Solid State Test

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Solid State Test - 21

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is not a crystalline solid?

A
Potassium Chloride

B
Caesium Chloride

C
Glass

D
Rhombic sulphur

Solution

Crystalline solids are solids that have their atoms, molecules, and ions highly repetitive in nature and arranged in a specific pattern.

KCl, CsCl, and rhombic sulphur are crystalline solids whereas glass is an amorphous solid.

So, the correct option is (C).
Question 2
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Which of the following is not related to amorphous solids?

A
They do not have sharp melting points

B
They are rigid and hard

C
They are not bound by plane surfaces

D
They give diffraction bands

Solution

Strength, photovoltaic optical properties, no sharp melting points, not bound by plane surfaces, hard etc. are the features of amorphous solids. However, they do not give diffraction bands.
Question 3
1 / -0

The crystalline sodium has body centred cubic unit cell with edge length equal to $$0.424$$ nm at $$298$$ K. The density (in kg m$$^{-3}$$) of sodium metal at $$298$$ K is:

A
$$1.002\times 10^{3}$$

B
$$1.002\times 10^{-3}$$

C
$$2\times 10^{3}$$

D
$$2\times 10^{-3}$$

Solution

The formula for calculating density is given below:
$$d=\dfrac { zM }{ { N }_{ A }{ a }^{ 3 } } $$
$$d=\dfrac { 2 \times 23 }{ 6 \times 10^ {23} \times (0.424 \times 10 ^ {-9} )^3} $$ $$\implies d=1.002\times 10^{3}$$ kg m$$^{-3}$$
Question 4
1 / -0

In a hexagonal close packed (hcp) structure of spheres, the fraction of the volume occupied by the spheres is A. In a cubic close packed structure, the fraction is B. The relation between A and B is:

A
$$A=B$$

B
$$A > B$$

C
$$A < B$$

D
None of the above

Solution

In both hexagonal close-packed and cubic close-packed structures, the fraction of volume occupied by the spheres is 0.74.

Means A = B = 0.74

Hence, the correct option is A.
Question 5
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How many kinds of space lattices are possible in a crystal?

A
$$23$$

B
$$7$$

C
$$30$$

D
$$14$$

Solution

There are 14 kinds of space lattices are possible for crystals these are called as Bravais lattice.
Question 6
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Which one of the following is correct?

A
Schottky defect lowers the density.

B
Frenkel defect increases the dielectric constant of the crystals.

C
Stoichiometric defects make the crystals good electrical conductors.

D
All of the above.

Solution

Stoichiometric defects are the defects by which the stoichiometry of the solid is not changed. Stoichiometric defects make the crystals good electrical conductors as vacancies are created as ions are either displaced or removed from their respective places.

In Frenkel defect, the smaller ion (usually cation) is dislocated from its normal site to an interstitial site. It does not change the density of the solid but increases the dielectric constant of the crystals.

The Schottky defect is basically a vacancy defect in ionic solids. In order to maintain electrical neutrality, the number of missing cations and anions is equal. Schottky defect lowers the density as both cations and anions are removed.

Hence, option (D) is correct.
Question 7
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Which has a minimum percent volume occupied by the spheres?

A
Simple cubic

B
Body-centred cubic

C
Hexagonal closed packed

D
Cubic closed packed

Solution

The edge length or side of the cube, $$a$$ and the radius of each particle, $$r$$ are related as $$a = 2r$$.
The volume of the cubic unit cell $$= a^{3} = (2r)^{3} = 8r^{3}$$
A simple cubic unit cell contains only $$1$$ atom.
The volume of the occupied space $$=\dfrac { 4\pi { r }^{ 3 } }{ 3 }$$
$$\therefore \text{Packing efficiency }$$ $$=\dfrac{\text{Volume of one atom}}{\text{Volume of cubic unit cell}}\times 100 =52.4\% $$
Question 8
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Which of the following does not represent a type of crystal system?

A
Triclinic

B
Monoclinic

C
Rhombohedral

D
Isotropical

Solution

The crystal systems into which 14 Bravais lattice are being grouped are:
1) Cubic
2) Orthorhombic
3) Tetrahedral
4) Hexagonal
5) Rhombohedral
6) Monoclinic
7) Triclinic

Hence, Isotropical is not a crystal system type.

Hence, Option "D" is the correct answer.
Question 9
1 / -0

An element (atomic mass $$=100$$ amu) having a bcc structure has a unit cell edge equal to $$400$$ pm. The density (in g cm$$^{-3}$$) of the element is:

A
$$10.376$$

B
$$5.200$$

C
$$7.289$$

D
$$2.144$$

Solution

The formula for calculating density is given below:

$$d=\dfrac { z\times M }{ { N }_{ A }\times { a }^{ 3 } } $$

where,
$$d=$$ density of the unit cell
$$z=$$ effective number of atoms in the bcc unit cell $$=2$$
$$M=$$ molar mass $$=100\ g/mol$$
$$N_A=$$ Avogadro number
$$a^3=$$ volume of the unit cell $$=(400\times { 10 }^{ -10 })^3cm ^{ 3 }$$

Substituting the value, we get

$$d=\dfrac { 2\times 100 }{ { 6\times 10 }^{ 23 }\times { (400\times { 10 }^{ -10 }cm) }^{ 3 } } =\ 5.2\ g .cm^{-3}$$
Question 10
1 / -0

Body diagonal of a cube is $$866$$ pm. Its edge length would be:

A
$$408$$ pm

B
$$1000$$ pm

C
$$500$$ pm

D
$$600$$ pm

Solution

Body diagonal = $$ \sqrt 3 a $$
$$\sqrt { 3 } a=\quad 866\quad pm\\ a\quad =\quad 500\quad pm\\ $$

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Re-Attempt Weekly Quiz Competition

Solid State Test - 21

Result

Solid State Test - 21

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SHARING IS CARING

Question 1

Potassium Chloride

Caesium Chloride

Glass

Rhombic sulphur

Solution

Question 2

They do not have sharp melting points

They are rigid and hard

They are not bound by plane surfaces

They give diffraction bands

Solution

Question 3

$$1.002\times 10^{3}$$

$$1.002\times 10^{-3}$$

$$2\times 10^{3}$$

$$2\times 10^{-3}$$

Solution

Question 4

$$A=B$$

$$A > B$$

$$A < B$$

None of the above

Solution

Question 5

$$23$$

$$7$$

$$30$$

$$14$$

Solution

Question 6

Schottky defect lowers the density.

Frenkel defect increases the dielectric constant of the crystals.

Stoichiometric defects make the crystals good electrical conductors.

All of the above.

Solution

Question 7

Simple cubic

Body-centred cubic

Hexagonal closed packed

Cubic closed packed

Solution

Question 8

Triclinic

Monoclinic

Rhombohedral

Isotropical

Solution

Question 9

$$10.376$$

$$5.200$$

$$7.289$$

$$2.144$$

Solution

Question 10

$$408$$ pm

$$1000$$ pm

$$500$$ pm

$$600$$ pm

Solution

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