Solid State Test

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Solid State Test - 35

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Weekly Quiz Competition

Question 1
1 / -0

Percentage of free space in a body centre cubic unit cell is:

A
$$30$$%

B
$$32$$%

C
$$34$$%

D
$$28$$%

Solution

Percentage of free space in a body centered cubic unit cell is 32%.
Percentage of occupied space in a body centered cubic unit cell is 68%.

Note: Percentage of free space in a simple cubic unit cell is 47.6%.
Percentage of free space in a face centered cubic unit cell is 26%.
Question 2
1 / -0

The contribution of particle at the edge centre to a particular unit cell is :

A
$$\displaystyle\frac{1}{2}$$

B
$$\displaystyle\frac{1}{4}$$

C
$$1$$

D
$$\displaystyle\frac{1}{8}$$

Solution

The atom present at the edge center of a unit cell is shared by a total of 4 unit cells. Hence the contribution of the edge centered atom = $$\dfrac{1}{4}$$

Option B is correct.
Question 3
1 / -0

The unit cell with crystallographic dimensions, $$a\ne b\ne c$$, $$\alpha=\gamma=90$$ and $$\beta\ne 90$$ is called :

A
triclinic

B
monoclinic

C
orthorhombic

D
tetragonal

Solution

$$a\neq b\neq c,\alpha=\gamma=90^o, \beta\neq90^o$$ are the dimensions of monoclinic bravais lattice.
Question 4
1 / -0

In body-centred cubic structure, the space occupied is about :

A
68%

B
53%

C
38%

D
32%

Solution

In a body centred cubic unit cell atoms are present at the corners of the unit cell and one atom occupy the center of the unit cell.

Therefore $$Z_{eff}$$ of the unit cell $$=\dfrac{1}{8} \times8+1=2$$

Packing fraction of the unit cell $$=\dfrac{Volume\ occupied\ by\ the\ atoms}{Volume\ of\ unit\ cell}$$

In BCC, atoms touch along the body diagonal of the unit cell therefore, we can write $$\sqrt{3}a=4r$$

Packing fraction $$=\dfrac{Z_{eff}\times \frac{4}{3}\pi r^3}{a^3}=\dfrac{2\times\frac{4}{3}\pi r^3}{(\frac{4r}{\sqrt3})^3}=\dfrac{\sqrt3\pi}{8}=0.68$$
Question 5
1 / -0

P-type semi-conductors are made by mixing silicon with impurities of:

A
germanium

B
boron

C
arsenic

D
antimony

Solution

Since boron has $$3$$ electrons in its valence shell, it offers $$3$$ of the four electrons that a silicon atom needs. As a result, each silicon center is left with a hole. Semiconductors made in this manner are called p-type.
Question 6
1 / -0

The smallest repeating unit in space lattice which when repeated over and again results in the crystal of the given substance is called:

A
space lattice

B
crystal lattice

C
unit Cell

D
isomorphism

Solution

The smallest repeating unit in space lattice which when repeated over and again results in the crystal of the given substance is called unit cell.
The collection of all points in the crystal having similar environment is called space lattice.
The lattice points can be arranged in maximum of fourteen types. This arrangement is called Bravais lattice.
Two or more substances having the same crystal structure are said to be isomorphous.
Question 7
1 / -0

To prepare n-type semiconductor the impurity to be added to silicon should have the following number of valence electrons:

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

To prepare n-type semiconductor the impurity to be added to silicon should have 5 valence electrons.

In n-type semiconductors, electrons are the majority carriers and holes are the minority carriers. N-type semiconductors are created by doping an intrinsic semiconductor with donor impurities.
Question 8
1 / -0

$$ZnS$$ can be existing in the ________ structure other than zing blende structure.

A
Bcc

B
Wurtzite

C
Simple cubic

D
Rock salt

Solution

Wurtzite is a zinc iron sulfide mineral frequently encountered mineral form of sphalerite.
Hence, option B is correct.
Question 9
1 / -0

Formula of unit cell density is:

A
$$\dfrac{ZM}{{a}^{3}{N}_{0}}$$

B
$$\dfrac{Z{N}_{0}}{{a}^{3}M}$$

C
$$\dfrac{{N}_{0}{a}^{3}}{MZ}$$

D
$$\dfrac{Z}{M{N}_{0}}$$

Solution

Formula of unit cell Density, $$\rho= \dfrac{ZM}{a^3N_0}$$
Question 10
1 / -0

Crystal structure of $$NaCl$$:

A
face centered cubic

B
body centered cubic

C
hexagonal

D
tetrahedral

Solution

$$NaCl$$ has a face-centred cubic unit cell. Chloride ions (being larger in size) form cubic close packing. They are present at the corners and at the centre of each face of the cube. Smaller sodium ions are present in all the octahedral holes.

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Solid State Test - 35

Result

Solid State Test - 35

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SHARING IS CARING

Question 1

$$30$$%

$$32$$%

$$34$$%

$$28$$%

Solution

Question 2

$$\displaystyle\frac{1}{2}$$

$$\displaystyle\frac{1}{4}$$

$$1$$

$$\displaystyle\frac{1}{8}$$

Solution

Question 3

triclinic

monoclinic

orthorhombic

tetragonal

Solution

Question 4

68%

53%

38%

32%

Solution

Question 5

germanium

boron

arsenic

antimony

Solution

Question 6

space lattice

crystal lattice

unit Cell

isomorphism

Solution

Question 7

$$2$$

$$3$$

$$4$$

$$5$$

Solution

Question 8

Bcc

Wurtzite

Simple cubic

Rock salt

Solution

Question 9

$$\dfrac{ZM}{{a}^{3}{N}_{0}}$$

$$\dfrac{Z{N}_{0}}{{a}^{3}M}$$

$$\dfrac{{N}_{0}{a}^{3}}{MZ}$$

$$\dfrac{Z}{M{N}_{0}}$$

Solution

Question 10

face centered cubic

body centered cubic

hexagonal

tetrahedral

Solution

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