Solid state Questions and Answers

2013 11 The number of carbon atoms per unit cell of diamond unit cell is a 6 c 4 b 1 d 8 NEET 2013 12 A metal crystallises with a face centred cubic lattice The edge of the unit cell is 408 pm

5 The pure crystalline substance on being heated gradually first forms a turbid liquid at constant temperature and still at higher temperature turbidity completely disappears The behaviour is a characteristic of substance forming

35 The edge length of face centred unit cubic cells is 508 pm If the radius of the cation is 110 pm the radius of the anion is a 144 pm c 288 pm b 398 pm d 618 pm 1998 36 Schottky defect in crystals is observed when a density of the crystal is increased b unequal number of cations and anions are

3 In calcium fluoride having the fluorite structure the coordination numbers for calcium ion Ca and fluoride ion F are a 4 and 2 c 8 and 4 b 6 and 6 d 4 and 8 NEET II 2016 Lithium has a bcc structure Its density is

1 6 107 Pa KH Henry s law constant for N gas in water at 27 C 80 K bar In diamond crystal the ratio of number of carbon atom per unit cell and the numbe of C C bonds per carbon atom is Vander waal s gas equation may be expressed as

3 The number of atoms in 100 g of a fcc crystal with density d 10 g cm and cell edge equal to 100 pm is equal to a 2 1025 c 4 x 1025 b 1 1025 d 3 x 1025 1994 44 Ionic solids with Schottky defects contain in their structure

2 A metal crystallises with a face centred cubic lattice The edge of the unit cell is 408 pm The diameter of the metal atom is a 288 pm c 144 pm b 408 pm d 204 pm 2012 13 The number of octahedral void s per atom present in a cubic close packed structure is

1 If we mix a pentavalent impurity in a crystal lattice of germanium what type of semiconductor formation will occur a n type semiconductor b p type semiconductor c both a and b d None of these 1996 2 An element atomic mass 100 g mol having

PART III CH Copper crystallises in a structure of face 1 centerd cubic unit cell The atomic radius of copper is 1 28 What is axial length on an edge of copper A 2 16 C 3 94 B 3 62 D 4 15

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 occupie the atoms of element X dentify 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

maken the type of crystals Column 11 Column 01 KCI type crystal 02 ZnS Zinc blende type crystal with the appropriate relation involving edge lengin a radius of cation 14 and radius of anion r given in Column A1 5 4r A2 5 28 A3 2 1 03 CaCl type crystal 04 A B type crystal in which anion B forms simple cubic unit cell and cation A occupies all 44 2 G

Graphite is an example of Question Type Single Correct Type 1 lonic solid 2 3 Covalent solid Vander Waal s crystal Metallic crystal

In fcc arrangement the distance between adjacent layers of close packing is 81 65 pm then the smallest possible radius of a foreign atom that can be placed in a void is 50 00 pm

Column I contains different lattice types and column II different operations and properties of lattice Match the column I with column II Column I Q1 NaCl type lattice Q2 CsCl type lattice Q3 Na O type lattice Q4 CaF2 type lattice Column II A1 If all the ions along one of the C 4 axis are removed then the formula of lattice will be AB A2 If all the ions along one of the C 4 axis are removed then the lattice will lose all the cations A3 a 2 3 r r A4 Coordination number of at least one ion is 4 A5 If all the ions along one of the C 4 axis are removed then the lattice will become positively

2 Consider the FeO solid Due to strong heating some Fe ions get oxidised to Fe and the stoichiometry gets disturbed 3 3 It is found that out of 8 iron ions there are 7 Fe and 1 Fe ion present The formula of the given FeO solid should be Fe0 940 Feo 890 Fe0 970

In a unit cell atoms A B C and D are present at the corners face centres body centre and edge centres respectively If atoms along any one of the body diagonal plane of symmetry are removed then find out the formula of compound Question Type Single Correct Type 1 2 3 ABCD2 ABD2 AB2D2

22 If a body is executing simple harmonic motion and in 3 times the amplitude from 2 current displacements is its mean position then the ratio between potential energ and kinetic energy a 3 2 c 3 1 C is b 2 3 d 3 1

If three elements X Y and Z crystallise in a ccp lattice with X atoms at the corners Y atoms at the cube centre and Z atoms at the edges the formula of the compound will be a XYZ c XYZ b XYZ d X Y Z

