A square of 9 mm<sup>2</sup> area is subjected to simple shear displacement √3 mm along x-direction, as shown below: The strain imparted will be<br><img src="/images/question-image/metallurgical-engineering/miscellaneous-in-metallurgy/1684344946-M2-B-19-43.PNG" title="Miscellaneous in Metallurgy mcq question image" alt="Miscellaneous in Metallurgy mcq question image">

Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm

A

Quantity 2 > Quantity 3 > Quantity 1

B

Quantity 1 > Quantity 2 > Quantity 3

C

Quantity 3 > Quantity 1 > Quantity 2

D

Quantity 1 = Quantity 2 < Quantity 3

E

Quantity 1 > Quantity 2 = Quantity 3

Engineering stress-strain curve for a metal under two conditions. A and B, are shown is the following figures. Identify the correct statement.
Miscellaneous in Metallurgy mcq question image

Miscellaneous in Metallurgy mcq question image

A

The resilience of the material is the same in conditions A and B

B

The resilience of the material is higher in condition B than in condition A

C

The toughness of the material is higher in condition A than in condition B

D

The toughness of the material is higher in condition B than in conditon A

An elliptical dislocation loop is gliding on plane ABCD of a single crystal of BCC material as shown in the following figure. It is gliding along the burger vector 'b'. Identify the correct statement.
Physics of Metals in Metallurgy mcq question image

Physics of Metals in Metallurgy mcq question image

P. Plane ABCD belongs to the family of (110).
Q. Burger vector 'b' belong to direction.
R. Dislocation has the edge character at point x and the screw character at point z.
S. Dislocation has the screw character at point x

A

P, Q

B

Q, R

C

P, R

D

P, S

Match the heat treatment for an eutectoid steel shown in the TTT diagram below (as P, Q, R and S) with the resulting microstructure listed below:
1. Fine pearlite
2. martensite
3. Bainite
4. Coarse pearlite
Physical Metallurgy mcq question image

A

P-1, Q-2, R-4, S-3

B

P-4, Q-1, R-3, S-2

C

P-2, Q-1, R-3, S-4

D

P-1, Q-4, R-3. S-2

Thin layer of material B (of total amount m) is plated on the end faces of two long rods of material A. These are then joined together on the plated side (see the figure below) and heated to a high temperature. Assuming the diffusion coefficient of B in A is D, the composition profile CB along the rod axis x after a time t is described by
Introduction to Metallurgy mcq question image

Introduction to Metallurgy mcq question image

A

$${C_B} = \frac{m}{{2\sqrt {\pi Dt} }}\exp \left$$

B

$${C_B} = \frac{m}{{2\sqrt {\pi Dt} }}erf\left$$

C

$${C_B} = \frac{m}{{2\sqrt {\pi Dt} }}\left$$

D

$${C_B} = \frac{m}{{2\sqrt {\pi Dt} }}t$$

An alloy of overall composition, X_B = 0.7 was equilibrated at temperature T₁. Microstructural analysis showed two phases, (α and β, and that the phase fraction of β was 0.75. Given that the equilibrium composition of β at Ti is 0.9 as shown in the phase diagram below, the maximum solubility of B in α (in mole fraction) at this temperature is . . . . . . . .
Physical Metallurgy mcq question image

A

0.05

B

0.10

C

0.50

D

0.85

The diffusion couple shown below is made from two A-B alloys. The initial compositions of the two alloys are indicated in the diagram. The centreline is at x = 0. The couple is held at an elevated temperature for 40 hours. Diffusivity; D = 3 × 10^-11 m^-2 s^-1. Assume the diffusion couple to be infinitely long.
Physical Metallurgy mcq question image

Which of the parameters give the composition profile in the following form?
$$C\left( {x,t} \right) + {c_1} + {c_2}\,erf\left( {\frac{1}{{2\sqrt {Dt} }}} \right)$$

A

c₁ = 0.45, c₂ = 0.05

B

c₁ = 0.5, c₂ = 0.4

C

c₁ = -0.05, c₂ = 0.45

D

c₁ = 0.1, c₂ = 0.9

A furnace wall consists of four layers of different materials, M₁, M₂, M₃ and M₄. If the layers are of equal thickness and the steady state temperature profiles is as shown below, then the material with the lowest thermal conductivity is
Miscellaneous in Metallurgy mcq question image

A

M₁

B

M₂

C

M₃

D

M₄

From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.

A

P, Q

B

Q, R

C

Q, S

D

R, S

A simplified energy band-diagram of an intrinsic semiconductor at thermal equilibrium (300 K) is shown. In the accompanying table, which one of the four cloumns correctly represents the listed parameters? Assume same effective mass for electrons and holes.
Physics of Metals in Metallurgy mcq question image

A

Parameter	Energy-difference
Parameter	Column 1	Column 2	Column 3	Column 4
Band-gap	ΔE₂	ΔE₁	ΔE₂	ΔE₁
Electron affinity	$$\frac{{\Delta {E_1}}}{2}$$	ΔE₂ - ΔE₁	$$\frac{{\Delta {E_2}}}{2}$$	ΔE₂ - $$\left( {\frac{{\Delta {E_1}}}{2}} \right)$$
Work function	ΔE₁ + ΔE₂	ΔE₂ - $$\left( {\frac{{\Delta {E_1}}}{2}} \right)$$	ΔE₁ - $$\frac{{\Delta {E_2}}}{2}$$	ΔE₂ + $$\left( {\frac{{\Delta {E_1}}}{2}} \right)$$

Column 1

B

Column 2

C

Column 3

D

Column 4

A square of 9 mm² area is subjected to simple shear displacement √3 mm along x-direction, as shown below: The strain imparted will be

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A square of 9 mm2 area is subjected to simple shear displacement √3 mm along x-direction, as shown below: The strain imparted will be

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A square of 9 mm² area is subjected to simple shear displacement √3 mm along x-direction, as shown below: The strain imparted will be