Solid State Test

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Solid State Test - 54

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Weekly Quiz Competition

Question 1
1 / -0

The number of tetrahedral and octahedral voids in the hexagonal primitive unit cell is?

A
$$8,4$$

B
$$2,1$$

C
$$12,6$$

D
$$6,12$$

Solution
Question 2
1 / -0

A solid contains $${ A }^{ n+ }$$ and $${ B }^{ m- }$$ ions. The structure of solid is FCC for $${ B }^{ m- }$$ ions and $${ A }^{ n+ }$$ ions are present in one-fourth of tetrahedral voids as well as in one fourth of octahedral voids. What is the simplest formula of solid?

A
$${ A }_{ 3 }{ B }_{ 4 }$$

B
$${ A }_{ 4 }{ B }_{ 3 }$$

C
$$A{ B }_{ 2 }$$

D
$${ A }_{ 2 }B$$

Solution
Question 3
1 / -0

Which one of the following schemes of ordering close-packed sheets of equal-sized spheres do not generate close-packed lattice?

A
$$ABACABAC.....$$

B
$$ABCBCABC....$$

C
$$ABCABC....$$

D
$$ABBAA....$$

Solution

In option D, the scheme ABBAABBA ..... of ordering closed packed sheets of equal-sized spheres do not generate close-packed lattice as BB, AA and BB represent the same layers of sheets placed together.

Hence, Option D is correct.
Question 4
1 / -0

The empty space left between the spheres in closed packed structure is called voids. The decreasing order of the size of voids is

A
cubic > octahedral > tetrahedral > trigonal

B
octahedral > tetrahedral > trigonal > cubic

C
tetrahedral > trigonal > cubic > octahedral

D
trigonal > cubic > octahedral > tetrahedral

Solution

cubic > octahedral > tetrahedral > trigonal

As the ratio of $$\dfrac{r}{R}$$ is as follow :

0.732 > 0.414 > 0.225 > 0.155
Question 5
1 / -0

The correct order of matching of the following compounds is:
List- $$I$$ List - $$II$$
Borazole $$CaSO_{4}.1/2 H_{2}O$$
Plaster of paris $$C_{60}$$
Boric acid $$SiO_{2}$$
Quartz $$B_{3}N_{3}H{6}$$
Buckminstersullerene $$H_{3}BO_{3}$$

A
$$A-3, B-1, C-2, D-5, E-4$$

B
$$A-1, B-5, C-3, D-4, E-2$$

C
$$A-5, B-2, C-1, D-3, E-4$$

D
$$A-4, B-1, C-5, D-3, E-2$$

E
$$A-4, B-1, C-5, D-2, E-3$$

Solution

Question 6

1 / -0

In a crystal $$AB$$, which of the following crystal systems will have parameters, $$a\neq b\neq c$$ and $$\alpha = \beta = \gamma = 90^{\circ}$$?

Cubic

Orthorhombic

Monoclinc

Triclinic

Solution

The Lattice parameters of the given crystal systems are:-

Crystal System	Intercepts Parameter	Angle Parameter
Cubic	a = b = c	⍺ = β = γ = 90⁰
Orthorhombic	a ≠ b ≠ c	⍺ = β = γ = 90⁰
Monoclinic	a ≠ b ≠ c	⍺ = γ = 90⁰, β ≠ 90⁰
Triclinic	a ≠ b ≠ c	⍺ ≠ β ≠ γ ≠ 90⁰

Hence, the given parameters are of Orthorhombic crystal system. Option B is correct.

Question 7
1 / -0

The number of Bravais lattices in a cubic crystal is

A
$$3$$

B
$$1$$

C
$$4$$

D
$$14$$

Solution

There are total 3 Bravais lattices associated with the cubic system.
Primitive cubic unit cell
Body centred cubic unit cell
Face centred cubic unit cell.
Question 8
1 / -0

The packing efficiency of the two dimensional square unit cell shown below is (all the circles are of the same radius).