Lithium has bcc structure Its density is 530 kg m 3 and its atomic mass is 6 94 g mol Calculate the edge length of a unit cell of lithium metal 6 02 x 102 mol a 264 pm c 352 pm b 154 pm d 527 pm 2016

A compound of A and B crystallises in a cubic lattice in which the A atoms occupy the lattice points at the corners of the cube The B atom occupy the centre of each face of the cube The probable empirical formula of the compound is a A B c AB b AB d AB

A compound is formed by cation C and anion A The anions form hexagonal close packed hcp lattice and the cations occupy 75 of octahedral voids The formula of the compound is 2019 a C A b C A c C A d C A

Consider the ions given below along with their size P 200 pm Q 300 pm R 350 pm w 100 pm x 150 pm y 200 pm Identify the incorrect statement O The solid wR undergo Frenkel defect O The solid yP undergo Frenkel defect O The solid xP undergo Schottky defect O The solid xQ undergo Schottky defect

If a is the length of the side of a cube the distance between the body centered atom and one corner atom in the cube will be AIPMT 2014 1 3 3 a a 2 4 a a

5 The intermetallic compound LiAg crystallizes cubic lattice in which both lithium and silver hav coordination number of eight The crystal class i 1 Face centred cube 2 Simple cube 3 Body centred cube LAX None of these

In a unit cell containing X2 Y3 and Z where X occupies 1 8th of tetrahedral voids Y3 occupies 1 2 of octahedral voids and Z2 forms ccp structure Then formula of compound is 1 X Y Z 3 XY Z 2 XY 74 4 XYZ

an element X has two crystalline forms P CSCI type and Q ZnS type zinc blende in which both the positions of cations and anions are occupied by the atoms o element X dentify 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

9 In a NaCl structure if positions of Na atoms and Cl atoms are interchanged then in the new unit cell 1 Na atom is present at body centre 2 Cl atom is present at face centre 3 Na atom is present in tetrahedral voids 4 Clatom is present in octahedral voids

The correct statement regarding defects in Re AIPMT 2015 crystalline solids is 1 Frenkel defect is a dislocation defect 2 Frenkel defect is found in halides of alkaline metals 3 Schottky defects have no effect on the density of crystalline solids 4 Frenkel defects decrease the density of J US

A crystal may have one or more planes o symmetry as well as one or more than one axis a symmetry but it has 1 Two centres of symmetry 2 Only one centre of symmetry 3 No centre of symmetry 4 Three centres of symmetry

A given metal crystallizes out with a cubic structure having edge length of 361 pm If there are four metal atoms in one unit cell what is the radius of one atom AIPMT 2015 1 108 pm 3 127 pm 2 40 pm 4 80 pm

Schottky defect Equal number of cations and anions are missing from their respective position leaving behind a pair of holes Density decreased C No is high L R R is high Electrically neutral Ex NaCl CsCl KCl KBr F Frenkel defect This type of defect A is created when an ion leaves its appropriate site in the lattice and occupies an interstitial site Density unchanged C No is low L R R is low Ex ZnS AgBr Electrically neutral AgCl etc Note AgBr shows both Schottl a is a SE W ar Ex K

An element crystallizes in FCC with edge length equal to 1600 pm Calculate maximum radius of an atom which can fill the tetrahedral void without distorting the lattice O 45 2pm O 90 2pm O 180 2pm 90 2A

AH Alattice H hyd sol For one mole of NaCl s lattice enthalpy 788 kJ mol and H 784 kJ mol from the sol MA hyd 788 kJ mol 784 kJ mol 4 kJ mol The dissolution of NaCl s is accompanied He literature L

Consider the FeO solid Due to strong heating some Fe ions get oxidised to Fe and the stoichiometry gets disturbe It is found that out of 8 iron ions there are 7 Fe and 1 Fe ton present The formula of the given FeO solid should be O FeO OF 0 Fe 0

Consider a 3 D close packing of ABAB type The radius of an atom is 100 dentify the correct statement s The distance between A B layor 163 3 pm The distance between B B layer 266 6 pm The distance between B A layer 133 3 pm The shortest distance between the Iwo aloms 163 3 pm 2233

