GATE 2026 Question Paper Metallurgical Engineering (MT)
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GATE 2026 Question Paper Metallurgical Engineering (MT) – Text
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Page 1
FOR GATE EXAM PREPARATION
GATE 2026
Question Paper ·
Metallurgical
Engineering (MT)
EXAM YEAR TYPE SUBJECT
GATE 2026 Question Paper Metallurgical Engineering (MT)
Notes · Sample Papers · Previous Year Papers · Mock Tests
GATE 2026
Question Paper ·
Metallurgical
Engineering (MT)
EXAM YEAR TYPE SUBJECT
GATE 2026 Question Paper Metallurgical Engineering (MT)
Notes · Sample Papers · Previous Year Papers · Mock Tests
Page 2
m
m .co
m .co s e m
se g l a
a
General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each
Q.1 ‘The team ______ more than 300 runs in 20 overs ___________ rains.
However, some players needed to improve their batting skills.’
m
m .co
Choose the option with the correct sequence of words to fill the blanks.
.co s e m
s em l a
g la ag
(A) a score; despite
(B) scoring; instead of
(C) scored; despite
m
.co
(D) scoring; in spite of
e m
las
ag
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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m .co
m .co s e m
se g l a
a
General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each
Q.1 ‘The team ______ more than 300 runs in 20 overs ___________ rains.
However, some players needed to improve their batting skills.’
m
m .co
Choose the option with the correct sequence of words to fill the blanks.
.co s e m
s em l a
g la ag
(A) a score; despite
(B) scoring; instead of
(C) scored; despite
m
.co
(D) scoring; in spite of
e m
las
ag
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Page 3
Q.2 If a positive real 𝑥 satisfies the following equation
log 2 𝑥 + log √2 𝑥 = 48,
then the value of 𝑥 is _________________
(A) 216
(B) 416
(C) 214
(D) 414
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log 2 𝑥 + log √2 𝑥 = 48,
then the value of 𝑥 is _________________
(A) 216
(B) 416
(C) 214
(D) 414
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Page 4
m
m .co
m .co s e m
se g l a
a
Q.3 The next figure (indicated by ‘?’) in the sequence is
m
m .co
m .co s e m
s e l a
g l a ag
a
(A)
m
m .co
s e
la
(B)
ag
(C)
m
m .co
m .co s e m
s e (D)
g l a
g la a
a
m .
.co s e m
s em l a
la
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ag
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m .co
m .co s e m
se g l a
a
Q.3 The next figure (indicated by ‘?’) in the sequence is
m
m .co
m .co s e m
s e l a
g l a ag
a
(A)
m
m .co
s e
la
(B)
ag
(C)
m
m .co
m .co s e m
s e (D)
g l a
g la a
a
m .
.co s e m
s em l a
la
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Page 5
Q.4 ‘All the mangoes in the basket are good.’
If the above statement is false, then which one of the following statements is
necessarily true?
(A) All the mangoes in the basket are not good.
(B) No mango in the basket is good.
(C) In the basket, some of the mangoes are good and some are not good.
(D) There exists at least one mango in the basket that is not good.
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If the above statement is false, then which one of the following statements is
necessarily true?
(A) All the mangoes in the basket are not good.
(B) No mango in the basket is good.
(C) In the basket, some of the mangoes are good and some are not good.
(D) There exists at least one mango in the basket that is not good.
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Page 6
m
m .co
m .co s e m
se g l a
a
Q.5 Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
m
.co
(S3) Each number is at least 20
m
.co
Choose the option that is necessarily correct.
m s e m
s e l a
g l a ag
a
(A) (S1) and (S2) together imply (S3)
(B) (S2) and (S3) together imply (S1)
(C) (S1) and (S3) together imply (S2)
m
(D) (S1) implies (S3)
m .co
s e
g la
a
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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m .co
m .co s e m
se g l a
a
Q.5 Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
m
.co
(S3) Each number is at least 20
m
.co
Choose the option that is necessarily correct.
m s e m
s e l a
g l a ag
a
(A) (S1) and (S2) together imply (S3)
(B) (S2) and (S3) together imply (S1)
(C) (S1) and (S3) together imply (S2)
m
(D) (S1) implies (S3)
m .co
s e
g la
a
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Page 7
Q.6 – Q.10 Carry TWO marks Each
Q.6 ‘People are crowding around ___ pit into which ___ elephant has fallen. I have
never seen an elephant looking more bewildered ___ miserable. Here it is in a
most undignified position, thrust into a pit and made to look up ___ a vast,
curiosity-stricken crowd.’
Choose the option with the correct sequence of words to fill the blanks.
(A) an; a; at; and
(B) a; an; and; at
(C) and; a; an; at
(D) at; a; an; and
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Q.6 ‘People are crowding around ___ pit into which ___ elephant has fallen. I have
never seen an elephant looking more bewildered ___ miserable. Here it is in a
most undignified position, thrust into a pit and made to look up ___ a vast,
curiosity-stricken crowd.’
Choose the option with the correct sequence of words to fill the blanks.
(A) an; a; at; and
(B) a; an; and; at
(C) and; a; an; at
(D) at; a; an; and
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Page 8
m
m .co
m .co s e m
se g l a
a
Q.7 The table lists the unit selling price of five products P, Q, R, S, and T. On a
particular day, 250 items were sold with the average selling price of Rs. 60.
The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
m
(iii)
m
The quantity of Q sold was four times that of T.
