Solid state Questions and Answers

An element density 6 8 g cm3 occurs in bcc structure with cell edge of 290 pm Calculate the number of atoms present in 200 g of the element A B 24 12 x 1023 5 05 1021

WBSU Year 2011 1 a What do you mean by Compton effect A beam of X rays is scattered by loosely bound electrons of a target through 45 to the direction of the beam What is the amount of Compton shift rest mass of the electron 9 109 10 31 kg h 6 625x10 34 J s 4

Q16 The arrangement ABC ABC is referred to as 1 octahedral close packing 2 hexagonal clase packing 3 tetrahedral close packing 4 cubic close packing 1 2 55 3 From NCERT 4

5 A crystalline solid is made up of A B and C elements Atoms of A form fcc packing atoms of B occupy octahedral voids while atoms of C occupy tetrahedral voids Select the simplest formula if atoms are missing from one of the body diagonal 1 ABC 3 A5B4C8 2 AgB4C5 4 A BC 42 I t th e th fo 1 3

a Describe Frenkel defect by drawing suitable schematic diagram b Calculate the number of vacancies created when a given sample of sodium chloride is doped with 2 X 10 5 mol of aluminium chloride c Sample of KCI appears violet when it is heated in atmosphere of potassium vapours why d Zinc oxide crystal appears yellow on heating explain e What is the effect on density if a crystal is found to possess Schottky defect

2 In a hypothetical cubic lattice A atoms occupy the corners B atoms the face centers C atoms the body center and D atoms are present at the edge center sites If all the atoms lying on one of the diagonal planes are removed the empirical formula of the unit cell will be 1 A B4D5 3 AB4CD4 2 AB4D5 4 A B3D4

A solid is made up of three elements P Q and R Atoms P are in ccp arrangement Q atoms occupy 12 5 of the tetrahedral sites and R atoms occupy 50 octahedral voids What is the formula of the compound 1 Q RP 3 PQR 2 QR P4 4 P Q R

3 4 6 If radius of Zn 2 is a and that of S 2 is b then body diagonal of CCP lattice ZnS will be 1 4 a b 3 3 a b 2 2 a b 4 3 a b 2

4 6 9 A crystal is made of particle x y and z x forms f c c packing y occupies all the octahedral voides of x and z occupies all the tetrahedral voides of x If all particle along one body diagonal are removed the formula of the crystal would be 1 xyz2 2 X2YZ2 3 X Y ZE 4 M

30 In a face centered cubic arrangement of A and B atoms A atom are at the corner of the unit cell and B atoms at the face centres One of the B atoms is missing from one of the face in unit cell The simplest formula of compound is 1 AB3 3 A B5 31 The fraction of the total volum 2 AgB5 4 AB 2 5

A cubical crystal is such that the corners atoms are occupied by P atoms face centers are occupied by Q atoms alternate tetrahedral voids are occupied by R atom and edge centers are occupied by S atoms Based on this identify the correct option s If there are no defects in the crystal then the empirical formula should be PQ3R4S3 If all the atoms lying on one of the body diagonal are missing then empirical formula should be PQ4R8 3S4 If all the atoms lying on an axis passing through a face centre of connecting edge centers are missing then empirical formula should be P Q RS5 If all the atoms lying on an axis passing through body center and connecting opposite face centers are missing then empirical formula will be PQ R4S3

A cube has x triads Y diads and Z tetrads what will be the sum of X Y Z 1 23 2 13 3 14 4 9 In cubic lattice atoms are arranged A at corners B 11

Solid State 74 What will be the sum of number of octahedral voids and tetrahedral void in the shaded plane if unit cell is of c c p type 1 3 3 0 2 4 4 None of these

Q 4 Draw the neat and clean diagram of tetrahedral void in CCP structure octahedral void in BCC structure 3 Q 5 The composition of sample wurtite is Fe0 930 What persentage of the Fe exist in Fe ion

Q 7 Co ordination number in tetrahedral and hcp arrangements of metal atoms are respectively a 6 6 b 12 6 c 8 6 d 4 12 Q 8 For squire planer structure co ordination the radius ratio r r should be a 0 155 0 225 b 0 225 0 414 c 0 414 0 732 d 0 732 1 00

Pls tell the easiest way to sdolve this problem 3 7 FeO crystallises in NaCl type lattice The crystal is however non stoichiometric as Fe 0 960 and deficient in iron Some cation sites are vacant and some contain Fe so that it becomes electrically neutral The of cation sites vacant are LE

Element B forms ccp structure and A occupies half of the octahedral voids while oxygen atoms occupy all the tetrahedral voids The structure of bimetallic oxide is JEE Main 2019 SAJ AB 04 C A B 0 B D A4B O A BO4