A
$$39.27\%$$

B
$$68.02\%$$

C
$$74.05\%$$

D
$$78.54\%$$

Solution

Number of atoms in $$2-D$$ square unit cell
$$=$$ Number of corner atoms $$\times$$ contribution to one unit cell
$$= 4\times \dfrac {1}{4} = 1$$

As the central atom is not shared by other cells.
Total number of atoms per square unit cell $$= 1 + 1 = 2$$

$$\therefore$$ Packing fraction
$$= \dfrac {\text {Area of atoms of one sq. unit cell}}{\text {Area of one sq. unit cell}}$$

$$= \dfrac {2\pi r^{2}}{l^{2}}$$

where $$4r = \sqrt {2}l (From\ figure)$$.

So, $$r^2=\cfrac{l^2}{8} \Rightarrow \cfrac{r^2}{l^2}=\cfrac{1}{8}$$

$$\therefore$$ Packing fraction= 0..785

$$\%$$ Packing $$= 78.5\%$$

Option $$D$$ is correct.
Question 9
1 / -0

Which is the most unstable Bravais Lattice?

A
Monoclinic

B
Triclinic

C
Romohedral

D
Tetrahedral

Solution

Triclinic is the most unstable Bravais Lattice.
Hence, Option "B" is the correct answer.
Question 10
1 / -0

The decreasing order of the size of the void is

A
$$Cubic > octahedral > tetrahedral > trigonal$$

B
$$Trigonal > tetrahedral > octahedral > cubic$$

C
$$Trigonal > octahedral > tetrahedral > cubic$$

D
$$Cubic > tetrahedral > octahedral > trigonal$$

Solution

The decreasing order of the size of the void is:
$$Cubic > octahedral > tetrahedral > trigonal$$

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Re-Attempt Weekly Quiz Competition

List- $$I$$	List - $$II$$
Borazole	$$CaSO_{4}.1/2 H_{2}O$$
Plaster of paris	$$C_{60}$$
Boric acid	$$SiO_{2}$$
Quartz	$$B_{3}N_{3}H{6}$$
Buckminstersullerene	$$H_{3}BO_{3}$$

Solid State Test - 54

Result

Solid State Test - 54

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Rank

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SHARING IS CARING

Question 1

$$8,4$$

$$2,1$$

$$12,6$$

$$6,12$$

Solution

Question 2

$${ A }_{ 3 }{ B }_{ 4 }$$

$${ A }_{ 4 }{ B }_{ 3 }$$

$$A{ B }_{ 2 }$$

$${ A }_{ 2 }B$$

Solution

Question 3

$$ABACABAC.....$$

$$ABCBCABC....$$

$$ABCABC....$$

$$ABBAA....$$

Solution

Question 4

cubic > octahedral > tetrahedral > trigonal

octahedral > tetrahedral > trigonal > cubic

tetrahedral > trigonal > cubic > octahedral

trigonal > cubic > octahedral > tetrahedral

Solution

Question 5

$$A-3, B-1, C-2, D-5, E-4$$

$$A-1, B-5, C-3, D-4, E-2$$

$$A-5, B-2, C-1, D-3, E-4$$

$$A-4, B-1, C-5, D-3, E-2$$

$$A-4, B-1, C-5, D-2, E-3$$

Solution

Question 6

Cubic

Orthorhombic

Monoclinc

Triclinic

Solution

Question 7

$$3$$

$$1$$

$$4$$

$$14$$

Solution

Question 8

$$39.27\%$$

$$68.02\%$$

$$74.05\%$$

$$78.54\%$$

Solution

Question 9

Monoclinic

Triclinic

Romohedral

Tetrahedral

Solution

Question 10

$$Cubic > octahedral > tetrahedral > trigonal$$

$$Trigonal > tetrahedral > octahedral > cubic$$

$$Trigonal > octahedral > tetrahedral > cubic$$

$$Cubic > tetrahedral > octahedral > trigonal$$

Solution

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