State

Solid of per Determine this cell

is square
a distance
number atoms 81
in the 8
cubic,
atom
length
of of isthe
coordination of -
be mm.
cm3 no.
(4) wil
structure
hcp
zinc of centre centred
these (4)
Body300pm.
these 1022 10-24then 0.574 of ABCAABCA What
triclinical
(4) sphere atom edge
.
The the
of x
12.08 None
× atoms 32%
(4) is on
have none 6.6 cell neighbouring rests
each9(4) (4)
silver (4) (4) (4) two 9(4) unit (4)
1.73 layer iselement
the
of the
be contain no.
structure number.
12
cubic,
and will of is
atoms
two the
next
co-ordination
edge of
#-1lithium face-centred
Home
Assignment (3)
cube cell cm3 diagonal coordination -256688
No, ABCABCABC centred
Face
(3) atom
an
of
(3) unit 1023
1023
48.38x cubic the in
both rhombic
(3) where 4059(2) structure
mm 0.2bU the 142.2 pm
(3) sphere
of simple 01572
volumex
6.02 body 30%
(3) then (4)
none between
apprgach
whích
(3)
4 8(3) atoms HCP 6 (2) 12
(4) or a the of radius
Ph,
(3) each group
(3) packing (3)
fraction that
find Sikar,
in then s has such
lattice and of and The
cell arrangment it Road,
Å, corners crystal close Cooling, void other 8cubic,
arrangement
cubic be 3.04 unit nuclei. structure.
closest
of Piprali
cube
body-centred
(2) will is cm3 which cubic to hexagonal
rise
a
have of
in cell 10-23 each potassiumhy
face-centred pm fop centred
(2)
V3/42 Face
(2)
6004
=pm
crystallizes cells 1023 and (2) centredgive
structure
fcc
(2) state ABBAABBA
(2) Nagar,
as to hexagonal
will the packed
unit x unit at
nmrelated layers a patterndistance
the of
on vpe Jyoti
24.16 x present
of 2.81
represented %28
(2) in solid
arranged close
bcc =0.504 body other two (2) Ltd.,
12.08x1023 edge 6
(2) packed 6
(2) into the
LiAg (2) (2) are is a layering
It ina in any has layers?
Identifytype
ABAB... Pvt.
compound & each crystallizes
metal converts structure.
If
structure atoms is c 120°. of are Institute
is: and
compound space close to separation following sheets
ale
packed adjacent
class y=
0.387 upon layer.
in cm3 structure, zinc 6
Gurukipa crystal atoms1023 bcc
intermetallic cube
simple
(1)
have
10-21 be
a
b=
and
free
of
90° Percentage
square
structure
(1)
bcc are mm(3)
(1) mm be
0.04059
0.4059
shortest
Potassium
-
molton
will
(1)
ABCCBAABCbcc
the noodiidsa previous two
cubic,
200pm Simpleeeinent
Career
INSTITUTE
CAREER totalx
12.08 cubicwill
of =0.387,cubic
(1) 34%
of layers structure of
(1)
between Gurukrip
The Ametalx1.6 cell a=B=
cell (1) Stacking When (1)4 Which tne
eight. (1)8Unit Iwo(1)4 the 8(3)
ofNo, (1) (1)
The (1) Ina
unit In
a 10.
) 3. 4, 6. 7. 8. 9.
5.
 located spheres
and
taoms d (Atom
successive
hollowcell
d,> unit 1
(4)
trigonal d,g> 4and 0.268
(4) in ain 17
are present None
(4)
|16 3
are by~
other 2
(4) (9) iA Radius
by
co-ordinates given(4) unoccupied 3
:between each are 15
is 2
order touching A20.
solid 14
three distances 2 -256688
Their
The monoclinic
(3)
¢C=9.48A. the cell. >
d
> not
d, atoms 1(3) a
and2
Å. 6cD12a of B
of
Spheres
spheres
12
13
ANSWER-KEY
01572
4
=
length (3)2 0.134
(3) 1
be unit dg 12097 a -atoms ofB.of (3) 11 Ph.
d, a (3) The 60y volume 3
inrespectively Side 120 spheres Sikar,
below. 10
741 d
d, by 4
Road,
,b= let
3 ?
volume covered total
shown 600 hollow 9 1
Piprali
5.62
(2) arrangement,
orthorhombic d,
diagonal not
of
ratio 8 4
> as its of the Nagar,
= d numbered 1(2) is
and3 What is up 7 3
a
are bodydig> edge
(2) madeis 73128 Jyoti
a(2) of 0.16 4
2
(BCC) shown. What
crystal
the (2) fraction is (2) 2 Ltd.,
cubicface-diagonal, lattice
B. 5
Pvt.
is
a crystal atoms is of
ofparameters centred face). cell radius 4 4 Institute
what cubic
Gurukrpa) The
(1) bodythe dyo
tetragonal
cell, front unit
rhombohedral bcc, centered
of
half
3 2
Career
CAREER other.
NSTITUTE < unit of atomic 2 2
lattice a edge,dy f.c.c.centre -cell
each Consider <
d,
4and
(1)3
(1) bodyisA
0.32 64 1Qus. 2 Gurukrip
The unit
(1) an
|Ans.
to the (1) an face
In of (1)
In A
15. 16. A
17. 18. 19.
 Solid
State holes. is
void
One
83
respectiveiy.
tetrahedral tetrahedrai
is Zrions.
it
(4) by
Unpredictable 0.22
formed nm
available (4)
CaF,
type than
into(4)
0.732
, 140
four (4)
Caf, offollowing
A itted
(4)4,
2 of crystal less by 0.
and
the number surrounded what
so
can
(4) the 0.066
1/2
of ionic be - g. voids r)
B
it
that
occupy
