Solid State Test

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Solid State Test - 41

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Weekly Quiz Competition

Question 1
1 / -0

A solid can be irreversibly deformed. The stamping of sheets of steel into 'fins' of motor cars is a case of :

A
Vaccum deformation

B
Plastic deformation

C
Elastic deformation

D
Flexible shaping

Solution

Plastic Deformation is the permanent distortion which occurs when the material is subjected to stress, tensile or compression that exceeds its yield strength.
Question 2
1 / -0

Which type of crystals contains more than one Bravais lattice?

A
Hexagonal

B
Triclinic

C
Rhombohedral

D
Monoclinic

Solution

In the given options, Hexagonal, Triclinic and Rhombohedral crystals have only one Bravais lattice. Only Monoclinic Crystal has two Bravais lattice.

Hence, the correct answer is option "D".
Question 3
1 / -0

If the height of $$HCP$$ unit cell of identical particles is $$h$$, then height of octahedral voids from the base is________.

A
$$\dfrac {h}{2}$$

B
$$\dfrac {h}{3}, \dfrac {2h}{3}$$

C
$$\dfrac {h}{4}, \dfrac {3h}{4}$$

D
$$\dfrac {h}{8}, \dfrac {7h}{8}$$

Solution

Since, octahedral voids are present at body center and edge centers. So, if $$h$$ is the height of HCP unit cell, the body center must be located at $$\cfrac h2$$ height from the base, where $$a$$ octahedral void is located.
Question 4
1 / -0

The radii of $$Na^+$$ and $$Cl^-$$ ions are $$95 pm$$ and $$181 pm$$ respectively. The edge length of $$NaCl$$ unit cell is:

A
276 pm

B
138 PM

C
552 pm

D
415 pm

Solution

For $$NaCl$$ type crystal structure,

$$a={ 2r }_{ { Na }^{ + } }+{ 2r }_{ { Cl }^{ - } }\\ a=2\times 95+2\times 181\\ a=552pm$$.

Hence, correct answer is option C.
Question 5
1 / -0

A crystalline structure has radius ratio ($$r_+ /r_-$$) in the range of $$0.225-0.414$$. The coordination number and arrangement of anions around the cations are:

A
$$3$$, plane triangular

B
$$6$$, octahedral

C
$$4$$, tetrahedral

D
$$8$$, cubic

Solution

Gustav F. Hüttig first proposed the radius ratio rule in 1920.

The table below gives the relation between radius ratio, coordination number and type of structure.

Radius Ratio        Coordination number        Type of structure

< 0.155                 2                                             Linear

0.155 - 0.225 3       Triangular Planar

0.225 - 0.414 4                                             Tetrahedral

0.414 - 0.732 6                                              Octahedral

0.732 - 1.000 8                                              Cubic

The correct option is C.
Question 6
1 / -0

A unit of $$BaCl_2$$ (fluorite structure) is made up of:

A
four $$Ba^{2+}$$ ions and four $$Cl^-$$ ions

B
four $$Ba^{2+}$$ ions and eight $$Cl^-$$ ions

C
eight $$Ba^{2+}$$ ions and four $$Cl^-$$ ions

D
four $$Ba^{2+}$$ ions and six $$Cl^-$$ ions
Solution
$${ BaCl }_{ 2 }$$ has $${ CaF }_{ 2 }$$ type structure. In $${ BaCl }_{ 2 }$$,
- The $${ Ba }^{ 2+ }$$ ions form the ccp arrangement, i.e., these ions occupy all the corner positions and the center of each face of the cube.
The coordination of the compound is 8:4.
In a unit of $$BaCl_2$$, there are eight $$Ba^{2+}$$ ions and four $$Cl^-$$ ions.
So, option C is correct.
Question 7
1 / -0

If the distance between $$Na^+$$ and $$Cl^-$$ in $$NaCl$$ crystal is $$265 pm$$, the edge length of the unit cell will be:

A
265 pm

B
795 pm

C
132.5 pm `

D
530 pm

Solution

For $$NaCl$$ crystal,
$$a=2\times r\\ where\quad 'a'\quad is\quad edge\quad length\quad and\quad 'r'\quad distance\quad between\quad atoms\\ a=2\times 265\\ a=530pm$$.
Hence, correct answer is option D.
Question 8
1 / -0

In $$ABC$$ packing if the number of atoms in the unit cell is $$n$$ then the number of tetrahedral voids in the unit cell is equal to:

A
$$n$$

B
$$\dfrac{n}{2}$$

C
$$\dfrac{n}{4}$$

D
$$2n$$

Solution

In a closed packed structure, the number of tetrahedral voids in a single unit cell is twice the number of octahedral voids.

number of octahedral voids = number of atoms
So for $$n$$ atoms, the number of tetrahedral voids will be $$2n$$.