.co
.co s e m
s em l a
ag
Product P Q R S T
g la
a Unit selling price (Rs.) 100 50 40 60 60
What is the quantity of product P sold on that day?
m
(A) 40
m .co
s e
(B) 50
g la
a
(C) 60
(D) 70
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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m .co
m .co s e m
se g l a
a
Q.7 The table lists the unit selling price of five products P, Q, R, S, and T. On a
particular day, 250 items were sold with the average selling price of Rs. 60.
The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
m
(iii)
m
The quantity of Q sold was four times that of T.
.co
.co s e m
s em l a
ag
Product P Q R S T
g la
a Unit selling price (Rs.) 100 50 40 60 60
What is the quantity of product P sold on that day?
m
(A) 40
m .co
s e
(B) 50
g la
a
(C) 60
(D) 70
m
m .co
m .co s e m
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Page 9
Q.8 Consider a string P of length 𝑙 that is laid out as a straight-line segment. Another
string K is laid out as a semicircular arc with string P as its diameter, as
represented in Figure (i). When both the strings are shortened by a length 𝑥 they
can be re-arranged such that the shortened string K forms a full circle with the
shortened string P as its diameter, as represented in Figure (ii). The value of 𝑥/𝑙
is __________
(A) 𝜋
(B) 𝜋−1
2𝜋
(C) 𝜋
2(𝜋−1)
(D) 𝜋
𝜋−1
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string K is laid out as a semicircular arc with string P as its diameter, as
represented in Figure (i). When both the strings are shortened by a length 𝑥 they
can be re-arranged such that the shortened string K forms a full circle with the
shortened string P as its diameter, as represented in Figure (ii). The value of 𝑥/𝑙
is __________
(A) 𝜋
(B) 𝜋−1
2𝜋
(C) 𝜋
2(𝜋−1)
(D) 𝜋
𝜋−1
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Page 10
m
m .co
m .co s e m
se g l a
a
Q.9 The Roman senator Meritorius, his brother, his son, and his daughter have
varying oratory skill levels. They are seated in rows and columns as shown
in the figure with exactly one person sitting in each box. It is known that
(i) Meritorius’ daughter and his brother are seated in the same column.
(ii) His son is seated diagonally across the sibling of the worst orator.
m
.co
(iii) The best and worst orators are seated in the same row.
m
.co
Who is the best orator?
m s e m
s e l a
g l a ag
a
m
m .co
s e
g la
a
(A) Meritorius
(B) Meritorius’ brother
(C) Meritorius’ son
m
m
c. o(D) Meritorius’ daughter
m.co
m s e
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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m .co
m .co s e m
se g l a
a
Q.9 The Roman senator Meritorius, his brother, his son, and his daughter have
varying oratory skill levels. They are seated in rows and columns as shown
in the figure with exactly one person sitting in each box. It is known that
(i) Meritorius’ daughter and his brother are seated in the same column.
(ii) His son is seated diagonally across the sibling of the worst orator.
m
.co
(iii) The best and worst orators are seated in the same row.
m
.co
Who is the best orator?
m s e m
s e l a
g l a ag
a
m
m .co
s e
g la
a
(A) Meritorius
(B) Meritorius’ brother
(C) Meritorius’ son
m
m
c. o(D) Meritorius’ daughter
m.co
m s e
s e g l a
g la a
a
m .
.co s e m
s em l a
la
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Page 11
Q.10 Which one of the patterns labelled P, Q, R, and S is used to generate the following
figure?
P Q
R S
(A) P
(B) Q
(C) R
(D) S
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figure?
P Q
R S
(A) P
(B) Q
(C) R
(D) S
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Page 12
.
.co s e m
s em l a
a ag
Q.11 – Q.35 Carry ONE mark Each
Q.11 Given a function f (t ) e at , where a is a constant. The Laplace transform of the
m
function is ℒ [ f (t )] F ( s ) . Which one of the following options is correct?
om . co
. c e m
e m l as
l as ag
(A) ag F ( s) 1
( s a)
(B) F (s) s
(s 2 a 2 )
(C) F (s) a
(s 2 a 2 )
m
m .co
(D) F (s) 1
( s a) s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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s
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.co s e m
s em l a
a ag
Q.11 – Q.35 Carry ONE mark Each
Q.11 Given a function f (t ) e at , where a is a constant. The Laplace transform of the
m
function is ℒ [ f (t )] F ( s ) . Which one of the following options is correct?
om . co
. c e m
e m l as
l as ag
(A) ag F ( s) 1
( s a)
(B) F (s) s
(s 2 a 2 )
(C) F (s) a
(s 2 a 2 )
m
m .co
(D) F (s) 1
( s a) s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 13
Q.12
Select the correct pair of eigen vectors for the following symmetric matrix.
1 2
2 4
(A) 1 2
2 and 1
(B) 1 2
2 and 1
(C) 1 2
2 and 1
(D) 1 2
2 and 1
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Select the correct pair of eigen vectors for the following symmetric matrix.
1 2
2 4
(A) 1 2
2 and 1
(B) 1 2
2 and 1
(C) 1 2
2 and 1
(D) 1 2
2 and 1
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Page 14
.
.co s e m
s em l a
a ag
Q.13 Choose one correct option.
Given w f (ax by ) where a and b are constants.
m
co
w
a w is:
The value of
om .
b
x y
. c e m
e m l as
l as ag
g
a(A) a
(B) b
(C) ba
m
.co
(D) 0
e m
l as
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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.co s e m
s em l a
a ag
Q.13 Choose one correct option.