co-ordination
of will 8&0.22 1.00 statementtetrahedral
voids are -256688
structure ratio is mass
2 0.41 ion - 1021 102! voids octahedralatoms 0
the
and
- ions radius structure
of (3)
0.414
r, 01572
# the of
type between S
(3)
ZnS each NaCl x x correct octahedral
the
oCcupy A
of Mg*
Assignment (3)
CsCI 5.14 1.71
Ca* (3)
4,4 type then of the into be
radius
loosely for
Ph.
Predict and ccp of the
which 8
(3) (2) (4) half radii Sikar,
Possible 6 (3)
tetrahedrally forms crystal Indicate all atorns
the structure
structure
is precisely voids
precisely structure
in - pm. no. into ionic Road,
ionscell ion
is
230 respectively. 0,41
co-ordination
cation ideal and
fit
the will
unit 0.414.fit The packed
packed Piprali
and structure shaped exactly occupy packed
S ions these system. Nagar,
of the
Home arrangement is structure
in 0.73 structure cations packing
cations
cations close closeclose
of cube anions (radius(2)
0.225
r, occupy
containedB of A NaCl
2.16(2)
type between S
Zinc-blende which i crystal Jyoti
& four cubiccublccubic
that
and
pm AX a 35.5) ratioand and and Ltd.,
Zinc-blende (2)
ZnS in ions cubic
42,(2) and is by structure CsCI, present type a a
packed
are 6(2) crystal
(2) Surrounded = the packing packing
packing in in a Pvt.
1.46 structure Mat
cubic simplehole in
for and Cl holeholeGurukripa
Carear
Institute
ions 23, AB of
are ionic wrong
close
110 Zinc-blende
has Caf,
are
= closeclosedose closepacking a the a tetrahedral
compound octahedral
tetrahedral
S is I 0.73 cells Na inthatin
crystallizesi
Gurukripa agbic
INSTICAREERTUTE
and
Cat
A
the
Rband ofa
formula
is ionis fcc
thanstatement forms
halideZnS,
has Cuprous
unit masses
NaCl,
1021 1021 formfornformforrn
x ionicCations Anions
Anions
closest
Anions
(1)0.155
ra
hole
conclude
cubic
(4)every
everyhalf
in many of
radius of CsCl
type
(1) greater Zn ion AgBr
many x
2.57 1.28
adii Each Among (1)
NaC (Atomic the a
Mg0càn (2)
uow
11,(1)
The
(1)4 .fenic
Coneral
Which
(1) S(2) (3) (4)
HOw
the
(1) (3) In (1) (2) (3) (4) In
(5) (9)
(1) 10.
8. 9.
6. 7.
2. 5
Gurukripo
tnade up of
11 The unit cell of diarnond is
t4E Cahrn atornc, 4 atorns Costitute ccp and hwo atons OcrUOy haif of octahedral voids
octahedral voide
(2)8Carhbon atons, 4 atorns Constitute ccp ad 4 atons oupy afl the
atone fortn fce lattice and 4 tOms orcuoy haif of tetrahedral voids
(3) BCarbon atoms, 4
atoms form fce attice and8atomsouoy all the tetrahedral voids
(4) 12Carbon atoms, 4
cryetal of the followng compounde -
13 Drerlid coordination number of the cation in
,, -140 A () Mgs:r, - 0.65 Å;r, - 184 A
(i) Mo0, = 0.65
(2)4, 6 (3) 3, 4 (4) 6,8
(1)6,4
have body-centered cubic unit cell ifr ir
13 An ioniccompound is expected to
0.732
(1)is greater than
0.414to 0.732
(2) lies in the range of
0.225 to 0.414
(3) lies in the range of
0.155 to 0.225
(4) lies in the range of ion is
each Na'
number of next nearest neighbours of
14 In sodium chloride crystal, the
(2) 12 Na ions (3) 12 Ct ions (4) 24 Cr ions
(1) 8 C ions
nearest Na'ion ie
of sodium chloride, the distance between two
15 Ifais the edoe iength of unlt cell
(2) 2 a (3) V3 a (4) a/42
(1)8 22Som h
lattice with unit cell edge length of 480pm. If the radius of Yis
16. Acompound XYcrystallizes in BCC
of X* is -
(3) 127.5pm (4) None of these
(1) 190.68pm (2) 225pm
A.Assuminganion-anion contact. theiont
(just like NaClstructure) is 5.14
17. The unit cellcube length for L
chioride ion is
(3) 3.8A (4) None of these
(1)1.815A (2) 2.8 A
cubic lattice with edge length of unit cel equal to 387 om. Iftrese
18. Ammonium chioride crystallizes in a body-centered
would be
Ct ion is 181 pm, the size of NH; ion
(9) 206 pm
(2) 154 pm (3) 174 pm
(1) 116 pm
structure. If the radius At is 22.5 pm, then the radius of B WOUid te
19. An ionic compound AB has ZnS type (4)Noneofthese
(2) 100pm (3) 145.16pm fourdtoie
(1) 54.35pm thattheyare
such octahedralvod. e
cellto meet the other corner
20. Three lines are drawn from a Single corner of an FCC unit tetrahedral voids with l
exactly 2
through exacty only 1octahedral void, no voids of any type and
the line in the same order.
Edge, bodydiagonal
(1) Edge, face diagonal, body diagonal (2) Facediagonal,
diagonal, facediagonal
(3) Body dlagonal, face dlagonal, Edge (9) Edge, body

