Solid State Test

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Solid State Test - 30

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Weekly Quiz Competition

Question 1
1 / -0

The lattice parameters, $$a\neq b\neq c$$ and $$\alpha\neq\beta\neq\gamma\neq 90^{\circ}$$ represents a__________.

A
tetragonal system

B
orthorhombic system

C
monoclinic system

D
triclinic system

Solution

The axial distances and the axial angles, $$a\neq b\neq c$$ and $$\alpha\neq\beta\neq\gamma\neq 90^{\circ}$$ represents triclinic system.
None of the edge lengths are equal and none of the angles are equal to each other. Also, none of the angles are equal to $$90^0$$.
Examples of triclinic crystal systems include $$K_2Cr_2O_7$$ and $$H_3BO_3$$.
Question 2
1 / -0

Identify the amorphous substance from the following.

A
sugar

B
clay

C
salt

D
iron

Solution

Clay is amorphous solid. Sugar, salt and iron are crystalline solid.
Note:
A solid is said to be crystalline when it possesses a definite geometrical shape. A crystalline solid is a homogeneous solid in which the constituent particles, atoms or ions or molecules are arranged in a definite repeating pattern. Such arrangement leads to maximum total intermolecular force of attraction.
A solid is said to be amorphous when it has no geometrical shape. Such substances appear like solids but the do not have well developed perfectly ordered crystalline structure.
Question 3
1 / -0

Which of the following is a non-crystalline solid?

A
$$CsCl$$

B
$$NaCl$$

C
$$CaF_{2}$$

D
Glass

Solution

$$CsCl$$, $$NaCl$$ and $$CaF_2$$ are crystalline solids whereas glass is an amorphous solid as it does not has well developed perfectly ordered crystalline structure. Other amorphous solids include tar, rubber, plastic, butter etc.
Question 4
1 / -0

Which of the following are the correct axial distances and axial angles for rhombohedral system?

A
$$\;a=b=c,\,\alpha=\beta=\gamma\neq 90^{\circ}$$

B
$$\;a=b\neq c,\;\alpha=\beta=\gamma=90^{\circ}$$

C
$$\;a\neq b=c,\;\alpha=\beta=\gamma=90^{\circ}$$

D
$$\;a\neq b\neq c,\;\alpha\neq\beta\neq\gamma\neq 90^{\circ}$$

Solution

The correct axial distances and axial angles for rhombohedral system are $$\;a=b=c,\,\alpha=\beta=\gamma\neq 90^{\circ}$$.

All the three edge lengths are equal and all the three angles are equal but none of the angles is equal to $$90^o$$.

Examples of rhombohedral crystal include calcite, $$NaNO_3$$ and $$CaCO_3$$.

Hence, the correct option is $$\text{A}$$
Question 5
1 / -0

Bravais lattices are of___________.

A
$$10$$ types

B
$$8$$ types

C
$$7$$ types

D
$$14$$ types

Solution

There are seven crystal systems with fourteen Bravais lattices.
Question 6
1 / -0

The empty space in hcp and ccp is about :

A
$$26\%$$

B
$$30\%$$

C
$$35\%$$

D
$$40\%$$

Solution

The space occupied by spheres of equal size in three dimensions in both hcp and ccp arrangements is $$74\%$$. The vacant space is $$100-74=26\%$$.
Question 7
1 / -0

Diamond belongs to which of the following crystal system?

A
Cubic

B
Triclinic

C
Tetragonal

D
Hexagonal

Solution

Diamond belongs to the cubic crystal system.
The correct axial distances and axial angles are $$a=b=c$$ and $$\alpha=\beta=\gamma= 90^{\circ}$$.
All the three edge lengths are equal and all the three angles are equal to each other and equal to $$90^{\circ}$$.
Question 8
1 / -0

The space occupied in bcc arrangement is_____________.

A
$$74\%$$

B
$$70\%$$

C
$$68\%$$

D
$$60\%$$

Solution

The space occupied in sc, bcc and fcc structures are $$52\%$$, $$68\%$$ and $$74\%$$ respectively.
Question 9
1 / -0

A compound having bcc geometry has atomic mass $$50$$ amu. Calculate the density (in g cm$$^{-3}$$) of the unit cell, if its edge length is $$290$$ pm.

A
$$6.81$$

B
$$3.40$$

C
$$13.62$$

D
None of the above

Solution

The expression for the density of the unit cell is given below.

$$d=\displaystyle\frac{n\times M}{a^3\times N_A}$$

Here, $$M=50$$

For bcc, $$n=2$$

$$a=290$$ pm $$=290\times10^{-10}$$ cm

Substituting values in the expression for density, we get

$$d=\displaystyle\frac{2\times50}{(290\times10^{-10})^3\times6.023\times10^{23}}=6.81$$ g cm$$^{-3}$$

Hence, the density of the unit cell is $$6.81$$ g cm$$^{-3}$$.
Question 10
1 / -0

Which one of the following is not a close packing?

A
HCP

B
CCP

C
BCC

D
FCC

Solution

The space occupied in hcp, ccp, bcc and fcc structures are $$74\%$$, $$ 74\%$$, $$68\%$$ and $$74\%$$ respectively. Thus, bcc is not a close packing.
Hence, the correct option is $$\text{C}$$

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Solid State Test - 30

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Solid State Test - 30

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SHARING IS CARING

Question 1

tetragonal system

orthorhombic system

monoclinic system

triclinic system

Solution

Question 2

sugar

clay

salt

iron

Solution

Question 3

$$CsCl$$

$$NaCl$$

$$CaF_{2}$$

Glass

Solution

Question 4

$$\;a=b=c,\,\alpha=\beta=\gamma\neq 90^{\circ}$$

$$\;a=b\neq c,\;\alpha=\beta=\gamma=90^{\circ}$$

$$\;a\neq b=c,\;\alpha=\beta=\gamma=90^{\circ}$$

$$\;a\neq b\neq c,\;\alpha\neq\beta\neq\gamma\neq 90^{\circ}$$

Solution

Question 5

$$10$$ types

$$8$$ types

$$7$$ types

$$14$$ types

Solution

Question 6

$$26\%$$

$$30\%$$

$$35\%$$

$$40\%$$

Solution

Question 7

Cubic

Triclinic

Tetragonal

Hexagonal

Solution

Question 8

$$74\%$$

$$70\%$$

$$68\%$$

$$60\%$$

Solution

Question 9

$$6.81$$

$$3.40$$

$$13.62$$

None of the above

Solution

Question 10

HCP

CCP

BCC

FCC

Solution

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