The figure below shows a schematic of a water droplet placed on the surfaces of two mineral P and Q. <img src="/images/question-image/metallurgical-engineering/mineral-dressing-in-metallurgy/1684343610-M2-B-2-20.PNG" title="Mineral Dressing in Metallurgy mcq question image" alt="Mineral Dressing in Metallurgy mcq question image"> Given this information, pick the correct statement from the following:

The figure below shows the cumulative size distribution of particles of a crushed mineral. 10 kg of this material is first passed through a sieve of size 400 micron and then through a sieve of size 300 micron. The weight of mineral (in kg ) that is retained on the 300 micron sieve is . . . . . . . .

A

1

B

1.8

C

3

D

5.6

The figure below shows water flowing through a pipe. The pressure difference between points P and Q measured using a water-over-mercury manometer is

A

ρ2gH

B

ρ1gH

C

(ρ2 - ρ1) gH

D

(ρ2 - ρ1) gH

A schematic of X-ray diffraction pattern of a single phase cubic polycrystal is given below. The miller idices of Peak A is

A

210

B

220

C

222

D

310

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

A

P

B

Q

C

R

D

S

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

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 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.

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.

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

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.

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

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

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

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 . . . . . . . .

A

0.05

B

0.10

C

0.50

D

0.85