Solid State Test

Result

Solid State Test - 68

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Weekly Quiz Competition

Question 1
1 / -0

Select right expression for determining Packing fraction (P.F.) of NaCl unit cell (assume ideal), if ions along an edge diagonal are absent ?

A
$$P.F. = \dfrac{\dfrac{4}{3}\pi(r_+^3 +r_-^3)}{16\sqrt{2}r_-^3}$$

B
$$P.F. = \dfrac{\dfrac{4}{3}\pi(\dfrac{5}{2}r_+^3 +4r_-^3)}{16\sqrt{2}r_-^3}$$

C
$$P.F. = \dfrac{\dfrac{4}{3}\pi(\dfrac{5}{2}r_+^3 +r_-^3)}{16\sqrt{2}r_-^3}$$

D
$$P.F. = \dfrac{\dfrac{4}{3}\pi(\dfrac{7}{2}r_+^3 +r_-^3)}{16\sqrt{2}r_-^3}$$

Solution
Question 2
1 / -0

CsBr crystallises in a body centred cubic lattice.The until cell length is 436.6pm.Given that the atomic mass of Cs=133 and that of Br=80 amu and Avogadro number being $$ 6.02\times { 10 }^{ 23 } { mol }^{ -1 }$$,the density of $$CsBr$$ is:

A
$$8.25{ g }/{ { cm }^{ 3 } }$$

B
$$4.25{ g }/{ { cm }^{ 3 } }$$

C
$$42.5{ g }/{ { cm }^{ 3 } }$$

D
$$0.425{ g }/{ { cm }^{ 3 } }$$
Question 3
1 / -0

An element crystallizing in the three Bravais Cubic lattices, the ratio of densities $$ \rho_{P}: \rho_{1}: \rho_{F}$$ is:

A
0.125 : 0.163 : 0.177

B
0.125 : 0.177 : 0.163

C
0.177 :0.163 : 0.125

D
0.163 :0.177 : 0.125
Question 4
1 / -0

Given length of side of hexagonal unit cell is $$\dfrac { 100 }{ \sqrt { 2 } } $$ pm. The volume of hexagonal unit cell is (in pm$$^{ 3 }$$):

A
$${ 8\times 10 }^{ 6 }$$

B
$${ 1.5\times 10 }^{ 6 }$$

C
$${ 64\times 10 }^{ 6 }$$

D
$${ 36\times 10 }^{ 6 }$$

Solution
Question 5
1 / -0

A metallic element exist as cubic lattice Each edge of the unit cell is $$4.0 \mathring{A}$$ .The density of the metal is $$6.25 g/cm^3$$.How many unit cells will be present in $$100 g$$ of the metal?

A
$$1.0\times 10^{22}$$

B
$$2.5\times10^{23}$$

C
$$5.0\times10^{23}$$

D
$$2.0\times10^{23}$$

Solution
Question 6
1 / -0

In FCC crystal, which of the following shaded planes the following type of arrangement of atoms

A

B

C

D
Question 7
1 / -0

Crystalline allotrope of silicon has:

A
Diamond like structure

B
Graphite like structure

C
fullerene like structure

D
$$s{p^2}$$ hybridization
Question 8
1 / -0

An element exists as hexagonal close packed structure as well as cubic closed packed structure. In which case the element would have higher density?

A
CCP

B
HCP

C
Same in both

D
Unpredictable

Solution

The packing efficiencies of both $$hcp$$ and $$ccp$$ is approximately same that is $$74$$% density of the element will be same in both the cases as two structures will have the same coordination number and hence, the same packing fraction and density.
Question 9
1 / -0

Maximum possible numbers of two dimensional and three dimensional lattices are respectively __________.

A
5 and 14

B
7 and 14

C
14 and 4

D
5 and 13
Question 10
1 / -0

The close-packing sequence ABAB____represents:

A
SC packing

B
FCC packing

C
Hexagonal packing

D
BCC packing