Given w f (ax by ) where a and b are constants.
m
co
w
a w is:
The value of
om .
b
x y
. c e m
e m l as
l as ag
g
a(A) a
(B) b
(C) ba
m
.co
(D) 0
e m
l as
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 15
Which one of the following fusion welding techniques results in least
Q.14 Heat-Affected Zone (HAZ)?
(A) Submerged Arc Welding (SAW)
(B) Tungsten Inert Gas Welding (TIG)
(C) Electron Beam Welding (EBW)
(D) Oxy-Acetylene Welding (OAW)
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Q.14 Heat-Affected Zone (HAZ)?
(A) Submerged Arc Welding (SAW)
(B) Tungsten Inert Gas Welding (TIG)
(C) Electron Beam Welding (EBW)
(D) Oxy-Acetylene Welding (OAW)
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Page 16
.
.co s e m
s em l a
a ag
Q.15
During metallography, Nital is the most commonly used for
m
m . co
c. o
etching _____________.
s e m
s em g l a
g la a
(A)
a Bronze
(B) Brass
(C) Mild Steel
m
.co
(D) Aluminium
e m
l as
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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s
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.co s e m
s em l a
a ag
Q.15
During metallography, Nital is the most commonly used for
m
m . co
c. o
etching _____________.
s e m
s em g l a
g la a
(A)
a Bronze
(B) Brass
(C) Mild Steel
m
.co
(D) Aluminium
e m
l as
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 17
Q.16 Which one of the following options is correct?
In a face-centered cubic metal, Shockley partial is:
(A) Perfect and mobile dislocation
(B) Perfect and immobile dislocation
(C) Imperfect and immobile dislocation
(D) Imperfect and mobile dislocation
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In a face-centered cubic metal, Shockley partial is:
(A) Perfect and mobile dislocation
(B) Perfect and immobile dislocation
(C) Imperfect and immobile dislocation
(D) Imperfect and mobile dislocation
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Page 18
.
.co s e m
s em l a
a ag
Q.17
Deformation mechanism map of a given material is used for determining which
m
om
one of the following properties?
. co
. c e m
e m l as
l as ag
(A) ag Fatigue strength
(B) Creep rate
(C) Tensile strength
(D) Impact toughness
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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.co s e m
s em l a
a ag
Q.17
Deformation mechanism map of a given material is used for determining which
m
om
one of the following properties?
. co
. c e m
e m l as
l as ag
(A) ag Fatigue strength
(B) Creep rate
(C) Tensile strength
(D) Impact toughness
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 19
Which one of the following dislocation dissociation reactions is feasible in
Q.18 face-centered cubic metals?
(A) a/2 [01 1] a/6 [12 1] + a/6 [11 2]
(B) a/2 [01 1] a/6 [1 1 2] + a/6 [2 11]
(C) a/2 [01 1] a/6 [11 2] + a/6 [121]
(D) a/2 [01 1] a/6 [12 1] + a/6 [211]
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Q.18 face-centered cubic metals?
(A) a/2 [01 1] a/6 [12 1] + a/6 [11 2]
(B) a/2 [01 1] a/6 [1 1 2] + a/6 [2 11]
(C) a/2 [01 1] a/6 [11 2] + a/6 [121]
(D) a/2 [01 1] a/6 [12 1] + a/6 [211]
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Page 20
.
.co s e m
s em l a
a ag
Q.19 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:
m
om . co
. c e m
e m l as
(A)
l as
Quenching Aging Solution treatment
ag
g
a Solution treatment Aging Quenching
(B)
(C) Aging Solution treatment Quenching
(D) Solution treatment Quenching Aging
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.19 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:
m
om . co
. c e m
e m l as
(A)
l as
Quenching Aging Solution treatment
ag
g
a Solution treatment Aging Quenching
(B)
(C) Aging Solution treatment Quenching
(D) Solution treatment Quenching Aging
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 21
Q.20 Which one of the following is NOT a state function?
(A) Enthalpy
(B) Entropy
(C) Work
(D) Internal Energy
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(A) Enthalpy
(B) Entropy
(C) Work
(D) Internal Energy
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Page 22
.
.co s e m
s em l a
a ag
Q.21 For a regular solution, which one of the following statements is correct?
(Hmix is the enthalpy of mixing and Smix is the entropy of mixing)
m
om . co
. c e m
(A)
e m
Both Hmix and Smix are finite
l as
as ag
(B) glH is zero and S is finite
a mix mix
(C) Hmix is finite and Smix is zero
(D) Both Hmix and Smix are zero
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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.co s e m
s em l a
a ag
Q.21 For a regular solution, which one of the following statements is correct?
(Hmix is the enthalpy of mixing and Smix is the entropy of mixing)
m
om . co
. c e m
(A)
e m
Both Hmix and Smix are finite
l as
as ag
(B) glH is zero and S is finite
a mix mix
(C) Hmix is finite and Smix is zero
(D) Both Hmix and Smix are zero
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 23
Q.22 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
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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
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Page 24
.
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a ag
Q.23 Which one of the following options is correct?
In Al - 4 wt.% Cu alloy during isothermal aging, the correct precipitation
sequence is:
m
om . co
. c e m
e m l as
(A)
l as
GP zone
ag
g
a GP zone
(B)
(C) GP zone
(D) GP zone
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.23 Which one of the following options is correct?
In Al - 4 wt.% Cu alloy during isothermal aging, the correct precipitation
sequence is:
m
om . co
. c e m
e m l as
(A)
l as
GP zone
ag
g
a GP zone
(B)
(C) GP zone
(D) GP zone
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 25
Q.24 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
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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
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Page 26
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.co s e m
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Q.25 Which one of the following options is correct?
