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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.<br><img src="/images/question-image/metallurgical-engineering/physics-of-metals-in-metallurgy/1684344178-M2-B-16-25.PNG" title="Physics of Metals in Metallurgy mcq question image" alt="Physics of Metals in Metallurgy mcq question image"><br>P. Plane ABCD belongs to the family of (110).<br>Q. Burger vector 'b' belong to direction.<br>R. Dislocation has the edge character at point x and the screw character at point z.<br>S. Dislocation has the screw character at point x
A
P, Q
B
Q, R
C
P, R
D
P, S
Correct Answer:
P, 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.
A
<table class="table-style-1"> <tr> <td rowspan="2">Parameter</td> <td colspan="4">Energy-difference</td> </tr> <tr> <td><strong>Column 1</strong></td> <td><strong>Column 2</strong></td> <td><strong>Column 3</strong></td> <td><strong>Column 4</strong></td> </tr> <tr> <td>Band-gap</td> <td>ΔE<sub>2</sub></td> <td>ΔE<sub>1</sub></td> <td>ΔE<sub>2</sub></td> <td>ΔE<sub>1</sub></td> </tr> <tr> <td>Electron affinity</td> <td>$$\frac{{\Delta {E_1}}}{2}$$</td> <td>ΔE<sub>2</sub> - ΔE<sub>1</sub></td> <td>$$\frac{{\Delta {E_2}}}{2}$$</td> <td>ΔE<sub>2</sub> - $$\left( {\frac{{\Delta {E_1}}}{2}} \right)$$</td> </tr> <tr> <td>Work function</td> <td>ΔE<sub>1</sub> + ΔE<sub>2</sub></td> <td>ΔE<sub>2</sub> - $$\left( {\frac{{\Delta {E_1}}}{2}} \right)$$</td> <td>ΔE<sub>1</sub> - $$\frac{{\Delta {E_2}}}{2}$$</td> <td>ΔE<sub>2</sub> + $$\left( {\frac{{\Delta {E_1}}}{2}} \right)$$</td> </tr></table> 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
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
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
$${C_B} = \frac{m}{{2\sqrt {\pi Dt} }}t$$
A furnace wall is made of three materials (I, II and III) of equal thickness and having thermal conductivity k
1
k
2
and k
3
respectively. The steady state temperature profile inside each material is shown in the figure. Thermal conductivities of the materials will vary as
A
k<sub>1</sub> > k<sub>2</sub> > k<sub>3</sub>
B
k<sub>2</sub> > k<sub>1</sub> > k<sub>3</sub>
C
k<sub>3</sub> > k<sub>1</sub> > k<sub>2</sub>
D
k<sub>3</sub> > k<sub>2</sub> > k<sub>1</sub>
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
A square of 9 mm
2
area is subjected to simple shear displacement √3 mm along x-direction, as shown below: The strain imparted will be
A
$$\frac{1}{3}$$
B
$$\frac{1}{{\surd 3}}$$
C
$${\surd 3}$$
D
3
A furnace wall consists of four layers of different materials, M
1
, M
2
, M
3
and M
4
. 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
A
M<sub>1</sub>
B
M<sub>2</sub>
C
M<sub>3</sub>
D
M<sub>4</sub>
From a 2 m × 1.2m sheet, squares are Cut out from each of the four comers as shown in the figure and then the sides are bent to form an open box. The maximum possible volume (in m
3
) of the box is
A
0.14
B
0.26
C
0.54
D
0.82
Consider a conducting loop of radius a and total loop resistance R placed in a region with a magnetic field B thereby enclosing a flux $${\phi _0}$$ . The loop is connected to an electronic circuit as shown, the capacitor being initially uncharged.
If the loop is pulled out of the region of the magnetic field at a constant speed u, the final output voltage V
out
is independent of
A
$${\phi _0}$$
B
u
C
R
D
C
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
