Solid state Questions and Answers

5 180 The number of atoms per unit cell in a simple cubic bcc an fcc unit cell respectively are 1 4 8 2 4 1 1 4 2 Mark for Review 1 2 4

d trigonal A solid AB has the Bions arranged as below If the A ions occupy half of the tetrahedral sites in the structure The formula of solid is a AB c A B We L b AB2 d A3 B 4 f forroelectric compound

Which of the following characteristic property is not associated with crystalline solids Sharp melting point Diffused and irregular edges Definite enthalpy of fusion Long range ordered arrangement

If an element X crystallises in bcc arrangement whose edge length equal to 400 pm then the radius of atoms X i 3 1 73 173 pm 149 pm 17 3 pm

In a compound atoms of element A forms ccp lattice and atoms of element B occupy of the octahedral voids and 8 WIN of the tetrahedral voids the formula of the compound wi 3 be A B3 A3B5 hr min A3B4 AB2

5 A compound CuCl has face centred cubic structure Its density is 3 4 g cm3 The length of unit cell is a 5 783A b 6 783 A De c 7 783 Y 2xn a x fKClis 1 9893 g cm and the length of d 8 783

1 11 III IV P Q R S T U Which of the following is correct combination of List I and List II O 111 S O IV P OI U NaCl structure O11 Q ZnS structure CsCl structure CaF2 structure a Distance between two nearest cations 2 a Distance between two nearest cations 4 Distance between nearest cation and anion a 2 Distance between nearest cation and anion Distance between two nearest anions a 2 Distance between two nearest anions 3a 2 3a 2

Potassium crystallizes in BCC lattice with cell length as a then which are correct stateme A Along one body diagonal effectively 1 25 atoms are present per unit cell B Along one face diagonal effectively 1 atoms is present per unit cell C If r is radius of atom then 4a 3r D Co ordination number of atoms in topmost layer is 8 For first order reaction

An element X has two crystalline forms P CsCl type and Q ZnS type zinc blende in which both the positions of cations and anions are occupied by the atoms of element X Identify the correct statement s Ratio of mass of unit cell of P type and of Q type crystalline form is 4 The ratio of packing fraction of P type and Q type crystalline form is 2 approximately The ratio of packing fraction of P type and Q type crystalline form is 4 approximately The ratio of density of P type and Q type crystalline form is 2 approximately

Consider a lattice whose plane passing through two opposite edges appears as A B A B B The formula of lattice is AxByC The value of x y z is Answer 0 01 02 03 04 05 06 07 08 09 0 01 02 03 4 05 06 07 9

The correct expression for packing fraction of sodium chloride if the ions along a face are diagonally removed is radius of Nat r radius of Cl r A B C D 13 8 r r 13 16 8 r r 16 3 13 8 r r 13 8 r r

An element atomic mass 100 g mole having BCC structure has unit cell edge 400 pm The density of the element is no of atoms in BCC Z 2 uch dra 31fuach R 100 g mole for BCC pm 2 FREAT 400 34 BCC Z THY H O O O iffa A 2 144 g cm B 5 2 g cm C 7 289 g cm D 10 376 g cm

Edge length of M X fcc structure is 7 2 Assuming M X contact along the cell edge radius of X ion is M 1 6A M X fcc 7 2 M X go X 3 A 2 0 B 5 6 C 2 8 D 38 Your Answer R fua f M 1 6

Which of the following has the highest melting point f fo A Ionic crystal Tafa fenced B Molecular crystal Tufan fanted C Metallic crystal eufraen fonted D Covalent crystal HERING fentent Your Answer A

6 The number of atoms in 100 g of an fcc crystal with 3 and cell edge as 200 pm is equal density d 10 g cm CBSE PMT 1994 M fv to a 3 10 25 c 1 1025 422405231 b 0 5 x1025 inbroder d 2 x1025 lont solid the units which occupy latti

I In chromium chloride CrC13 CI ions have cubic close packed arragement and Cr ions are present in the octahedral holes The fraction of the total number of holes occupied is a 1 3 b 1 6 68100

Choose the 1 Correct expression for density of unit cell of CsCl in terms of radius of Cs r and radius of CI r in pm and NA Avogadro s number is density is in g cm MCSCI 3 1 2 r r NA 2 3 4 2MCSCI 3 2 r r NA X10 30 McSci 3 2 r r NA X 10 2MCSCI 3 13 AL 12 I In 30

