Solid State PYQs Set 3 (PDF)

Set 3 of 7 · Questions 61-90 of 184

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Mere Teacher · Previous Year Questions JEE Main Chemistry · Solid State · Set 3 (Q61-90)
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61. $Which of the following arrangements shows the schematic alignment of magnetic moments of antiferromagnetic substance?$ (1) (2) (3) (4) 62. $Which primitive unit cell has unequal edge lengths (a \neq = b \neq = c) and all axial angles different from 90°?$ (1) $Triclinic$ (2) $Hexagonal$ (3) $Monoclinic$ (4) $Tetragonal$ 63. $A body centred cubic lattice is made up of two different types of atoms X and Y. Atom X occupies the body centre and atoms Y occupy the corner positions. One of the corners is left unoccupied per unit cell. The empirical formula of it is$ (1) $X_{2} Y_{3}$ (2) $X_{8} Y_{7}$ (3) $X_{7} Y_{8}$ (4) $X_{5} Y_{7}$ 64. $Which metal crystallises in a simple cubic structure?$ (1) $Polonium$ (2) $Copper$ (3) $Nickel$ (4) $Iron$ 65. $A diatomic molecule X_{2} has a body-centred cubic (bcc) structure with a cell edge of 300 pm The density of the molecule is 6.17 g cm^{- 3} . The number of molecules present in 200 g of X_{2} is : (Avogadro constant (N_{A}) = 6 \times 10^{23} mol^{- 1})$ (1) $40 N_{A}$ (2) $4 N_{A}$ (3) $2 N_{A}$ (4) $8 N_{A}$ 66. $The correct relationships between unit cell edge length ' a' and radius of sphere ' r' for face-centred and body-centered cubic structures respectively are:$ (1) $r = 22 a and 3 r = 4 a$ (2) $r = 22 a and 4 r = 3 a$ (3) $22 r = a and 3 r = 4 a$ (4) $22 r = a and 4 r = 3 a$ 67. $A crystalline solid X Y_{3} has ccp arrangement for its element Y . X occupies$ (1) $66 % of tetrahedral voids$ (2) $33 % of tetrahedral voids$ (3) $66 % of octahedral voids$ (4) $33 % of octahedral voids.$ 68. $In which of the following compounds the cations are present in alternate tetrahedral voids$ (1) $NaCl$ (2) $ZnS$ (3) $C a F_{2}$ (4) $N a_{2} O$ 69. $A compounds of formula has the hcp lattice. Which atom forms the hcp lattice and what fraction of tetrahedral voids is occupied by the other atoms;$ (1) $hcp lattice -A, \frac{2}{3} Tetrahedral voids-B$ (2) $hcp lattice -B, \frac{1}{3} Tetrahedral voids-A$ (3) $hcp lattice -B, \frac{2}{3} Tetrahedral voids-A$ (4) $hcp lattice -A, \frac{1}{3} Tetrahedral$ 70. $In the face centred unit cell, the lattice points are present at$ (1) $only the corners of the unit cell$ (2) $the corners and the centre of the unit cell$ (3) $the corners and the face centres of the unit cell$ (4) $only the face centres of the unit cell$ 71. $Calculate the density of metal having molar mass 210 g mol^{- 1} that forms simple cubic unit cell (a^{3} \cdot N_{A} = 21.5 cm^{3} mol^{- 1})$ (1) $9.77 g cm^{- 3}$ (2) $8.12 g cm^{- 3}$ (3) $7.15 g cm^{- 3}$ (4) $6.94 g cm^{- 3}$ 72. $Which of the following compounds is metallic and ferromagnetic?$ (1) $C r O_{2}$ (2) $V O_{2}$ (3) $M n O_{2}$ (4) $T i O_{2}$ 73. $A metal exists as an oxide with formula M_{0.96} O. Metal M can exist as M^{+ 2} and M^{+ 3} in its oxide M_{0.96} O . The percentage of M^{+ 3} in the oxide is, nearly$ (1) $4.6 %$ (2) $5 %$ (3) $9.6 %$ (4) $8.3 %$ 74. $1 mole of NaCl is doped with 10^{- 5} mole of SrCl_{2} . The number of cationic vacancies in the crystal lattice will be$ (1) $6.022 \times 10^{18}$ (2) $6.022 \times 10^{15}$ (3) $6.022 \times 10^{23}$ (4) $12.044 \times 10^{20}$ 75. $The number of atoms in 2.4 g of body centred cubic crystal