Gurukripa Carer Institute Pvt. Ltd, Jyoti Nagar, Piprali Road, Sikar, Ph. 01572 -256688
 Gurukripa
CAREER INSTITUTE
Solid State
Exercise -3 [Previous Year AIEEE/JEE(Main) Questionsl
1. How many unit cells are present in acublc shaped ldeal crystal of NaCl of mass 1gm -
(1) 5.14 >x 1021 (2) 1.28 x 1021 (3) 1.71 x 1021 (4) 2.57 x 1021 (AIEEE 2003)
2. Anionic compound has a unit cel consisting of Aions at the corners ofacube and Bions on the centressofthe
cube. The empirical formula for this compound would be
faces of the
(2) A,8 (3) AB
(ATEEE 2005)
(1) A8 (4)AB
3. Total volume of atoms present in a face centred cubic unit cellof a metal is (r is atomic radius)
(AIEEE 2006)
(2) 316 20r 24
(1)r (3) 3 (4)r
4. Ina compound, atoms of elements Yfrom ccp lattice and those of element Xoccupy 2/3rd of tetrahedral volds, The formda
of the compound will be - (AIEEE 2008)
(1) X,Y (2) X,Y, (3) X,Y, (4) X,Y,
5. Copper crystallises in fcc with a unit celllength of 361 pm. What is the radius of copper atom ? (AIEEE 2009)
(1) 108 pm (2) 128 pm (3) 157 pm (4) 181 pm
6. The edge length of a face centred cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius
of the anion is: (AIEEE 2010)
(1) 288 pm (2) 398 pm (3) 618 pm (4) 144 pm
7. Percentage of free space in cublc close packed structure and in body centered packed structure are respectively:
(AIEEE 2010)
(1) 30% and 26% (2) 26% and 32% (3) 32% and 48% (4) 48% and 26%
8. Ina face centred cubic lattice, atom Aoccupies the corner postion and atom Boccupies the face centre positions. If one
atom of Bis missing from one of the face centred points, the formula of the compound is (ATEEE 2011)
(1) A,B, (2) A,B, (3) A,B (4) AB,
9. radius fo the lithium will
Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic
be
(AIEEE 2012)
(1) 152 pm (2) 75 pm (3) 300pm (4) 240 pm
[(JEE(Malin)-2013]
10. Which of the following exists as covalent crystals in the solid state -
(1) Iodine (2) Silicon (3) Sulphur (4) Phosphorus
11. CsC crystalises in body centred cubic lattice. If'a' is Its edge length then which of the following expressions is corect ?
[JEE(Maln)-2014]

