GATE MT branch:mt PYQs & Answers — Page 56

Questions 551–560 of 650. Imported answers require independent review unless marked reviewed.

What is the requirement for equilibrium at a triple junction as shown in the schematic, with

and

as grain boundary tensions and

and

as dihedral angles?

Diagram for Metallurgical Engineering question 21

Your answerChoose one option.

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In the A-rich end of the A-B binary eutectic phase diagram (shown below), the solid and liquidus are straight lines.

Diagram for Metallurgical Engineering question 22

The freezing range of the alloy with 16% B is ________ (in °C to one decimal place)

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A vector field is given as follows:

The divergence of this field evaluated at

is ______________ .

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A plate of thickness h = 120 mm is cold rolled in a mill with a roll diameter of 200 mm. If the coefficient of friction

is 0.1, the maximum possible reduction

in a single pass is ______ (in mm to one decimal place)

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A copper-aluminium diffusion couple develops a certain concentration profile after an isothermal treatment at 600°C for 10 hours. The time required to achieve the same concentration profile at 500°C is ________ (in hours to 1 decimal place)

Given: The interdiffusion coefficient for copper in aluminium at 500°C and 600°C are

and

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The molar free energy (J mol

) of a liquid solution of a binary A-B alloy as a function of temperature (

) and composition (

, the mole fraction of B) is given by:

where

and

are the molar free energies of pure liquid A and pure liquid B. What is the excess molar free energy,

, for an alloy with

Given: Gas constant R = 8.314 J K

mol

Your answerChoose one option.

100 J mol

−200 J mol

463 J mol

−563 J mol

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Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]

Assertion [A]: For a material exibiting Coble creep, a reduction in grain size results in a significant increase in creep rate Reason [R]: Grain boundaries act as a barrier to motion of dislocations

Your answerChoose one option.

Both [A] and [R] are true and [R] is the correct reason for [A]

Both [A] and [R] are true, but [R] is not the correct reason for [A]

Both [A] and [R] are false

[A] is true but [R] is false

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Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]

Assertion [A]: Refractory BCC metals like W and Mo are less ductile than FCC metals like Ni and Pt at room temperature Reason [R]: BCC metals have fewer independent slip systems than FCC metals

Your answerChoose one option.

Both [A] and [R] are true and [R] is the correct reason for [A]

Both [A] and [R] are true, but [R] is not the correct reason for [A]

Both [A] and [R] are false

[A] is true but [R] is false

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A glass fibre of 5 micron diameter is subjected to a tensile stress of 20 MPa. The surface energy and elastic modulus of this material are 0.3 Jm

and 70 GPa, respectively. Pick the correct answer based on the information provided above:

Note: The glass fibre contains a population of flaws of different lengths.

Your answerChoose one option.

The fibre will undergo brittle fracture

The fibre will undergo plastic deformation, but not fracture

The fibre will undergo elastic deformation, but not fracture

The fibre will undergo buckling

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Two equal and opposite point charges + Q and − Q are located as shown in the figure above. A surface integral,

is defined on surface

of a sphere of radius

as follows:

where

is the electric field, and

is the unit normal to the surface of integration. If

are in the ratio 1:2:5, use the Gauss divergence theorem to determine the ratio

Diagram for Metallurgical Engineering question 30

Your answerChoose one option.

1 : 2 : 5

5 : 2 : 1

1 : −1 : 0

1 : 1 : 0

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GATE MT branch:mt PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30