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Metallurgical Engineering - MT 2013 GATE Paper (Practice Test)


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65 Questions MCQ Test GATE Past Year Papers for Practice (All Branches) | Metallurgical Engineering - MT 2013 GATE Paper (Practice Test)

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Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 1

Q. 1 – Q. 5 carry one mark each.

A number is as much greater than 75 as it is smaller than 117. The number is:

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 2

Which of the above underlined parts of the sentence is grammatically incorrect? 

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 3

Which of the following options is the closest in meaning to the word given below:

Primeval

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 4

Friendship, no matter how _________it is, has its limitations. 

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 5

Select the pair that best expresses a relationship similar to that expressed in the pair: 
Medicine: Health

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 6

Q. 6 to Q. 10 carry two marks each.

X and Y are two positive real numbers such that 2X + Y  6 and X + 2Y  8. For which of the following values of (X,Y),  the function f(X,Y)=  3X + 6Y will give maximum value? 

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 7

If |4X - 7| = 5 then the values of 2|X| - |-X| is: 

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 8

Following table provides figures (in rupees) on annual expenditure of a firm for two years - 2010 and 2011.

In 2011, which of the following two categories have registered increase by same percentage?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 9

A firm is selling its product at Rs. 60 per unit. The total cost of production is Rs. 100 and firm is earning total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage the price should be increased to maintained the same profit level.  

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 10

Abhishek is elder to Savar.
Savar is younger to Anshul.

Which of the given conclusions is logically valid and is inferred from the above statements? 

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 11

USEFUL DATA
Universal gas constant, R: 8.314 J/mol/K
Acceleration due to gravity, g: 9.81 m/s2
Faraday constant, F: 96500 C/mol
Bohr magneton, μB: 9.273 x 10-24 Am2

Q. 11 – Q. 35 carry one mark each.

Degree and order of the differential equation  respectively, are

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 12

As the concentration of point defects in a crystal increases, its configurational entropy

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 13

In a binary system A-B, εAA, εBB and εAB correspond to A-A, B-B and A-B bond energies respectively. The miscibility gap will occur if

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 14

Critical value of the Gibbs energy of nucleation at equilibrium temperature is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 15

With respect to the matrix of Al-Cu alloys, G-P zones are

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 16

Which one of the following techniques does NOT require quenching to obtain final case hardness?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 17

Which one of the following elements is an austenite stabilizer?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 18

A 0.2 wt.% plain carbon steel sheet is heated and equilibrated in the inter-critical region followed by instant water quenching. The microstructure of the quenched steel sheet consists of

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 19

As compared to the engineering stress-engineering strain curve, the true stress-true strain curve for a given material

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 20

Which one of the following does NOT improve fatigue life of a steel component?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 21

When two phases α and β in an alloy are in thermodynamic equilibrium, then

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 22

Isothermal compressibility of a material is given by

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 23

In the Ellingham diagram for oxides, C-CO line cuts the M-MO line at temperature T1 and the M′-M′O line at a higher temperature T2. At a temperature greater than T1 and less than T2, carbon can reduce

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 24

Which one of the following can give information about the corrosion rate?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 25

In a roasting process, the set of conditions that favour sulphate formation from metal sulphide concentrates are

P. high temperature
Q. high partial pressure of oxygen
R. use of excess air
S. high partial pressure of SO3

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 26

High top pressure in a blast furnace operation

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 27

In L-D steelmaking, the final slag can be best described as

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 28

The permeability of burden in an ironmaking blast furnace can be improved by using

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 29

For a good quality brazing, the molten filler alloy should have

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 30

Risers are NOT required for casting

*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 31

For scalar fields   the value of  ______


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 32

The atomic packing fraction of diamond cubic structure is __________


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 33

The total number of possible heat transfer mode(s) is __________


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 34

If σ and ε are true stress and true strain, respectively, the maximum true uniform strain that can be
imparted to a material obeying σ = 1050ε0.25 is _________


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 35

Arc welding is done using current, voltage and welding speed of 200 A, 20 V and 0.01 m/s, respectively. The heat input in kJ per unit length is _________


Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 36

Q. 36 to Q. 65 carry two marks each.

Which one of the following series is divergent?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 37

Taylor series expansion of the function f(x)= x/1+x around x = 0 will be

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 38

Which one of the following attributes is NOT correct for the matrix?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 39

A unit cell of an element has maximum linear density along the [110] direction. The packing density of its (100) plane is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 40

For an FCC metal, the ratio of interplanar spacing obtained from the first two peaks of the X-ray diffraction pattern is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 41