Consider the three axis of symmetry mentioned below in a cubic close packing i C 2 ii C 3 iii C 5 Which of the given axes of symmetry lie on the body diagonal plane i and ii only ii and iii only i and iii only i ii and iii

Incorrect statement from the following statements related with FCC structure is Question Type Single Correct Type 1 This structure contains totally 8 tetrahedral voids in unit cell 2 In FCC structure atoms present at face centres contribute 75 in unit cell 3 In FCC structure co ordination number of atom is 12 In FCC structure a face centre and 3 corners 4

In a close packed structure in 3 D layer B has to be placed on layer A Layer A contains upper triangular voids and lower triangular voids Select the correct statement Atoms of layer B are placed on upper triangular void only Atoms of layer B are placed on lower triangular voids only Atoms of layer B are placed on upper and lower triangular void alternatively Atoms of layer B can be placed on either upper or lower triangular voids but not both

The total number of bravais lattice in 2 D crystal system is 5 A cubic system contain 9 planes of symmetry For monoclinic system abc and a 3 y 90 The packing efficiency of Diamond crystal is 68

In a cubic cell atoms A are present at corners while A atoms are missing from face centers B atoms are at edge centers and body center C atoms are present at the body center of each small cube edge length a 2 Then select the correct statement s a edge length cube Formula of compound is ABC2 If all the atoms along one of the body diagonal are removed then ratio of atoms A B C is 1 4 8 in resultant structure Ratio of A B C atoms effectively in a small cube is 1 4 8 In small cube only five corners are occupied

SolveLancer Test For which lattice system all 4 primitive face centered side centere and body centered lattice types are observed SolveLancer Test a Cubic b Orthorhombic c Tetragonal d Triclinic

In the close packed structure of AB type solid have cation radius of 75 pm what would be the maximum and minimum sizes of the anions which formed voids in unit cell A minmum 101 45 r maximum 303 3 pm B r minmum 105 45 r maximum 300 3 pm C r minmum 102 45 r maximum 333 3 pm 333 3 pm minmum 98 4 r maximum

0 76 CsBr possesses bec structure The edge length ms of the unit cell is 400 pm Find out the interionic distance 1 346 4 pm 2 200 pm

In a cubic crystal A present in non planer void with coordination number 6 if the radius of At is 100 pm then find the radius of anion in pm 1136 pm 2 645 pm 3 444 pm 4 None of these

39 50 How many unit cells of KBr are present in Imm volume of KBr KBr M 119 crystallizes in NaCl type of crystal lattice and its density is 2 75 g cm 1 2 78 x 10 9 2 6 02 x 102 3 3 4 x 10 8 4 None of these An atomic solid has hexagonal arrangement of

Perovskite is a mineral composed of calcium titanium and oxygen cations of titanium lie at the body centre oxide ions at the face centres and calcium ions lie at corners of a cubic lattice The simplest formula of the mineral is 1 CaTiO 3 CaTi 0 2 CaTi O 4 CaTiO

In a body centred cubic structure considering an atom at a corner the distance of this corner from the opposite corner at the end of the body diagonal is x While the distance of this corner from the body centre of the adjacent cell which shares a face with this unit cell of which the corner under consideration is not a part is y Which of the following is correct

4 64 2 13 If the radius of ions such as Mg2 Cs 02 S and C 13 3 Mg2 Cs 02 and fa 4 64 2 are 0 65 1 69 1 40 1 84 and 1 81 respectively Calculate the co ordination number of the cations in the crystals of MgS MgO and CsCl respectively will be sh 0 65 1 69 1 40 1 84 m 1 81 MgS MgO CCC 1 4 6 8 2 2 4 8 6 6x1034 3 8 6 4 4 None 9110 4x3 1416188 m 1 4 6 8 2 2 4 8 318 6 4 4 O 32 2 155 2 414 1 55 2 2 44 41 4 14

For the angles of the unit cells shown below the correct option is A Tetragonal 90 90 Y 110 B Hexagonal a 90 90 Y 120 90 90 Y 90 a C Triclinic D Orthorhombic a 90 90 Y 120

9 KCI crystallises in the same type of lattice as does NaCl Given that r r 0 55 and Na k 0 74 r K Na calculate the ratio of the side of the unit cell for KCI to that for NaCl 1 1 122 2 2 122 3 1 414 4 0 732 12 1 4 3 107