Tag: GATE MT Previous Year Questions With Solution
Get all set of GATE MT (Metallurgy) question papers with solution. Download the pdf of GATE MT 2020, 2019, 2018, 2017, 2016, 2015 previous year question papers with solution.
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GATE MT 2021 Q52. At 25 °C, iron corrodes in a deaerated acid of pH 3 with a corrosion current density of 4 µA cm-2. The corrosion potential (V) is: (round off to 2 decimal places). Given: βc = 0.1 V 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-1All potentials are with reference to standard hydrogen electrode.
GATE MT 2021 Q51. A thick steel plate containing 0.1 wt.% C is carburized at 950 °C. The plate’s surface carbon concentration is maintained at 1.1 wt.% C. After 9 hours, the depth (in mm) below the surface at which the carbon concentration is 0.6 wt.% C will be: (round off to 2 decimal places).Given: Diffusivity of carbon in γ-Fe at 950 °C = 1.6 x 10-11 m2 s-1 Error function table:
GATE MT 2021 Q50. A hypothetical binary eutectic phase diagram of A – B is shown below. An alloy with 5 wt.% B solidifies with no convection. Assuming steady state, the critical temperature gradient (in K mm-1) required to maintain planar solidification front is:(round off to nearest integer). Given: Diffusivity of B in liquid = 10-9 m2 s-1 Velocity of solidification front = 4 µm s-1
GATE MT 2021 Q49. 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). Assume: Linear elastic fracture mechanics is validGiven: Fracture toughness, 𝑲𝑰𝑪= 20 MPa m1/2
GATE MT 2021 Q46. Two dislocation lines parallel to z-axis lying in the x-z plane are shown in the figure. The glide force (in Newton) exerted by the edge dislocation on the screw dislocation is:(round off to nearest integer). For the edge, the shear stress component is given by: 𝛕xy = 𝐆𝐛. x. 𝐱2(𝐱 −𝐲 )2 / 𝟐p(𝟏−n) (𝐱𝟐+𝐲𝟐) 𝟐 Given: Shear modulus, G = 28 GPa Poisson’s ratio, n = 0.3 Burgers vector, b = 0.29 nmDistance between the two dislocations = 0.5 nm.
GATE MT 2021 Q43. For the equilibrium reaction: 𝟐𝑪𝒖 (𝒔) + 𝑺𝑶𝟐(𝒈) = 𝑪𝒖𝟐𝑺 (𝒔) + 𝑶𝟐 (𝒈), the value of 𝒍𝒏 ( 𝑷𝑶𝟐/ 𝑷𝑺𝑶𝟐 ) at 973 K is: _ (round off to 2 decimal places).𝑷𝑶𝟐value of 𝒍𝒏 ( ) at 973 K is: _ (round off to 2 decimal places) Given: 𝟐𝑪𝒖 (𝒔) + 𝟎. 𝟓𝑺𝟐(𝒈) = 𝑪𝒖𝟐𝑺 (𝒔) ΔGo at 973 K = -100 kJ 𝑺𝑶𝟐(𝒈) = 𝟎. 𝟓𝑺𝟐(𝒈) + 𝑶𝟐(𝒈) ΔGo at 973 K = 292 kJ R = 8.314 J mol-1 K-1Assume: Cu and Cu2S are pure solids.
GATE MT 2021 Q40. A continuous fillet weld is made using a 3000 W welding machine. At a travel speed of 6 mm s-1, the cross-sectional area (in mm2) of the weld is: (round off to nearest integer). Given: The unit energy required to melt the metal is 6 J mm-3.Heat transfer factor = 0.6 Melting factor = 0.5
Consider the function 𝒇(𝒙) = 𝒙 − 𝐜𝐨𝐬 𝒙. Using Newton-Raphson method, the estimated root of 𝒇(𝒙) after the first iteration is: (round off to 3 decimal places).Assume: Initial guess of the root = 0.5 radians.
Consider the function 𝒇(𝒙) = 𝒙 − 𝐜𝐨𝐬 𝒙. Using Newton-Raphson method, the estimated root of 𝒇(𝒙) after the first iteration is: (round off to 3 decimal places).Assume: Initial guess of the root = 0.5 radians.Read less