Solid State PYQs Set 4 (PDF)

Set 4 of 7 · Questions 91-120 of 184

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Mere Teacher · Previous Year Questions JEE Main Chemistry · Solid State · Set 4 (Q91-120)
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91. $The angle between (100) and (110) planes of fcc lattice is$ (1) $90^{\circ}$ (2) $0^{\circ}$ (3) $45^{\circ}$ (4) $120^{\circ}$ 92. $Calculate the edge length of bcc unit cell if radius of metal atom is 227 pm .$ (1) $4.54 \times 10^{- 8} cm$ (2) $5.24 \times 10^{- 8} cm$ (3) $6.42 \times 10^{- 8} cm$ (4) $1.135 \times 10^{- 8} cm$ 93. $A compound is formed by elements A, B and O . Atoms of oxygen form ccp lattice. Atoms of A (cation) occupy \frac{1}{8}^{th} of tetrahedral voids and atoms of B (cation) occupy half of octahedral voids. What is the molecular formula of the compound?$ (1) $A_{2} BO_{4}$ (2) $ABO_{2}$ (3) $AB_{2} O_{4}$ (4) $ABO_{3}$ 94. $KBr has rock salt type structural arrangements and has a density of 3.70 g / cm^{3} . The edge length of the unit cell is approximately [molecular weight of KBr = 120 g / mol]$ (1) $3 \times 10^{- 8} cm$ (2) $12 \times 10^{- 8} cm$ (3) $9 \times 10^{- 8} cm$ (4) $6 \times 10^{- 8} cm$ 95. $The anions (A) of C_{p} A_{q} molecule forms an fcc lattice. Cations (C) are positioned at the body center and half of the edge centers. The formula of the molecule is$ (1) $CA$ (2) $CA_{2}$ (3) $C_{3} A_{4}$ (4) $C_{5} A_{8}$ 96. $F-centres are formed in NaCl crystal if it is heated with Na vapour. The above is due to$ (1) $Schottky defect$ (2) $Dislocation defect$ (3) $Metal excess defect$ (4) $Metal deficiency defect$ 97. $If 0.5 mol of a metal forms hexagonal close packed structure, the total number of voids, and tetrahedral voids respectively in mol are$ (1) $1.5, 1.0$ (2) $1.0, 0.5$ (3) $1.0, 1.5$ (4) $0.5, 1.0$ 98. $An ionic compound is expected to have tetrahedral structure if r^{+} / r^{-} lies in the range of$ (1) $0.155 to 0.225$ (2) $0.732 to 1$ (3) $0.414 to 0.732$ (4) $0.225 to 0.414$ 99. $The number of network solids and ionic solids in the list given below is respectively H_{2} O (ice), AlN, Cu, CaF_{2}, diamond, MgO, CCl_{4}, ZnS, Ag, NaCl, SiO_{2}$ (1) $3,3$ (2) $3,4$ (3) $4,4$ (4) $4,3$ 100. $A metal crystallises in bcc lattice with unit cell edge length of 300 pm and density 6.15 g cm^{- 3} . The molar mass of the metal is$ (1) $50 g mol^{- 1}$ (2) $60 g mol^{- 1}$ (3) $40 g mol^{- 1}$ (4) $70 g mol^{- 1}$ 101. $In face centered cubic unit cell, what is the volume occupied?$ (1) $\frac{4}{3} π r^{3}$ (2) $\frac{8}{3} π r^{3}$ (3) $\frac{16}{3} π r^{3}$ (4) $\frac{64 r ^{3}}{3 3}$ 102. $A compound of formula has the hcp lattice. Which atom forms the hcp lattice and what fraction of tetrahedral voids is occupied by the other atoms :$ (1) $hcp lattice - A, \frac{2}{3} Tetragonal voids - B$ (2) $hcp lattice - A, \frac{1}{3} Tetragonal voids - B$ (3) $hcp lattice - B,23 Tetragonal voids -A$ (4) $hcp lattice - B,13 Tetragonal voids -A$ 103. $Volume occupied by single CsCI ion pair in a crystal is 7.014 \times 10^{- 23} cm^{3} . The smallest Cs - Cs internuclear distance is equal to length of the side of the cube corresponding to volume of one CsCl ion pair. The smallest Cs to Cs internuclear distance is nearly$ (1) $4.4Å$ (2) $4.3Å$ (3) $4Å$ (4) $4.5Å$ 104. $The contribution of particle at the edge centre of a particular unit cell is$ (1) $\frac{1}{2}$ (2) $\frac{1}{4}$ (3) $1$ (4) $\frac{1}{8}$ 105. $Which among the following elements does not exhibit ferromagnetic properties?