_(yy)$ != 0 and $τ_(xy)$ = $τ_(xz)$ = $τ_(yz)$ = 0. If the Poisson's ratio is 0.3, the ratio of $σ_(zz)/σ_(xx)$ is?(round off to 1 decimal place).
G-META-21-49
NUM
98 TO 102
Mechanical
Assume: Linear elastic fracture mechanics is valid. Given: Fracture toughness, $K_(1c)$ = 20 MPa $m^(1/2)$. An infinite metal plate has a central through-thickness crack of length 80/π mm. The maximum applied stress(in Mpa) that the plate can sustain in mode I is?(round off to nearest integer)
G-META-21-52
NUM
-0.60 TO -0.50
Electrical
Given: $β_c$ = 0.1V per decade of current density. Exchange current density of hydrogen on iron surface = $10^(-9)$ A $cm^(-2)$, R = 8.314 J $mol^(-1)K^(-1)$, F = 96500 C $mol^(-1)$. All potentials are with reference to standard hydrogen electrode. At 25°C, iron corrodes in a dearated acid of pH 3 with a corrosion curr...
G-META-21-53
NUM
0.017 TO 0.023
Atomic structure
Assume the radius of Fe atom to be 0.124 nm. The radius of an interstitial atom which just fits(without distorting the structure) inside an octahedral void of a bcc-iron crystal (in nm) is?(round off to 3 decimal places)
G-META-22-25
MCQS
A
Material manufacturing
Which one of the following modern practices is used for retarding the solution loss reaction in blast furnace ironmaking? (A) High top pressure (B) Bell-less top (C) Pulverized coal injection (D) Rotating chute for burden distribution
G-META-22-29
MATCH
B
Mechanical
With reference to the stress intensity factor, find the correct match of nomenclature (Column A) with the mode of deformation applied to the crack (Column B). Column A: [(P) Mode I, (Q) Mode II, (R) Mode III] COlumn B: [(X) Forward shear mode, (Y) Parallel shear mode, (Z) Crack opening mode ] Options: (A) P - Z, ...
G-META-22-32
MCQS
B,C
Atomic structure
While designing a material for high temperature application, which of the following characteristic(s)/attribute(s) is(are) desirable for achieving better creep resistance? (A) Fine grain size (B) FCC crystal structure (C) High melting point (D) Cold worked microstructure
G-META-22-44
MCQS
A,C,D
Material processing
Which of the following parameter(s) influence(s) the melting rate of the consumable wire in a gas metal arc welding process? (A) Stick-out length (B) Welding speed (C) Welding current (D) Diameter of the consumable wire
G-META-22-46
NUM
0.069 TO 0.075
Mechanical
From high temperature tensile testing, the flow stress (measured at the same value of strain) of an alloy was found to be 50 MPa at a strain rate of 0.1 $s^(-1)$ and 70 MPa at a strain rate of 10$s^(-1)$. The strain rate sensitivity parameter is? (round off to 3 decimal places).
G-META-22-47
NUM
4.3 TO 4.3
Thermodynamics
Given: 1 bar = $10^5$ Pa and the surface tension of the steel at 1773 K is 1.4 N⋅ $m^(-1)$ A spherical gas bubble of radius 0.01 mm is entrapped in molten steel held at 1773 K. If the pressure(in bar) outside the bubble is 1.5 bar, the pressure inside the bubble is? (round off to 1 decimal place).
G-META-22-48
NUM
2.7 TO 2.76
Thermodynamics
Given: $Δ_(f)G°_(1873)$ = -262300J; $a_(MoO_(2))$ (s) = 0.5 and $Δ_(r)G°_(1873)$ = -120860J for the reaction CO(g) + 0.5$O_2$(g)⇔ $CO_2$(g); R = 8.314 J.$K^(-1).mol^(-1)$. What is the equilibrium ($p_(CO)$/$p_(CO_2)$) ratio for the given reaction at 1873 K? (round off to 2 decimal places). Mo(s) + $O_2$(g) ⇔ $MoO_2$(s)
G-META-22-49
NUM
-233.5 TO -232.5
Electrical
Given: R = 8.314 J.$K^(-1).mol^(-1)$ and F = 96500 C.$mol^(-1)$. The emf of the cell Au-Pb(liquid) | $PbCl_2$-KCl(liquid) | $Cl_2$(gas, 0.5 atm), C(graphite) is 1.2327 V at 873 K. Activity of Pb in the Au-Pb alloy is 0.72 and the activity of $PbCl_2$ in the electrolyte is 0.18. The standard Gibbs energy(kJ.$mol^(-1)$) ...