Iron exhibits bcc structure at room temperature Above 900 C it transforms to fcc structure The ratio of density of iron at room temperature to that at 900 C assuming molar mass and atomic radii of iron remains constant with temperature NEET UG 2018 A G 3 2 3 3 4 2 B D 4 3 3 2 1 2

When NaCl molten is dopped with 105 mol 54 of AICI what is the concentration of cation vacancies 1 6 02 10 6 mol 2 12 04 107 mol 3 6 02 10 7 mol 4 12 04 106 mol NaCl 10 AICI f at aft 1 6 02 x 10 mol 2 12 04 10 7 mol 3 6 02 10 7 mol 4 12 04 10 6 mol d

AB crystallizes in a body centred cubic lattice with edge length a equal to 387 pm The distance between two oppositely charged ions in CBSE PMT 2010 the lattice is A 335 pm C 200 pm B 250 pm D 300 pm

In a face centred cubic lattice atom A occupies the corner positions and atom B occupies the face centre positions If one atom of B is missing from one of the face centred points the formula of the compound is AIEEE 2011 A A B3 C A B BA B5 D AB

Consider a cube containing in unit cells of a cubic system A plane ABCD obtained by joining the mid points of the edges on one of its identical faces had atoms arranged as shown Let p be the packing fraction Choose the correct option 22 A n 1 P 212 C n 8 p B n 8 p D n 1 p 11 3 28 D A B Arrangement of atoms

3 For a reaction consider the plot of ln k versus 1 T given in the figure If the rate constant of this reaction at 400 K is 10 5s then the rate constant at 500 K a 10 4 1 c 10 6 s l In k Slope 4606 K 1 T b 4 x 10 4 S d 2 x 10 4 S

Na and Mg crystallize in bcc and fcc type crystals respectively then the number of atoms of Na and Mg present in the unit cell of their respective crystal is A 4 and 2 C 14 and 9 B DY 9 and 14 2 and 4

In a cubical close packing structure of mixed oxide the lattice is made of oxide ion 20 of the tetrahedral voids are occupied by X ion and 50 of octahedral voids are occupied by Y ion The formation of the oxide is Only one correct answer A X2Y203 B XY204 C X4Y5010

In a solid oxide ions are arranged in ccp cations A occupy 1 8 th of the tetrahedral voids and cations B occupy 1 4 th of the octahedral voids The formula of the compound is uestion Type Single Correct Type 1 ABO4 2 3 AB203 A B04

At T K copper atomic mass 63 5 u has fcc unit cell structure with edge length of x 3 What is the approximate density of Cu in g cm at that temperature NA 6 0 x 1023 mol AP EAMCET Engg 2019 B D A Se 42 3 423 3 x 4 23 x 212 x

CsBr has bcc structure with edge length 4 3 The shortest interionic distance in between Cs and Br is Question Type Single Correct Type 13 72 2 1 86 3 7 44 4 4 3

The atoms of element Y form hexagonal close packing and the atoms of element X occupies 2 rd portion of the number of tetrahedral voids 3 Write the formula of the compound formed by X and Y GUJ CET 2014 B X Y D X4Y3 A X Y2 C X3Y4

A metal has a fcc lattice The edge length of the unit cell is 404 pm The density of the metal is 2 72 g cm The molar mass of the metal is No Avogadro s constant 6 02 x 10 3 mol NEET 2013 t A 40 40 g mol 27 g mol B D 30 g mol 20 g mol

A non stoichiometric compound Cu S is formed 48 due to the incorporation of Cu2 ions in the lattice What is the mole percentage of Cu present in the compound 1 88 88 3 63 5 2 89 8 4 11 11 Cu SAAT Srcerfenfudiar a Cu Cudai fana ft grit 1 88 88 3 63 5 2 89 8 4 11 11

The density of solid argon is 1 65 g per cc at 233 C If the argon atom is assumed to be a sphere of radius 1 54 x 10 8 cm what percent of solid argon is apparently empty space Ar 40 b 38 a 16 5 c 50 d 62

530 kg m Lithium has a bcc structure Its density is and its atomic mass is 6 94 g mol Calculate the edge length of a unit cell of lithium metal No 6 02 x 10 3 mol 3 A 527 pm C 154 pm NEET P I 2016 264 pm B D352 pm

Iron crystallizes in BCC structure with a 68 unit cell length of 360 pm The radius of iron atom is 1 127 pm 3 156 pm 2 140 pm 4 165 pm 1 17 2 20 3 18 4 19 STRIEBCC FEAT faca santafe if you 360 pm at from 1 127 pm 3 156 pm 2 140 pm 4 165 pm

An alloy of Cu Ag and Au is found to have copper constituting the ccp lattice If silver atoms occupy the edge centre and gold is present at body centre the alloy has a formula A Cu4Ag2Au C Cu4Ag3Au B Cu4Ag4Au D CuAgAu

d 0 008 If all the lattice points of an FCC structure are occupied by uniform hard spheres that touch each other the fraction of volume occupied is a T 2 6 b T 3 6 c IT 6 d 2