Red mud is generated in the production of:
m
om . co
. c e m
(A)
em
Aluminium
l as
l as ag
g
(B) a Iron
(C) Titanium
(D) Copper
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.25 Which one of the following options is correct?
Red mud is generated in the production of:
m
om . co
. c e m
(A)
em
Aluminium
l as
l as ag
g
(B) a Iron
(C) Titanium
(D) Copper
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 27
Q.26 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
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following techniques:
(A) X-ray Diffraction (XRD)
(B) Tensile Testing
(C) Thermo-Gravimetric Analysis (TGA)
(D) Optical Microscopy
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Page 28
.
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Q.27 Which one of the following options is correct?
m
om
In a convective heat transfer for laminar flow over a flat plate, Nusselt number is a . co
. c
function of Reynolds number and Prandtl number. Similarly, in a convective mass
e m
e m
transfer for laminar flow over a flat plate, Sherwood number is a function of:
l as
l as ag
ag
(A) Schmidt number and Reynolds number
(B) Weber number and Reynolds number
(C) Schmidt number and Weber number
m
(D) Weber number and Prandtl number
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Q.27 Which one of the following options is correct?
m
om
In a convective heat transfer for laminar flow over a flat plate, Nusselt number is a . co
. c
function of Reynolds number and Prandtl number. Similarly, in a convective mass
e m
e m
transfer for laminar flow over a flat plate, Sherwood number is a function of:
l as
l as ag
ag
(A) Schmidt number and Reynolds number
(B) Weber number and Reynolds number
(C) Schmidt number and Weber number
m
(D) Weber number and Prandtl number
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 29
Q.28 Which one of the following options is correct?
For a solid immersed in a fluid, the convective heat transfer coefficient across the solid-fluid
interface is NOT dependent on:
(A) Solid-fluid interfacial area
(B) Thermal conductivity of solid
(C) Roughness of solid surface
(D) Viscosity of fluid
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For a solid immersed in a fluid, the convective heat transfer coefficient across the solid-fluid
interface is NOT dependent on:
(A) Solid-fluid interfacial area
(B) Thermal conductivity of solid
(C) Roughness of solid surface
(D) Viscosity of fluid
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Page 30
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Q.29 Ergun equation is NOT applied in which one of the following unit operations to
analyze gas flow behavior:
m
m . co
(A)
c. o
Blast Furnace
s e m
s em g l a
(B)
g la
Sintering
a
(C)
a Roasting
(D) LD Converter
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.29 Ergun equation is NOT applied in which one of the following unit operations to
analyze gas flow behavior:
m
m . co
(A)
c. o
Blast Furnace
s e m
s em g l a
(B)
g la
Sintering
a
(C)
a Roasting
(D) LD Converter
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 31
Q.30 Choose the correct option(s).
Here ‘A’ is the Helmholtz free energy and ‘G’ is the Gibbs free energy.
(A) ‘A’ provides a criterion for equilibrium in a system with constant temperature and
constant pressure
(B) ‘G’ provides a criterion for equilibrium in a system with constant temperature and
constant pressure
(C) ‘A’ provides a criterion for equilibrium in a system with constant temperature and
constant volume
(D) ‘G’ provides a criterion for equilibrium in a system with constant temperature and
constant volume
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Here ‘A’ is the Helmholtz free energy and ‘G’ is the Gibbs free energy.
(A) ‘A’ provides a criterion for equilibrium in a system with constant temperature and
constant pressure
(B) ‘G’ provides a criterion for equilibrium in a system with constant temperature and
constant pressure
(C) ‘A’ provides a criterion for equilibrium in a system with constant temperature and
constant volume
(D) ‘G’ provides a criterion for equilibrium in a system with constant temperature and
constant volume
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Page 32
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Q.31 Which of the following elements, when present in iron, enhance(s) its corrosion
resistance?
m
om . co
. c e m
(A) H
e m l as
l as ag
(B) ag Cr
(C) S
(D) C
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Q.31 Which of the following elements, when present in iron, enhance(s) its corrosion
resistance?
m
om . co
. c e m
(A) H
e m l as
l as ag
(B) ag Cr
(C) S
(D) C
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 33
Q.32 Value of scalar triple product a . (b c ) is (answer in integer) _____________.
a 2i 3j 4k
b i 2 j 3k
c 3i 4 j k
Here, i , j and k are mutually orthogonal unit vectors.
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Q.32 Value of scalar triple product a . (b c ) is (answer in integer) _____________.
a 2i 3j 4k
b i 2 j 3k
c 3i 4 j k
Here, i , j and k are mutually orthogonal unit vectors.
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Page 34
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Q.33 A box contains 20 thermometers, 3 of which are defective. One person randomly
draws 2 thermometers from the box, one-by-one, without replacement. The
probability in percent (rounded-off to two decimal places) that none of these TWO
m
co
thermometers is defective, is ________________ %.
. c om e m .
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Q.33 A box contains 20 thermometers, 3 of which are defective. One person randomly
draws 2 thermometers from the box, one-by-one, without replacement. The
probability in percent (rounded-off to two decimal places) that none of these TWO
m
co
thermometers is defective, is ________________ %.
. c om e m .