$ (1) $Cr$ (2) $Fe$ (3) $Co$ (4) $Ni$ 106. $Which of the following statement is not correct?$ (1) $Packing efficiency of hcp and ccp lattices are identical$ (2) $Packing efficiency of fcc lattice > Packing efficiency of ccp lattice$ (3) $Packing efficiency of fcc lattice = Packing efficiency of ccp lattice$ (4) $Packing efficiency of hcp lattice = Packing efficiency of fcc lattice$ 107. $Match the column A (type of crystalline solid) with the column B (example for each type) : A B P. Molecular solid (i) SiC Q. Ionic solid (ii) Mg R. Metallic solid (iii) H_{2} O S. Network solid (iv) MgO$ (1) $P-(iii), Q-(i), R-(ii), S-(iv)$ (2) $P-(iv), Q-(iii), R-(ii), S-(i)$ (3) $P-(ii), Q-(iv), R-(iii), S-(i)$ (4) $P-(iii), Q-(iv), R-(ii), S-(i)$ 108. $Which one of the following is a molecular crystal?$ (1) $Rock salt$ (2) $Quartz$ (3) $Dry ice$ (4) $Diamond$ 109. $If we mix a pentavalent impurity in a crystal lattice of germanium, what type of semiconductor formation will occur?$ (1) $n ‐type semiconductor$ (2) $p ‐type semiconductor$ (3) $both (a) and (b)$ (4) $None of these.$ 110. $The packing efficiency of simple cubic (sc), body centred cubic (bcc) and cubic close packing (ccp) lattices follow the order$ (1) $bcc < ccp < sc$ (2) $ccp < bcc < sc$ (3) $sc < ccp < bcc$ (4) $sc < bcc < ccp$ 111. $The correct statement regarding defect in solids is$ (1) $Schottky defect has no effect on the physical properties of solids$ (2) $Frenkel defect is a dislocation defect$ (3) $Frenkel defect is usually favoured by a very small difference in the sizes of cations and anions$ (4) $trapping of proton in the lattice leads to the formation of F -centers.$ 112. $A metal crystallises in face centred cubic structure with metallic radius 2 Å . The volume of the unit cell (in m^{3}) is$ (1) $6.4\times 1 0^{- 29}$ (2) $4 \times 10^{- 29}$ (3) $6.4 \times 10^{- 30}$ (4) $4 \times 10^{- 10}$ 113. $Vacant space in body centred cubic lattice unit cell is about$ (1) $23 %$ (2) $46 %$ (3) $32 %$ (4) $10 %$ 114. $Elements A and B have fcc and bcc structures respectively with a unit cell edge length of 3 A^{0} for both elements. The no. of atoms in 210 gm of A is equal to 594 gm of B . If density of A is 7 g cm^{- 3}, what is the density of B ?$ (1) $9.9 g cm^{- 3}$ (2) $4.5 g cm^{- 3}$ (3) $6.8 g cm^{- 3}$ (4) $11.2 g cm^{- 3}$ 115. $At 100ºC, copper (Cu) has FCC unit cell structure with cell edge length of x Å. What is the approximate density of Cu (in g c m^{-3}) at this temperature? [Atomic mass of Cu = 63.55 u]$ (1) $\frac{205}{x ^{3}}$ (2) $\frac{105}{x ^{3}}$ (3) $\frac{422}{x ^{3}}$ (4) $\frac{211}{x ^{3}}$ 116. $What is the packing efficiency of silver metal in its unit cell?$ (1) $52.4 %$ (2) $68.0 %$ (3) $32.0 %$ (4) $74.0 %$ 117. $What is the number of unit cells when one mole atom of a metal, that forms simple cubic structure?$ (1) $6.022 \times 10^{23}$ (2) $1.204 \times 10^{24}$ (3) $9.033 \times 10^{23}$ (4) $3.011 \times 10^{23}$ 118. $The empirical formula for a compound with a cubic close packed arrangement of anions and with cationsoccupying all the octahedral sites in AxB. The value of x is ____. (Integer answer)$ 119. $The number of chlorine atoms in 20 mL of chlorine gas at STP is_____10^{21} . (Round off to the Nearest Integer). [Assume chlorine is an ideal gas at STP (R = 0.083 L bar mol^{- 1} K^{- 1}, N_{A} = 6.023 \times 10^{23})$ 120. $A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is 8 g c m^{-3}, then the number of atoms present in 256 g of the crystal is N\times 1 0^{24} . The value of N is$