Metallurgical Engineering
GATE MT format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 232. Imported answers require independent review unless marked reviewed.
Question 58
Open questionMTNAT2 marksNeeds review
A non-porous spherical Fe
O
particle of initial radius of
is topochemically reduced by H
, where the reactant-product interface is sharp and spherical, and reaction rate is proportional to the interfacial area. The radius of the unreacted Fe
O
particle after 600
will be ______
.
(Round off to the nearest integer).Given: Rate constant
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Open questionMTNAT2 marksNeeds review
A long metallic cylindrical rod of radius
, length
(
) and electrical resistivity
is kept in vacuum and is carrying an electric current of
. The only way it loses heat to the ambient is via radiation. If the ambient temperature is
, then the steady-state temperature of the rod is ________
.
(Round off to the nearest integer).Given: Stefan-Boltzmann constant =
Neglect the heat loss by the two flat ends of the rod and assume emissivity = 1.
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Open questionMTNAT2 marksNeeds review
100
of sphalerite concentrate containing 60% ZnS is COMPLETELY roasted with stoichiometric amount of pure oxygen. The amount of oxygen required is _____
. (Round off to one decimal place).Assume that the other components in the concentrate are not reactive.
Given: Atomic weight values (in
) for Zn = 65, S = 32, O = 16.Log in to check the answer
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Open questionMTNAT2 marksNeeds review
80
of A-B alloy containing 20 wt.% B is held at temperature
. The weight of B dissolved in
at that temperature is ________
.
(Round off to the nearest integer).
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Open questionMTNAT2 marksNeeds review
A mild steel pipeline is connected to zinc for cathodic protection at a current density of 10
. The quantity of zinc required per square meter of the pipeline per year is ________
. (Round off to the nearest integer).Given: Atomic weight of Zn is 65
Faraday’s constant
(of electrons)Log in to check the answer
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Open questionMTNAT2 marksNeeds review
A large rectangular component is undergoing fully-reversed cyclic loading, and the component is known to grow the dominant fatigue crack from the outer surface. If the stress amplitude (
) is 100
and the critical stress intensity factor
of the material is 50
then the crack length at which the component will fail catastrophically is _____
.
(Round off to one decimal place)Given: The geometric factor
for this loading condition is 1.12.Log in to check the answer
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Open questionMTNAT2 marksNeeds review
In casting, for a simple vertical gating system with a gate of cross-sectional area 2
and sprue height of 10
, the filling time for a mould of dimensions 40
, is ________
.
(Round off to one decimal place)Given: Acceleration due to gravity
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Open questionMTNAT2 marksNeeds review
During arc welding, the actual heat input is 200
and the current and voltage are 200 A and 20 V, respectively. For a weld cross-sectional area of 2
and heat transfer efficiency of 0.9, the velocity of welding is ________
. (Round off to the nearest integer).Log in to check the answer
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Open questionMTNAT1 markNeeds review
The sum of eigen values of the matrix
is __________ (in integer).Log in to check the answer
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Open questionMTNAT1 markNeeds review
The probability of setting an easy exam paper by three setters are
,
, and
. 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).Log in to check the answer
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