There are 150 gearwheels in a box, out of which 112 are within the required tolerance, 21 are below and rest are above the required tolerance. If the selection is done without replacement, the combined probability of randomly selecting a gearwheel below the tolerance and then a second one above the tolerance is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 42

Match the metal in Group I with its corresponding ore in Group II

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 43

The yield strength of a polycrystalline metal increases from 100 MPa to 145 MPa on decreasing the grain size from 64 μm to 25 μm. The yield strength of this metal (in MPa) having a grain size of 36 μm is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 44

In a brittle material, the maximum internal crack length is 8 μm. If Young’s modulus is 400 GPa and surface energy is 3.14 J/m2, the estimated theoretical fracture strength (in MPa) is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 45

Saturation magnetization of an FCC metal with lattice parameter 0.2 nm is 600 kA/m. The net magnetic moment per atom is given by (in Bohr magneton)

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 46

A 480 mm thick slab is hot-rolled using a roll of 720 mm diameter. For a coefficient of friction of 0.5, the maximum possible reduction (in mm) is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 47

Match the defects listed in Group I with the corresponding manufacturing process listed in Group II

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 48

Match the powder production technique given in Group I with the corresponding shape listed in Group II

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 49

Match the suitability of non-destructive testing method in Group I for the detection of defects listed in Group II

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 50

For the following electrochemical reaction Sn + 2H+ = Sn2+ + H2, if the solution has Sn2concentration 10-2 M and pH 5 at 298 K, which of the following is true? Given: standard reduction potential for   versus SHE; pH2 = 1 atm

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 51

Match the unit operation in Group I with its corresponding principle in Group II:

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 52

Determine the correctness or otherwise of the following Assertion (a) and Reason (r).
Assertion: For the extraction of metal values from their sulphide concentrates by hydrometallurgical route, leaching with oxygen under high pressure is used.
Reason: Presence of oxygen under high pressure causes roasting of sulphides, which helps in leaching of the values.

*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 53

The aperture size (in μm) of a 200 mesh sieve having a wire diameter of 53 μm is __________


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 54

From a 2 m × 1.2 m sheet, squares are cut out from each of the four corners as shown in the figure and then the sides are bent to form an open box. The maximum possible volume (in m3) of the box is __________


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 55

Applying the secant method, the first approximation to the root of f(x)=  1 + ln x+ x/2, starting with function values at x = 0.3 and x = 0.4, is_______


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 56

The critical internal crack length (in mm) in a steel having KIc of 45 MPa to support a Mode-I stress of 400 MPa is __________


*Answer can only contain numeric values
Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 57

Ladle deoxidation of liquid steel is done at 1600°C by adding ferro-aluminium. By assuming Stokes law behaviour, time (in s) required for alumina particles of 50 μm diameter to float to the surface from a depth of 2 m would be__________

[Given: density of steel = 7000 kg/m3, density of alumina = 3650 kg/m3, viscosity of steel = 6*10-3 kg/m/s]


Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 58

Common Data Questions

Common Data for Questions 58 and 59:

A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen.

Given:
For carbon diffusion in austenite: D0=2.0×10-5 m2/s
Activation energy for diffusion, Q=142 kJ/mol

What is the depth (in μm) from the surface of the specimen at which a composition of 0.4 wt.% C is obtained after carburizing at 870°C for 10 h?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 59

A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen.

Given:
For carbon diffusion in austenite: D0=2.0×10-5 m2/s
Activation energy for diffusion, Q=142 kJ/mol

How long (in h) will it take to double the depth at which 0.4 wt.% C is reached?

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 60

Common Data for Questions 60 and 61:

Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by

The corresponding partial molar enthalpy of mixing (in J/mol) for Cu is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 61

Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by

Assuming regular solution behaviour, the solution parameter (in J/mol) is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 62

Linked Answer Questions

Statement for Linked Answer Questions 62 and 63:

The density and associated crystallinity for two polypropylene samples are as follows:

Density of totally amorphous polypropylene is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 63

The density and associated crystallinity for two polypropylene samples are as follows:

The percent crystallinity of polypropylene sample having a density of 1.3 g/cm3 is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 64

Statement for Linked Answer Questions 64 and 65:

An edge dislocation is present in α-Fe. Atomic diameter of iron atom is 0.25 nm and its shear modulus is 70 GPa.

Modulus of the Burgers vector (in nm) is

Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - Question 65

An edge dislocation is present in α-Fe. Atomic diameter of iron atom is 0.25 nm and its shear modulus is 70 GPa.

Energy (in J/m) of the dislocation is

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