(2) ros +rg- = V3a (3) rot to- =3a (4) os +ar 2
4.29 A. The radius of sodium ato
12. Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of [JEE(Main)2015]
approximately -
(1)0.93 Å (2) 1.86 Å (3) 3.22 Å (4) 5.72 Å
[JEE(Main)2016]
13. Which of the following compounds is metallic and ferromagnetic?
(1) Cro, (2) VO, (3) MnO, (4) TIO, between
appproach
14. A metal crystalises in aface centred cubic structure. If the edge length of its unit cell is'a, the closest
(JEE(Main)2017]
two atoms in metallic crystal will be -
(1) /2a (4) 2/2a
(2) (3) 2a

Gurukripa Caraer Institute Pvt. Ltd., JyotiNagar, Piprali Road, Sikar, Ph. 01572 -256688
 GUrukripa
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15. Which Ype of defect' has the presence of cations
in the Solid State
(1) Metal deficiency defect interstitial sites- [JEE(Maln) 2018]
(3) Vacancy defect (2) Schottky defect
. Theone that is
extensively used as a piezoelectric material is(4): Frenkel defect
(1) Quartz (2) Amorphous silica [JEE(Main) 2019]
(3) Mlca
17. At:100°C, copper (Cu) has FCCCunit cell structure with cell (4)Tridymite
cm-3) at this temperature ? [Atomic Mass of Cu = 63.55u)
edge length of x ¢. What is the
approximate density of Cu (in g
105
(2)
211 [JEE(Main) 2019]
(1) (3) 205 (4)
422
Lteh nremitive unit cell has unequal edge lenghs
(a#bc) and allaxial angles differetn from 90e?
(1) Tetragonal (2) Hexagonal (3) Monoclinic [JEE(Main) 2019]
(4) Triclinic
nnund of formula A,B, has the hcp lattice. Which atom forms the hcp lattice and
what fraction of tetrahedral yojds is
oCcupied by the other atoms:
[JEE(Main) 2019]
2
(1) hcp lattice-A Tetrachedral voids-B (2) hcp lattice-B 3 Tetrachedral voids-A
2 1
(3)hcp lattice-B 3 Tetrachedral voids-A (4) hcp lattice-A 3 Tetrachedral voids-B

1Acolid having density of 9x10 kg m² forms face centred cubic crystals of edge length 200v2 pm. What is the molar mass
of the solid ? (Avogadro constant=6 x 103 mol-, r=3) [JEE(Main) 2019]
(1)0.0216 kg mo (2) 0.0305 kg mot1 (3) 0.4320 kg mol-! (4) 0.0432 kg mol
the edge of body centred cublc unlt cellis:
1The radius of the largest sphere which fits properly at the centre of
[JEE(Main) 2019]
(Edge length is represented by 'a') : (4) 0.047 a
(2) 0.027 a (3) 0.067 a
(1)0.134 a
'A'occupies half of the octahedral voids, whille oxygen atoms occupy all the terahedral
Element 'B' formsccp structure and [JEE(Main) 2019]
Volds. The structure of bimetallic OxÍde is -
(3) AB,O, (4)AB0
MBO, (2) A,B,0 position of atoms as shown below. The radius of atom Bis twice that
Onsder the bce unit cells of the solids 1 and 2 with the packing efficency in solid 2?
1. What is the approximate
Vatom A.The unit cell edge length is 50% more in solid 2than in [JEE(Main) 2019]

A
A
A

A
A

A A
A A Solid 2
Solid 1 (4)659%
(3)45%
75% (2) 90% 103

412 256688
 Gurukripa
CAREER INSTITUTE
24. The ratio of number of atoms present in a simple cubic, body Solid State
centered cubic and face centered cubic structure are
respectively:
(1) 8:1 :6 (2) 4:2:1 (3) 1:2:4 (4) 4:2:3
[JEE(Main) 2019]
25. Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?

(1) AgBr (2) ZnS

[JEE(Main) 2020]
(3) KBr (4) CsCI
26. The number of octahedral voids per lattice site in a lattice is .(Rounded off to the nearest integer) [JEE(Main) 2021]
27. Acertain element crystallises in a bcc lattice of unit cell edge, length 270Å. If the same element under the same condtions
crystallises in the fcc lattice, the edge length of the unit cell in Åwill be.....
(Assume each lattice point has a single atom) [JEE(Main) 2021]
[Assume 3= 1.73, 2= 1.41]

Answer-Key 15 16| 17
18| 19 20
45 67 8 9 10 11 12 13 14 4 2 |2
Qus. 1 2 3 4
1 2 4 1
|Ans. 4 1 2 3 2 4 2 2 1 2 1 2

Qus. 21 22 23 24 25 26 27
|Ans. 3 3 2 3 1 1 33 104

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