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

The unit cell shown in the figure belongs to :

A
$$NaCl$$ type

B
$$ZnS$$ type

C
$$CsCl$$ type

D
$$CaF_2$$ type

Solution

In the given figure, $$Y$$ is present at corners of the cube & $$X$$ occupy some of the tetrahedral voids. This is $$ZnS$$ type structure in which sulphide ions are present at corners and zinc ions occupy half of the tetrahedral voids.

Hence, option "B" is the correct answer.
Question 10
1 / -0

Match the column I with column II and mark the appropriate choice.
Column I
(Structure) Column II
(Packing efficiency)
(A) Simple cubic structure (i) 68%
(B) Face centered cubic structure (ii) 74%
(C) Body centered cubic structure (iii) 52%

A
(A) $$\rightarrow $$ (iii), (B) $$\rightarrow $$ (ii), (C) $$\rightarrow $$ (i)

B
(A) $$\rightarrow $$(i), (B) $$\rightarrow $$ (ii), (C) $$\rightarrow $$ (iii)

C
(A) $$\rightarrow $$ (ii), (B) $$\rightarrow $$ (i), (C) $$\rightarrow $$ (iii)

D
(A) $$\rightarrow $$ (iii), (B) $$\rightarrow $$ (i), (C) $$\rightarrow $$ (ii)

Solution

For simple cubic structure, packing efficiency is 52% (iii)
For $$fcc$$, packing efficiency = 74%(ii)
For $$bcc$$, packing efficiency = 68%.(i)
So, correct answer is option A.

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Re-Attempt Weekly Quiz Competition

	Column I (Structure)		Column II (Packing efficiency)
(A)	Simple cubic structure	(i)	68%
(B)	Face centered cubic structure	(ii)	74%
(C)	Body centered cubic structure	(iii)	52%

Solid State Test - 41

Result

Solid State Test - 41

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Question 1

Vaccum deformation

Plastic deformation

Elastic deformation

Flexible shaping

Solution

Question 2

Hexagonal

Triclinic

Rhombohedral

Monoclinic

Solution

Question 3

$$\dfrac {h}{2}$$

$$\dfrac {h}{3}, \dfrac {2h}{3}$$

$$\dfrac {h}{4}, \dfrac {3h}{4}$$

$$\dfrac {h}{8}, \dfrac {7h}{8}$$

Solution

Question 4

276 pm

138 PM

552 pm

415 pm

Solution

Question 5

$$3$$, plane triangular

$$6$$, octahedral

$$4$$, tetrahedral

$$8$$, cubic

Solution

Question 6

four $$Ba^{2+}$$ ions and four $$Cl^-$$ ions

four $$Ba^{2+}$$ ions and eight $$Cl^-$$ ions

eight $$Ba^{2+}$$ ions and four $$Cl^-$$ ions

four $$Ba^{2+}$$ ions and six $$Cl^-$$ ions

Solution

Question 7

265 pm

795 pm

132.5 pm `

530 pm

Solution

Question 8

$$n$$

$$\dfrac{n}{2}$$

$$\dfrac{n}{4}$$

$$2n$$

Solution

Question 9

$$NaCl$$ type

$$ZnS$$ type

$$CsCl$$ type

$$CaF_2$$ type

Solution

Question 10

(A) $$\rightarrow $$ (iii), (B) $$\rightarrow $$ (ii), (C) $$\rightarrow $$ (i)

(A) $$\rightarrow $$(i), (B) $$\rightarrow $$ (ii), (C) $$\rightarrow $$ (iii)

(A) $$\rightarrow $$ (ii), (B) $$\rightarrow $$ (i), (C) $$\rightarrow $$ (iii)

(A) $$\rightarrow $$ (iii), (B) $$\rightarrow $$ (i), (C) $$\rightarrow $$ (ii)

Solution

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