In NaCl structure CI form the C C P lattice Which of the following change in NaCl structure occur so that formula become Na3Cl2 Ignore electrical neutrality If particles along one body diagonal are removed If particles along two fourfold axis are removed Particle along one face diagonal plane is removed If particles along one fourfold axis are removed

2016 82 Lithium has a bcc structure Its density is 530 kg m and its atomic mass is 6 94 g mol Calculate the edge length of a unit cell of lithium metal N 6 02 1023 mol a 527 pm c 154 pm b 264 pm d 352 pm NEET Phono

49 The unit cell of a binary alloy composed of A and B metals has a ccp structure with A atoms occupying the corners and B atoms occupying centres of each face of the cube If during the crystallization of this alloy in the unit cell two A atoms are missed the overall composition per unit cell is a AB6 c ABg b ABA d A6B24 J K CET

36 A crystalline solid XY3 has ccp arrangement for its element Y X occupies a 66 of tetrahedral voids b 33 of tetrahedral voids c 66 of octahedral voids d 33 of octahedral voids Karnataka CET

52 A metal crystallises into a lattice containing a sequence of layers as AB AB AB What percentage of voids are left in the lattice a 72 c 26 b 48 d 32 JIPMER AMU Med 2012

Which one of the following statements is incorrect about rock salt type 1 It has fcc arrangement of Na 2 Na and Ctions have a co ordination number of 6 6 3 A unit cell of NaCl consists of four NaCl units 4 All halides of alkali metals have rock salt type structure

Assuming an element to be FCC of its constituent atoms and each atom is sp3 hybridized then which of the following statement is true A All voids are empty B 100 octahedral voids are filled C 50 octahedral and 25 tetrahedral voids are filled D 50 tetrahedral voids are filled

In a crystalline solid anion P are arranged in cubic close packing and cation Q are arranged in alternate tetrahedral voids If atoms along one of the body diagonal are removed The formula for the solid is PQ P Q PQ3

21 In the closest packing of atoms select incorrect statement 1 Coordination number of particles placed in of tetrahedral voids is smaller than octahedral voids 2 Size of tetrahedral void is larger than that of octahedral void 3 Size of voids depend upon size of atoms and tetrahedral void is smaller than octahedral void 4 Radius ratio for tetrahedral voids is smaller than octahedral void bhours of Na in NaCl crystal

A compound formed by elements P and Q crystallizes in a cubic lattice where P atoms are at the com and Q atoms are at the body centre and alternate face centres of the cube Formula of the compound is 1 PQ 2 PQ2 PO

1 g of charcoal having surface area 3 02 10 m is mixed in 100 ml of 0 5 M acetic acid solution after few times concentrations of solution becomes 0 49 M what will be surface area occupied one molecule of acetic acid A 2 10 m C 6 10 m B 5 10 m D 10 m

Potassium crystallizes in a body centred cubic lattice with edge length a 5 0A Then choose the correct statements in given option The number of nearest neighbour to any K atom is 8 The number of next nearest neighbour to any K atom is 6 Distance between nearest neighbours is 4 33 A Distance between next nearest neighbours is 5 0

In a compound A atoms are at FCC lattice positions B atoms are in all tetrahedral voids and C atoms are in all octahedral voids of this lattice Assume B and C are of appropriate size so that there is no distortion in FCC lattice Find correct statement s Empirical formula of the compound is AB C In this compound B atoms will be touching the C atoms If atomic masses of A B and C are 20 30 and 40 respectively then mass of unit cell is 480 amu If radius of A atoms is 200 pm edge length of unit cell is 4 2

The Ca and F are located in CaF crystal respectively at face centred cubic lattice points and in 1 Tetrahedral voids

The yellow colour of ZnO and conducting nature produced in heating is due to 1 Metal excess defects due to interstitial cation 2 Extra positive ions present in an interstitial site 3 Interstitial electrons 4 All of the above

In a hexagonal close packed structure which is ABAB type of packing select the correct statements Three fold axis of symmetry is present Six fold axis of symmetry is present All the octahedral voids are present entirely inside the unit cell and are not shared between adjacent unit cells All the tetrahedral voids are present entirely inside the unit cell and are not shared between adjacent unit cells

In a hypothetical solid C atoms from CCP lattice with A atoms occupying all the tetrahed voids and B atoms occupying all the octahedral voids A and B atoms are of the appropri size such that there is no distortion in the CCP lattice Now if a plane is cut as shown th the cross section of the plane would not be like A CBX C B B B B CCP unit cell B B B 00 Plane D OOO B COC

