Which of the following Mohr's circles of a plane-stress condition corresponds to equibiaxial tension

Which of the following cooling curves (shown in schematic) in an eutectoid steel will produce 50% bainitic structure?
Physical Metallurgy mcq question image

A

P

B

Q

C

R

D

S

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

The figure below shows a schematic of a water droplet placed on the surfaces of two mineral P and Q.
Mineral Dressing in Metallurgy mcq question image

Mineral Dressing in Metallurgy mcq question image

Given this information, pick the correct statement from the following:

A

Mineral P ascends with air bubbles preferentially over mineral Q

B

Mineral Q ascends with air bubbles preferentially over mineral P

C

Both minerals P and Q ascend with the air bubbles without preference

D

Both minerals P and Q sink to the bottom

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

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

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 schematic of X-ray diffraction pattern of a single phase cubic polycrystal is given below. The miller idices of Peak A is
Physics of Metals in Metallurgy mcq question image

A

210

B

220

C

222

D

310

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

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

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

In the hypothetical phase diagram, the melting point of each pure component is. 1000 K and the eutectic temperature is 800 K. The eutectic is located at the equi-atomic composition. The maximum solid solubility in α-phase is given by the mole fraction, Ne = 0.1.
The freezing range (in K) of the alloy with composition, Ne = 0.1 is
Physical Metallurgy mcq question image

A

100

B

130

C

160

D

190

Which of the following Mohr's circles of a plane-stress condition corresponds to equibiaxial tension

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