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 35
Q.34 For an equilibrium phase diagram of a binary A-B alloy at a constant pressure as
shown in the figure, the degree of freedom at ‘X’ is (answer in integer)
_______________.
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shown in the figure, the degree of freedom at ‘X’ is (answer in integer)
_______________.
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Page 36
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Two parallel plates, with Newtonian incompressible liquid in between, are 2 mm
Q.35 apart. The upper plate is stationary and the lower plate moves with a velocity of
4 m/s. A force per unit area of 5 N/m2 is applied parallel to the lower plate to maintain
its motion. The viscosity of the liquid (rounded off to two decimal places)
m
om
is _______ 10–3 N.s/m2
. co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Two parallel plates, with Newtonian incompressible liquid in between, are 2 mm
Q.35 apart. The upper plate is stationary and the lower plate moves with a velocity of
4 m/s. A force per unit area of 5 N/m2 is applied parallel to the lower plate to maintain
its motion. The viscosity of the liquid (rounded off to two decimal places)
m
om
is _______ 10–3 N.s/m2
. co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 37
Q.36 – Q.65 Carry TWO marks Each
Q.36
Match the crystal systems in Column I with the corresponding
axial lengths (a, b, c) and interaxial angles (α, β, ) provided in Column II
Column I Column II
(P) Tetragonal (1) a ≠ b ≠ c, α = β = = 90°
(Q) Rhombohedral (2) a = b ≠ c, α = β = = 90°
(R) Orthorhombic (3) a ≠ b ≠ c, α = = 90° ≠ β
(S) Monoclinic (4) a = b = c, α = β = ≠ 90°
(A) P-3, Q-1, R-2, S-4
(B) P-2, Q-3, R-4, S-1
(C) P-4, Q-3, R-2, S-1
(D) P-2, Q-4, R-1, S-3
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Q.36
Match the crystal systems in Column I with the corresponding
axial lengths (a, b, c) and interaxial angles (α, β, ) provided in Column II
Column I Column II
(P) Tetragonal (1) a ≠ b ≠ c, α = β = = 90°
(Q) Rhombohedral (2) a = b ≠ c, α = β = = 90°
(R) Orthorhombic (3) a ≠ b ≠ c, α = = 90° ≠ β
(S) Monoclinic (4) a = b = c, α = β = ≠ 90°
(A) P-3, Q-1, R-2, S-4
(B) P-2, Q-3, R-4, S-1
(C) P-4, Q-3, R-2, S-1
(D) P-2, Q-4, R-1, S-3
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Q.37
Match the concepts listed in Column I with the associated terms listed
in Column II
m
om . co
Column I . c Column II e m
m
eParis Law l as
a s
(P)
l (Q) Schmid Factor
(1) Creep
ag
ag (2) Fatigue
(R) Larson - Miller Parameter (3) Dynamic Strain Aging
(S) Portevin - Le Chatelier Effect (4) Critical Resolved Shear Stress
m
.co
(A) P-3, Q-1, R-2, S-4
e m
(B) P-2, Q-4, R-1, S-3
l as
(C) P-2, Q-4, R-3, S-1 ag
(D) P-1, Q-3, R-2, S-4
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Q.37
Match the concepts listed in Column I with the associated terms listed
in Column II
m
om . co
Column I . c Column II e m
m
eParis Law l as
a s
(P)
l (Q) Schmid Factor
(1) Creep
ag
ag (2) Fatigue
(R) Larson - Miller Parameter (3) Dynamic Strain Aging
(S) Portevin - Le Chatelier Effect (4) Critical Resolved Shear Stress
m
.co
(A) P-3, Q-1, R-2, S-4
e m
(B) P-2, Q-4, R-1, S-3
l as
(C) P-2, Q-4, R-3, S-1 ag
(D) P-1, Q-3, R-2, S-4
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 39
Q.38
Match the type of defects in Column I with the corresponding metal
manufacturing processes listed in Column II:
Column I Column II
(P) Edge Cracking (1) Casting
(Q) Flashline Cracking (2) Forging
(R) Chevron Cracking (3) Rolling
(S) Cracked Core (4) Extrusion
(A) P-3, Q-4, R-2, S-1
(B) P-4, Q-3, R-1, S-2
(C) P-4, Q-2, R-3, S-1
(D) P-3, Q-2, R-4, S-1
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Match the type of defects in Column I with the corresponding metal
manufacturing processes listed in Column II:
Column I Column II
(P) Edge Cracking (1) Casting
(Q) Flashline Cracking (2) Forging
(R) Chevron Cracking (3) Rolling
(S) Cracked Core (4) Extrusion
(A) P-3, Q-4, R-2, S-1
(B) P-4, Q-3, R-1, S-2
(C) P-4, Q-2, R-3, S-1
(D) P-3, Q-2, R-4, S-1
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Q.39
m
om
Match the descriptions listed in Column I with the corresponding non-destructive . co
. c
testing methods listed in Column II:
e m
e m l as
l as
Column I Column II ag
g
a (P) Internal flaws in railroad wheel (1) Ultrasonic
(Q) In-service monitoring of crack (2) Radiography
(R) Inclusion in mild steel (3) Dye Penetrant
(S) Surface crack in Al-based alloy (4) Acoustic Emission
m
m .co
(A) P-1, Q-4, R-2, S-3 s e
l a
(B) P-3, Q-2, R-4, S-1 ag
(C) P-3, Q-2, R-1, S-4
(D) P-1, Q-3, R-4, S-2
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.39
m
om
Match the descriptions listed in Column I with the corresponding non-destructive . co
. c
testing methods listed in Column II:
e m
e m l as
l as
Column I Column II ag
g
a (P) Internal flaws in railroad wheel (1) Ultrasonic
(Q) In-service monitoring of crack (2) Radiography
(R) Inclusion in mild steel (3) Dye Penetrant
(S) Surface crack in Al-based alloy (4) Acoustic Emission
m
m .co
(A) P-1, Q-4, R-2, S-3 s e
l a
(B) P-3, Q-2, R-4, S-1 ag
(C) P-3, Q-2, R-1, S-4
(D) P-1, Q-3, R-4, S-2
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 41
Q.40 The equation below represents a steady-state laminar flow of a fluid through a
horizontal tube:
1 𝑑 𝑑𝑣 𝑑𝑃
𝑟 0
𝑟 𝑑𝑟 𝑑𝑟 𝑑𝑧
𝑃 is fluid pressure
is dynamic viscosity
(𝑟, 𝑧): coordinates of cylindrical polar system, and
𝑣 is axial velocity in z-direction
Which one of the following statements related to the above case is NOT correct?