A and B will result The correct statement s is are ST The distance between two nearest octahedral voids of a cubic closed packing of atoms with radius r is 2r B The distance between two tetrahedral voids of a cubic closest packing of atoms with radius r is 6 r at the body diagonal axis C The distance between tetrahedral and octahedral void is 1 5 r where r is the radius of atom forming the closest cubic packing D The distance between the surfaces of atoms in fcc arrangment along an edge is 2 2 1 ven properties

al lattice cture to high pressure tions of positive and tice The density of crystalline sodium chloride is 78 5 85 g cm 3 What is the edge length of the unit cell 14 06 x 10 8 cm 2 1 32 x 10 14 cm 4 9 6 x 10 24 3 7 8 x 10 23 A unit cell of sodium chloride has four formula units 79

c 4 d 5 19 If a crystal of LiCl has two F centre sites per unit cell then which of the following cannot be the ratio of number of effective Lit number of effective Cl ions Assuming NaCl type structure a 1 33 b 1 06 c 2 b d 1 18

d 415 pm 39 Edge length of unit cell of Chromium metal is 287 pm with bcc arrangement The atomic radius is the order of a 124 27 pm b 287 pm c 574 pm d 143 5 pm D In the ionic comu

In gravimetric analysis the ideal product should be very pure insoluble easily filterable and should possess a known composition very pure soluble and should possess a known composition very impure soluble and should possess a known composition pure insoluble easib able and should possess an unknown composition

Efficiency 74 41 If the distance between Nat and Cl in NaCl crystal is 265 pm the edge of the unit cell will be a 265 pm b 795 pm c 132 5 pm d 530 pm 42 Sodium metal crystallises in bodu 2 2r Packing

1 AB 2 A B 4 3 A B3 4 A zB n A FCC crystal of O 2 oxide ions has Mtn ions in 50 of octahedral voids then the value of n is 1 2 2 3 4374 4 1 If the edge length of a KCl unit cell is 488 pm what is the length of KCl bond if it crystallises in the FCC

d A Y 2 21 If in a crystal lattice of a compound each corner of cube is enjoyed by sodium each edge of a cube has oxygen and centre of cube is enjoyed by Tungsten W then give its formula a Na WO4 c Na WO3 b NaWO d Na WO

2 The simplest formula of a solid having CCP arrangement for A atoms in which alternate face centres are occupied by B atoms and alternate edge centres are occupied by C atoms is a ABC c A BC b A BC d A B C

CABC d ABCAABCA 26 Salt AB has a zinc blende structure The radius of A2 and B ions are 0 7 and 1 8 respectively The edge length of AB unit cell is a 2 5 b 5 09 A c 5 d 5 77 C

Partial Marks 3 If all the four options are correct but ONLY three option Partial Marks 2 If three or more options are correct but ONLY two optie Partial Marks 1 If two or more options are correct but ONLY one option Zero Marks 0 If none of the options is chosen e the question is unans Negative Marks 2 in all other cases For Example If first third and fourth are the ONLY three correct option options without selecting any incorrect option second option in this cas Selecting any incorrect option s second option in this case with or with In a rock salt structure of AB select the correct options s A is forming foc while B is going to all octahedral void location Bis forming foo while A is going to all octahedral void location O 2a 4r must be correct must be correct

27 IfZ is the number of atoms in the unit cell that represents the closest packing sequence ABC ABC number of tetrahedral voids in the unit cell is equal to the b 2Z a Z c Z 2 d Z 4 I

10 In an ionic compound A X the radii of A and X ions are 1 pm and 2 pm respectively The volume of unit cell of crystal AX will be a 27 pm c 125 pm b 64 pm d 216 pm

In CCP there are 8 tetrahedral sites and all are present completely inside the unit cell There are 13 octahedral sites out of which 1 is at the body centre and 12 are at edge centres Like CCP another packing is HCP in which the number of tetrahedral sites that are completely inside one unit cell is x Mark the value of x Assume those sites are completely inside the cell that are not shared between unit cells Answer 00 01 02 03 04 05 06 07

If atom A is ideally fit in an octahedral void formed by atom B which crystallizes in fcc structure of radius 1 42 then what will be the minimum distance between centers of A and B in Use 2 1 41

Consider a corner atom of Ist layer of an HCP unit cell showing alternate AA layers Find i Find identical atoms III layer with respect to the distances from the atom 1 ii Arrange the distances in ascending order f a og slo Atom 1 O d b Layer A Layer A