G-META-22-50
NUM
2.86 TO 2.93
Atomic structure
Consider a tilt boundary of misorientation of 2° in an aluminium grain. The lattice parameter of aluminium is 0.143 nm. The spacing(in nm) between the dislocations that form the tilt boundary is? (round off to 2 decimal places).
G-META-22-51
NUM
400 TO 400
Material manufacturing
Molten steel at 1873 K weighing 100 metric tons is desulfurized using 1250 kg of synthetic slag by equilibration. If the sulfur content in the steel is reduced from 0.015 mass% to 0.0025 mass%, the desulfurizing index is? (round off to the nearest integer).
G-META-22-53
NUM
0.121 TO 0.125
Thermodynamics
Given: R = 8.314 J.$K^(-1).mol^(-1)$. The partial molar enthalpy of Au in Ag-Au melt containing 25 mol% Au at 1400 K is -8300 $J.mol^(-1)$ . Assuming regular solution behavior, the activity of Au in the melt is? (round off to 3 decimal places).
G-META-22-55
NUM
25.1 TO 25.9
Thermodynamics
Given: solid/liquid interface energy = 0.177 $J.m^(-2)$ , melting point of the metal = 1356 K and latent heat of fusion = 1.88 × $10^9$ $J.m^(-3)$. During solidification of a pure metal, the radius(in nm) of critical nucleus at an undercooling of 10 K is? (answer rounded off to 1 decimal place).
G-META-22-56
NUM
15 TO 15
Transport phenomena
Given: diffusion coefficient of the solute in the solid is 3 * $10^(-3)mm^(2)⋅s^(-1)$.The concentration 𝐶 of a solute (in units of $atoms.mm^(-3)$) in a solid along 𝑥 direction (for 𝑥 > 0) follows the expression: C= $a_(1)*x^(2)$ + $a_2*x$ where 𝑥 is in mm, $𝑎_1$ and $𝑎_2$ are in units of $atoms.mm^(-5)$ and $ato...
G-META-22-57
NUM
1.059 TO 1.071
Thermodynamics
Given: molar volume = 7* $10^(-6)m^(3).mol^(-1) , isothermal compressibility = 8*$10^(-12)$ $Pa^(-1)$ , isobaric expansivity = 6* $10^(-5)K^(-1)$ and R = 8.314 $J.K^(-1).mol^(-1). Assuming that Dulong-Petit law is valid for a monoatomic solid, the ratio of heat capacities $C_(p)/C_(v)$ at 500K is? (round off to 3 decim...
G-META-22-58
NUM
197 TO 201
Material Applications
A sieve made of steel wire of diameter 53 µm has an aperture size of 74 µm. Its mesh number is? (round off to the nearest integer).
G-META-22-59
NUM
220 TO 220
Material processing
Steel plates are welded autogenously using Gas Tungsten Arc welding with an arc heat transfer efficiency of 0.65. The first weld is made using a welding current of 200 A at an arc voltage of 18 V with a welding speed of 0.002 $m.s^(-1)$. The second weld is made at a welding speed of 0.0022 $m.s^(-1)$ with the same arc ...
G-META-22-60
NUM
200 TO 210
Mechanical
A cylindrical specimen of an Al alloy with diameter of 30 mm is cold extruded to a diameter of 20 mm. If the flow behavior of the alloy is expressed by the equation, 𝜎 = 350 $𝜖^(0.3)$ MPa, the ideal plastic work(in mega joules) of deformation per unit volume is?(answer rounded off to the nearest integer).
G-META-22-62
NUM
16.55 TO 18.55
Thermodynamics
Given: the coefficient of convective heat transfer from tube wall to air is 500 $W.m^(-2).K^(-1)$ . Assume specific heat capacity of air to be constant and equal to 1080 $J.kg^(-1).K^(-1)$ and π = 3.14. Air at 300 K is passed at a mass flow rate of 1.5 $kg.s^(-1)$ through a metallic tube of inner diameter 0.08 m. Inner...
G-META-22-65
NUM
59 TO 61
Material Applications
The equilibrium microstructure of an alloy A-B consists of two phases α and β in the molar proportion 2:1. If the overall composition of the alloy is 70 mol% B and the composition of β is 90 mol% B, the composition(in mol% B) of α is ? (round off to the nearest integer).