In a solid oxide ions are arranged in CCP one sixth of the tetrahedral voids are occupied by A cations and one third of the octahedral voids are occupied by B cations The formula of solid is Question Type Single Correct Type 1 2 3 ABO ABO2 ABO3

The theoretical density of ZnS is d g cm If the crystal has 4 frenkel defect then the actual density of ZnS should be uestion Type Single Correct Type 10 96 d g cm 2 3 4 1 04 d g cm d g cm da cm

If a stands for the edge length of the body 50 fe fa centred cubic simple cubic and face centred cubic systems than the ratio of radii of the spheres in these system will be respectively 3 1 a 2 a a Va 3 3a la a 4 3a a 3 1 1 a 2 a a a 3 3a 1a a 4 3a a a

For a dilute solution containing 3 2 g of a non volatile non electrolyte solute in 100g water the elevation in boiling point at 2 atm pressure is 3 C Assuming concentration of solute is much lower than the concentration of solvent the vapour pressure mm of Hg of the solution is Take K 0 76 K mol kg a 724 c 742 b 740 d 718

In BeO Zinc Blende structure Mg is introduced in available tetrahedral voids Then ions are removed from a single body diagonal of the unit cell What will be the molecular formula of the unit cell A Be4Mg4O4 C Be3Mg303 B D Be Mg4O2 Be3Mg303 75

A compound X Y form crystal in which anion Y form hexagonal closes packing and cation occupy only two third of octahedral hales Its P E P is A 74 9 B 74 C 77 6 D 72 A compound XY O form crystal in which oxides form cubic closest backing X ion occupy in one eighteen of tetrahedral voids and Y3 ions occupy one half of octahedral voids Hence P E P of crystal

Two consecutive irreversible first order reactions can be represented by k k2 C k A B The rate equation for A is readily integrated to obtain A A o e kit and B 1 At what time will B be present in maximum concentration a k 1 1 k k k k k k k 2 When k 1s and k 500 s select most appropriate graph Conc a nga sh c Conc 3001 2005 t sec B b C t A C B In c b k A o e kit ek k k 4 Select the correct statement for given reaction Conc Conc c graph C In k k B t sec LAKE t sec t sec 3 If k and k both are almost same then which graph is most suitable a graph A b graph B B C t a A decreases linearly b B rises to a max and then constant c B rises to a max and then falls d The slowest rate of increases of C occuring where B is max d None of these C t A A d graph D

1 Select the correct statement s a Rate constants are never negative b Partial orders are never negative c Molecularity and order of reaction both are equal for elementary reactions d Order of reaction may be change with change in practical conditions temp and pressure 2 Select the correct statement s a The rate of reaction decreases with decrease in temperature b The rate of reaction is uniform in zero order reaction c The rate of reaction depends upon the surface area of the solid reactants d Average and instantaneous rate of reaction defined for micro and macro scopic time interval respectively 80 S 8 101 to nepomial to 06 d 8 0 i bloiy munoup OF 0

Which of the following statements is are not true 1 Density of solid gets increased due to interstitial defects 2 Frenkel defects do not alter the density of the solid 3 Non stoichiometric defects modify the formula of the compound 4 Non stoichiometric defects do not alter the

Three lines are drawn from a single corner of an FCC unit cell to meet the other corner such that they are found to pass through exactly 1 Octahedral void only no voids Octahedral void only Identify the line in the same order 1 Edge Face diagonal Body diagonal 2 Face diagonal Edge Body diagonal 3 Body diagonal Face diagonal Edge 4 Edge Body diagonal Face diagonal

Here pls tell all coordination no From 1 to 6 with distance Also in ques nearest neighbour of X will be X atoms only or y atoms only or both Thanks Loun In a CCP structure of compound XY atom X is present at octahedral voids The ratio of 6th C N and 3rd C N for an atom X located at body centre is 1 3 2 1 3

12 Consider an ionic solid MX with NaCl structure Construct a new structure Z whose unit cell is constructed fr the unit cell of MX following the sequential instructions given below Neglect the charge balance JEE 201 i Remove all the anions X except the central one ii Replace all the face centered cations M by anions X iii Remove the the corner cations M iv Replace the central anion X with cation M The value of Number of anions Number of cations in Z is

Column I Structure A atoms are present at corners as well as on edge centre B atoms are present at corners as well as on face centre C atoms are present at corners as well as on body centre D atoms are present only at corners Column II Packing effici p 6 q 3 7 8 r 12 s 2 6

Which of the following statement is correct A C D Schottky defect is a type of non stoichiometric defect Metal deficiency defect is type of stoichiometric defect Frenkel defect is a type of stoichiometric defect Metal excess defect is a type of stoichiometric defect