(A) The fluid is Newtonian
(B) Shear stress is maximum at the center (𝑟 = 0)
(C) Radial velocity is zero
(D) There is no variation of 𝑣 in z-direction
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horizontal tube:
1 𝑑 𝑑𝑣 𝑑𝑃
𝑟 0
𝑟 𝑑𝑟 𝑑𝑟 𝑑𝑧
𝑃 is fluid pressure
is dynamic viscosity
(𝑟, 𝑧): coordinates of cylindrical polar system, and
𝑣 is axial velocity in z-direction
Which one of the following statements related to the above case is NOT correct?
(A) The fluid is Newtonian
(B) Shear stress is maximum at the center (𝑟 = 0)
(C) Radial velocity is zero
(D) There is no variation of 𝑣 in z-direction
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Page 42
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.co s e m
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a ag
Q.41
Match the unit operation in Column I with the resulting product in Column II:
m
om . co
Column I . c Column II e m
e m l as
a s
(P) COREX Process
l(Q) Bayer Process
(1) Direct Reduced Iron
ag
ag (2) Pig Iron
(R) Matte Smelting (3) Alumina
(S) MIDREX Process (4) Copper
m
.co
(A) P-4, Q-3, R-2, S-1
e m
(B) P-2, Q-3, R-4, S-1
l as
(C) P-1, Q-3, R-4, S-2 ag
(D) P-2, Q-4, R-3, S-1
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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.co s e m
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a ag
Q.41
Match the unit operation in Column I with the resulting product in Column II:
m
om . co
Column I . c Column II e m
e m l as
a s
(P) COREX Process
l(Q) Bayer Process
(1) Direct Reduced Iron
ag
ag (2) Pig Iron
(R) Matte Smelting (3) Alumina
(S) MIDREX Process (4) Copper
m
.co
(A) P-4, Q-3, R-2, S-1
e m
(B) P-2, Q-3, R-4, S-1
l as
(C) P-1, Q-3, R-4, S-2 ag
(D) P-2, Q-4, R-3, S-1
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 43
Q.42
Match the terms in Column I with the corresponding attributes in Column II:
Column I Column II
(P) Wiedemann-Franz law (1) Charge carrier concentration
(Q) Neel temperature (2) Paramagnetism
(R) Hall voltage (3) Ratio between thermal conductivity and
electrical conductivity of metals
(S) Curie law (4) Diamagnetism
(5) Anti-ferromagnetism
(A) P-4, Q-3, R-2, S-1
(B) P-2, Q-5, R-1, S-3
(C) P-3, Q-5, R-1, S-2
(D) P-3, Q-4, R-5, S-2
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Match the terms in Column I with the corresponding attributes in Column II:
Column I Column II
(P) Wiedemann-Franz law (1) Charge carrier concentration
(Q) Neel temperature (2) Paramagnetism
(R) Hall voltage (3) Ratio between thermal conductivity and
electrical conductivity of metals
(S) Curie law (4) Diamagnetism
(5) Anti-ferromagnetism
(A) P-4, Q-3, R-2, S-1
(B) P-2, Q-5, R-1, S-3
(C) P-3, Q-5, R-1, S-2
(D) P-3, Q-4, R-5, S-2
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Page 44
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.co s e m
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a ag
Q.43 Choose the correct option(s).
Permeability of a porous bed made of spherical particles is/are:
m
om . co
. c e m
(A)
em of particle size
Independent
l as
l as ag
g
(B) a Increases with increase in particle size
(C) Decreases with increase in particle size
(D) Affected by particle size distribution
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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.co s e m
s em l a
a ag
Q.43 Choose the correct option(s).
Permeability of a porous bed made of spherical particles is/are:
m
om . co
. c e m
(A)
em of particle size
Independent
l as
l as ag
g
(B) a Increases with increase in particle size
(C) Decreases with increase in particle size
(D) Affected by particle size distribution
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 45
Q.44 Consider a distribution with the following probability density function
f (x) 0.0,
0.5, 0 x 2
Otherwise
.
Given that the mean of the above probability distribution is 1, the variance
(rounded off to two decimal places) is _______________.
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f (x) 0.0,
0.5, 0 x 2
Otherwise
.
Given that the mean of the above probability distribution is 1, the variance
(rounded off to two decimal places) is _______________.
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Page 46
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Q.45 0.3
x2 dx
Taking number of intervals n = 3, the value of the integral 0 e using
Trapezoidal method, is ________________ (rounded off to two decimal places).
m
om . co
. c em
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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s em l a
a ag
Q.45 0.3
x2 dx
Taking number of intervals n = 3, the value of the integral 0 e using
Trapezoidal method, is ________________ (rounded off to two decimal places).
m
om . co
. c em
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 47
Q.46 d2y dy
Solution of the differential equation 10 x 2 2
20 x 22.4 y 0 is
dx dx
y c1 x m1 c2 x m2 where m1 m2 .
