Metallurgical Engineering
GATE MT format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 101–110 of 379. Imported answers require independent review unless marked reviewed.
Question 41
Open questionMTMCQ2 marksNeeds review
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.

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The microstructures of a quenched steel tempered at three temperatures
for a fixed time are schematically illustrated. The solid circles represent cementite particles in ferrite matrix;
,
and
are average radii of cementite particles, and
,
and
are volume fractions of cementite at temperatures
,
and
, respectively. If the cementite in steel is more noble than ferrite, then which one of the three microstructures will have the highest corrosion rate when exposed to an aqueous solution of 3.5 wt. % NaCl? 
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An isotropic metallic cuboid block shown in the figure has a coefficient of linear thermal expansion
, Young’s modulus
and Poisson’s ratio
. The dimensions of the cuboid are
,
and
in the X, Y and Z directions, respectively. It is rigidly constrained against expansion in the X direction. However, it is free to expand in the Y and Z directions. It is initially stress-free. Subsequently, it is heated so that its temperature increases by
. What would be the CHANGE in the dimension of the cuboid in the Y direction?Assume linear elasticity, and that thermal as well as mechanical strains are infinitesimally small.

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Match the entries in Column I with the stacking sequences of the close-packed planes listed in Column II.
Column I
P. Face centered cubic (FCC) structure
Q. Intrinsic stacking fault in FCC
R. Across an annealing twin boundary in FCC
S. Hexagonal close-packed structure
Column II
ABCABC
ABABAB
ABCACBC
ABCABCABCBA
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
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Which one of the following graphs represents Griffith’s criterion for the growth of a crack in a brittle isotropic infinite large plate with a center crack?
In the graph,
is the magnitude of the total strain energy released (shown by solid curve) and
is the total surface energy (shown by dashed line) and
is the critical crack length (shown by downward arrow) at which the crack starts growing. The tangent to the
curve parallel to the
line is shown by the dotted line.Your answerChoose one option.
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For rolling of slabs, determine the correctness or otherwise of the following Assertion [a] and Reason [r].
Assertion [a]: Grooves are made on the surface of the rolls parallel to their roll axes to achieve large thickness reduction in a short time.
Reason [r]: Given
is the coefficient of friction between the rolls and the slab, and
is the angle of bite between the entrance plane and the centerline of the rolls, unaided entry of slab in the rolls can take place only if
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“You are delaying the completion of the task. Send ______ contributions at the earliest.”
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References : ______ :: Guidelines : Implement (By word meaning)
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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.)

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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 Olympiad. He dropped out of college.
Based only on the above information, which one of the following statements can be logically inferred with certainty?
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