Metallurgical Engineering Gate Yearwise 



Metallurgical Engineering Gate 2022 Questions with Answer

Ques 53 GATE 2022

An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.
If the security guard does not move around the posted location and has a 360o view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

A

P and Q

B

Q

C

Q and S

D

R and S


(c) is the correct answer.

Ques 54 GATE 2022

Consider the following inequalities.
(i) 2x-1>7
(ii) 2x-9<1
Which one of the following expressions below satisfies the above two inequalities?

A

x ≤ -4

B

-4 < x ≤ 4

C

4 < x < 5

D

x ≥ 5


(c) is the correct answer.

Ques 55 GATE 2022

Four points P(0,1), Q(0,-3), R(-2,-1), and S(2,-1) represent the vertices of a quadrilateral.
What is the area enclosed by the quadrilateral?

A

4

B

4√2

C

8

D

8√2


(c) is the correct answer.

Ques 56 GATE 2022

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following operations:
X: rotation of the square by 180 degree with respect to the S-Q axis.
Y: rotation of the square by 180 degree with respect to the P-R axis.
Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T. Consider the following three distinct sequences of operation (which are applied in the left to right order).
(1) XYZZ
(2) XY
(3) ZZZZ
Which one of the following statements is correct as per the information provided above?

A

The sequence of operations (1) and (2) are equivalent.

B

The sequence of operations (1) and (3) are equivalent.

C

The sequence of operations (2) and (3) are equivalent.

D

The sequence of operations (1), (2) and (3) are equivalent.


(b) is the correct answer.

Ques 57 GATE 2022

According to Sieverts law, the equilibrium solubility of N2(gas) in molten steel is proportional to _______.
Given: Equilibrium partial pressure of N2(gas) is pN2.

A

pN2

B

√pN2

C

1/pN2

D

pN22


(b) is the correct answer.

Ques 58 GATE 2022

A spherical gas bubble of radius 0.01 mm is entrapped in molten steel held at 1773 K. If the pressure outside the bubble is 1.5 bar, the pressure inside the bubble is _______ bar (round off to 1 decimal place). Given: 1 bar =105 Pa and the surface tension of the steel at 1773 K is 1.4 N⋅m-1.


(4.3) is the correct answer.

Ques 59 GATE 2022

What is the equilibrium pCO/pCO2 ratio for the given reaction at 1873 K? (round off to 2 decimal places)
Mo(s)+O2(g)↔MoO2(s)
Given: ΔfGo1873=-262300 J aMoO2(s)=0.5 and ΔrGo1873=-120860 J for the reaction CO(g)+0.5O2(g)↔CO2(g); R=8.314 J⋅K-1⋅mol-1.


(2.76) is the correct answer.

Ques 60 GATE 2022

The emf of the cell
Au-Pb(liquid)|PbCl2-KCl(liquid)|Cl2(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 PbCl2 in the electrolyte is 0.18. The standard Gibbs energy of formation of PbCl2(liquid) at 873 K is _______ kJ mol-1 (round off to 1 decimal place). Given: R=8.314 J⋅K-1⋅mol-1 and F=96500 C⋅mol-1


(-232.5) is the correct answer.

Ques 61 GATE 2022

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).
Given: R=8.314 J⋅K-1⋅mol-1


(0.125) is the correct answer.

Ques 62 GATE 2022

Assuming that Dulong-Petit law is valid for a monoatomic solid, the ratio of heat capacities Cp/Cv at 500 K is _______ (round off to 3 decimals).
Given: molar volume =7x10-6 m3⋅mol-1,
isothermal compressibility =8x10-12 Pa-1,
isobaric expansivity =6x10-5 K-1 and
R=8.314 J⋅K-1⋅mol-1.


(1.071) is the correct answer.

Ques 63 GATE 2022

In fluid flow, the dimensionless number that describes the transition from laminar to turbulent flow is _______.

A

Reynolds number

B

Schmidt number

C

Biot number

D

Prandtl number


(a) is the correct answer.

Ques 64 GATE 2022

A Newtonian incompressible liquid is contained between two parallel metal plates separated by 10-3 m (see figure). A stress of 5 Pa is required to maintain the upper plate in motion with a constant speed of 2 m⋅s-1 in the horizontal direction relative to the bottom plate. The viscosity of liquid contained between the plates is _______ x10-3 Pa-s (answer rounded off to 1 decimal place).


(2.5) is the correct answer.

Ques 65 GATE 2022

A non-rotating smooth solid spherical object is fixed in the stream of an inviscid incompressible fluid of density p (see figure). The flow is horizontal, slow, steady, and fully developed far from the object as shown by the streamline arrows near point O. Which of the following statement(s) is (are) TRUE?
(Note: B is the center of the sphere and the straight horizontal line OAB intersects the surface of the sphere at the point A.)

A

The velocity of the fluid at the point A is zero

B

The fluid pressure at the point A exceeds that at point O by the amount ρv2/2 where v is the fluid velocity at point O

C

Fluid moving precisely along OA will turn perpendicular to OA to circumvent the object

D

On each side of the central streamline OA, the flow will be deflected round the object


(a,b,d) is the correct answer.

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