The value of m1 m2 (answer in integer) is _____________
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Solution of the differential equation 10 x 2 2
20 x 22.4 y 0 is
dx dx
y c1 x m1 c2 x m2 where m1 m2 .
The value of m1 m2 (answer in integer) is _____________
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Page 48
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Q.47 Iron powder is compacted at room temperature to 75% of its theoretical density.
The as-pressed iron compact is sintered in inert-gas atmosphere at 1200 °C to 90%
of its theoretical density. Assuming isotropic shrinkage, the linear shrinkage (in
percent) undergone by the iron compact during sintering (rounded off to one
decimal place) is ________________ %
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.47 Iron powder is compacted at room temperature to 75% of its theoretical density.
The as-pressed iron compact is sintered in inert-gas atmosphere at 1200 °C to 90%
of its theoretical density. Assuming isotropic shrinkage, the linear shrinkage (in
percent) undergone by the iron compact during sintering (rounded off to one
decimal place) is ________________ %
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 49
Q.48 An alloy having composition W-20 wt.% Ni is prepared by mixing elemental
powders. The resulting powder mixture is liquid phase sintered at 1550 °C for 1
hour. The liquid phase sintered microstructure consists of interconnected,
spherical tungsten grains dispersed in nickel. The tungsten grain size is 70 µm and
the W-W interparticle neck diameter is 35 µm. If W-Ni interfacial energy is 0.30
J/m2, the W-W interfacial energy (in J/m2), rounded off to two decimal places is
___________________
(Given: melting point of W: 3410 °C and melting point of Ni: 1455 °C)
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powders. The resulting powder mixture is liquid phase sintered at 1550 °C for 1
hour. The liquid phase sintered microstructure consists of interconnected,
spherical tungsten grains dispersed in nickel. The tungsten grain size is 70 µm and
the W-W interparticle neck diameter is 35 µm. If W-Ni interfacial energy is 0.30
J/m2, the W-W interfacial energy (in J/m2), rounded off to two decimal places is
___________________
(Given: melting point of W: 3410 °C and melting point of Ni: 1455 °C)
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Page 50
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Q.49 A metal having body-centered cubic structure is analyzed through X-ray
diffraction using monochromatic X-ray of wavelength 0.154 nm. The diffraction
angle (2) corresponding to {2 0 0} plane is 60° (for first order reflection).
The atomic radius of this element (rounded off to three decimal places) is
_______________nm.
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.49 A metal having body-centered cubic structure is analyzed through X-ray
diffraction using monochromatic X-ray of wavelength 0.154 nm. The diffraction
angle (2) corresponding to {2 0 0} plane is 60° (for first order reflection).
The atomic radius of this element (rounded off to three decimal places) is
_______________nm.
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 51
Q.50 A cylindrical single crystal of copper having 10 mm diameter is deformed under a
uniaxial tensile load of 2200 N. The angle between the normal to the slip plane
and the tensile loading axis is , whereas, the angle between slip direction and the
tensile axis is . The slip direction is in the plane defined by the stress axis and the
normal to the slip plane.
If = , the critical resolved shear stress (CRSS), rounded off to one decimal
place, is ________ MPa.
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uniaxial tensile load of 2200 N. The angle between the normal to the slip plane
and the tensile loading axis is , whereas, the angle between slip direction and the
tensile axis is . The slip direction is in the plane defined by the stress axis and the
normal to the slip plane.
If = , the critical resolved shear stress (CRSS), rounded off to one decimal
place, is ________ MPa.
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Page 52
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Q.51 For plane strain fracture toughness (KIc) testing of Maraging steel, the minimum
thickness to achieve valid KIc is (answer in integer) ______________ mm.
(Given: KIc = 90 MPam and yield stress = 900 MPa)
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
Q.51 For plane strain fracture toughness (KIc) testing of Maraging steel, the minimum
thickness to achieve valid KIc is (answer in integer) ______________ mm.
(Given: KIc = 90 MPam and yield stress = 900 MPa)
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 53
Q.52 The lattice parameter of Ni (face-centered cubic) is 0.35 nm and its shear modulus
is 76 GPa. The strain energy per unit length of a screw dislocation in Ni crystal
(rounded off to two decimal places) is _________ 10-9 J/m.
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is 76 GPa. The strain energy per unit length of a screw dislocation in Ni crystal
(rounded off to two decimal places) is _________ 10-9 J/m.
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Page 54
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Q.53 20 g of gold (Au) and 20 g of silver (Ag) are mixed to form a single-phase solid
solution (assume ideal mixing). The atomic weight of Au is 197 g/mol and the
atomic weight of Ag is 108 g/mol. The value of universal gas constant R is
8.314 J/mol-K. The total entropy of mixing (rounded off to two decimal places) is
___________ J/K.
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Q.53 20 g of gold (Au) and 20 g of silver (Ag) are mixed to form a single-phase solid
solution (assume ideal mixing). The atomic weight of Au is 197 g/mol and the
atomic weight of Ag is 108 g/mol. The value of universal gas constant R is
8.314 J/mol-K. The total entropy of mixing (rounded off to two decimal places) is
___________ J/K.
m
om . co
. c e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 55
Q.54 2 moles of an ideal gas is reversibly expanded from 10 liter to 20 liter at
isothermal condition. The value of universal gas constant R is 8.314 J/mol-K. If
the temperature of the gas is 27 °C, the magnitude of work done in the process
(rounded off to two decimal places) is ______________ Joules.
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isothermal condition. The value of universal gas constant R is 8.314 J/mol-K. If
the temperature of the gas is 27 °C, the magnitude of work done in the process
(rounded off to two decimal places) is ______________ Joules.
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Page 56
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Q.55 Specific heat capacity at constant pressure (𝐶 ) of a solid metal is given by the
following expression:
𝐶 𝑖𝑛 J/mol-K 20 5 10 𝑇 (for T= 298 K to 1000 K)
m
At constant pressure, if the temperature (T in K) of 2 moles of metal is increased
om
from 300 K to 600 K, the change in enthalpy of the metal (answer in integer) is . co
. c
___________ Joules.
e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Q.55 Specific heat capacity at constant pressure (𝐶 ) of a solid metal is given by the
following expression:
𝐶 𝑖𝑛 J/mol-K 20 5 10 𝑇 (for T= 298 K to 1000 K)
m
At constant pressure, if the temperature (T in K) of 2 moles of metal is increased
om
from 300 K to 600 K, the change in enthalpy of the metal (answer in integer) is . co
. c
___________ Joules.
e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 57
Q.56 With reference to the Ellingham diagram, the standard Gibbs free energy change
for the oxidation of solid metal M (s) and liquid metal M (l) is given below:
Reaction I:
M (s) + O2 (g) MO2 (s)
Go = (– 338900 – 15.2T lnT + 247T) Joules;
from T = 300 K to melting point.
Reaction II:
M (l) + O2 (g) MO2 (s)
Go = (– 390800 – 15.2T lnT + 285.3T) Joules;
from melting point to T = 1800 K
The melting point of the metal M (rounded off to one decimal place)
is _______________ Kelvin.
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for the oxidation of solid metal M (s) and liquid metal M (l) is given below:
Reaction I:
M (s) + O2 (g) MO2 (s)
Go = (– 338900 – 15.2T lnT + 247T) Joules;
from T = 300 K to melting point.
Reaction II:
M (l) + O2 (g) MO2 (s)
Go = (– 390800 – 15.2T lnT + 285.3T) Joules;
from melting point to T = 1800 K
The melting point of the metal M (rounded off to one decimal place)
is _______________ Kelvin.
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Page 58
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A given volume of liquid is undercooled just below the melting temperature to
Q.57 form a spherical solid nucleus (consider homogeneous nucleation). The Gibbs free
energy of solidification (Gv ) is (– 0.5 108) J/m3. The solid-liquid interfacial
energy () is isotropic and its value is 0.1 J/m2.
m
om
The critical nucleus size for a stable nucleus is __________ nm . co
. c
(answer in integer).
e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
A given volume of liquid is undercooled just below the melting temperature to
Q.57 form a spherical solid nucleus (consider homogeneous nucleation). The Gibbs free
energy of solidification (Gv ) is (– 0.5 108) J/m3. The solid-liquid interfacial
energy () is isotropic and its value is 0.1 J/m2.
m
om
The critical nucleus size for a stable nucleus is __________ nm . co
. c
(answer in integer).
e m
e m l as
l as ag
ag
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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Page 59
Q.58 A 50 mm flat aluminium plate is reduced in thickness to 25 mm in a single pass
cold-rolling operation with the rolling diameter of 1250 mm. For this case, the
minimum required coefficient of friction between the plate and the roll (rounded
off to two decimal places) is ___________.
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cold-rolling operation with the rolling diameter of 1250 mm. For this case, the
minimum required coefficient of friction between the plate and the roll (rounded
off to two decimal places) is ___________.
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Page 60
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a ag
A cylindrical furnace has 0.1 m inner diameter and 0.2 m height. Walls A1 (inner
Q.59 section of cylindrical surface area) and A2 (inner section of bottom surface area) are
maintained at 1873 K. The sides and bottom are assumed to be black bodies, well
insulated and heated electrically. The top area (A3) is open to atmosphere
m
co
maintained at 300 K, resulting in loss of heat ‘q’.
Given:
. c om e m .
m
View factors F13 = 0.1175 and F23 = 0.06, where Fij is the fraction of radiation leaving
e l as
a s
surface ‘i’ that is intercepted by surface ‘j’.
lStefan-Boltzmann constant = 5.67 10 W/m -K . ag
ag -8 2 4
The power needed to maintain the furnace at 1873 K, is (approximate to the nearest
integer) __________________W.
`
m
m .co
s e
l a
ag
m
m .co
m .co s e m
s e g la
g la a
a
m . c
c. o s e m
em a
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a ag
A cylindrical furnace has 0.1 m inner diameter and 0.2 m height. Walls A1 (inner
Q.59 section of cylindrical surface area) and A2 (inner section of bottom surface area) are
maintained at 1873 K. The sides and bottom are assumed to be black bodies, well
insulated and heated electrically. The top area (A3) is open to atmosphere
m
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maintained at 300 K, resulting in loss of heat ‘q’.
Given:
. c om e m .
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View factors F13 = 0.1175 and F23 = 0.06, where Fij is the fraction of radiation leaving
e l as
a s
surface ‘i’ that is intercepted by surface ‘j’.
lStefan-Boltzmann constant = 5.67 10 W/m -K . ag
ag -8 2 4
The power needed to maintain the furnace at 1873 K, is (approximate to the nearest
integer) __________________W.
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s e g la
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Document Details
| Board / Org | IIT |
| Exam | Graduate Aptitude Test in Engineering |
| Type | Question Paper |
| Pages | 66 |
| Language | english |
| Updated | 24 Sep 2026 |