with edge length 200 pm is (density = 10 g cm^{- 3}, N_{A} = 6 \times 10^{23} atoms / mol)$ (1) $6 \times 10^{22}$ (2) $6 \times 10^{20}$ (3) $6 \times 10^{23}$ (4) $6 \times 10^{19}$ 76. $An element has a face-centred cubic (fcc) structure with a cell edge of a. The distance between the centres of two nearest tetrahedral voids in the lattice is:$ (1) $2 a$ (2) $a$ (3) $\frac{a}{2}$ (4) $\frac{3}{2} a$ 77. $How many number of atoms are there in a cube based unit cell, having one atom on each corner and 2 atoms on each body diagonal of cube?$ (1) $4$ (2) $9$ (3) $8$ (4) $6$ 78. $CsCl crystallizes in body centred cubic lattice. If 'a' its edge length then which of the following expressions is correct?$ (1) $r_{C s^{+}} + r_{C l^{-}} = 3 a$ (2) $r_{C s^{+}} + r_{C l^{-}} = \frac{3 a}{2}$ (3) $r_{C s^{+}} + r_{C l^{-}} = \frac{3}{2} a$ (4) $r_{C s^{+}} + r_{C l^{-}} = 3 a$ 79. $In a face centred cubic arrangement of A and B atoms in which ' A' atoms are at the corners of the unit cell and ' B' atoms are at the face centers. One of the ' A' atoms is missing from one corner in unit cell.The simplest formula of compound is$ (1) $A B_{3}$ (2) $A_{7} B_{24}$ (3) $A_{7} B_{8}$ (4) $A7B12$ 80. $Silver forms CCP structure and it's density is 10.5 g / cm^{3} . What is the edge length of unit cell. (molar mass of silver is 107.9 g / mol)$ (1) $3 0.68 Å$ (2) $348 Å$ (3) $3 68.1 Å$ (4) $3680 Å$ 81. $A solid having density of 9 \times 10^{3} kg m^{- 3} forms face centred cubic crystals of edge length 2002 pm. What is the molar mass of the solid ? [Avogadro constant \approx 6 \times 10^{23} mol^{- 1}, π \approx 3]$ (1) $0.0432 kg mol^{- 1}$ (2) $0.0216 kg mol^{- 1}$ (3) $0.0305 kg mol^{- 1}$ (4) $0.4320 kg mol^{- 1}$ 82. $Out of seven crystal systems, how many have face-centred unit cells?$ (1) $1$ (2) $2$ (3) $3$ (4) $4$ 83. $A compound is formed by elements A and B . This crystallises in the cubic structure where the A atoms are at the corners of the cube and B atoms are at the body centres. The simplest formula of the compound is$ (1) $A_{8} B_{4}$ (2) $A B_{6}$ (3) $AB$ (4) $A_{6} B$ 84. $Ag crystallizes in fcc lattice. What is the total number of tetrahedral voids present in 540 g of Ag metal? (N_{A} =) Avagadro number; Ag atomic weight = 108 g mol^{- 1})$ (1) $10 N_{A}$ (2) $20 N_{A}$ (3) $40 N_{A}$ (4) $60 N_{A}$ 85. $The ratio of number of atoms present in a simple cubic, body centred cubic and face centred cubic structure are, respectively :$ (1) $8:1:6$ (2) $1:2:4$ (3) $4:2:1$ (4) $4:2:3$ 86. $Iron crystalizes in FCC with an edge length of 400 pm . If it contains 0.1 % Schottky defects, calculate its approximate density [AW of Fe = 56 g / mol]$ (1) $5.8 g / cm^{3}$ (2) $1.5 g / cm^{3}$ (3) $2.9 g / cm^{3}$ (4) $8.5 g / cm^{3}$ 87. $The number of octahedral voids per lattice site in a lattice is ____. (Rounded off to the nearest integer)$ 88. $The unit cell of copper corresponds to a face centered cube of edge length 3.596Å with one copper atom ateach lattice point. The calculated density of copper in kg/m³ is _______ [Molar mass of Cu: 63.54g; Avogadro number = 6.022 \times 10^{23}]$ 89. $Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is_____\times 10^{21} . (Round off to the Nearest Integer).$ 90. $An atomic substance A of molar mass 12 g m o l^{- 1} has a cubic crystal structure with edge length of 300 pm. The no. of atoms present in one unit cell of A is (Nearest integer) Given the density of A is 3.0 g m m^{- 1} and N A_{A} = 6.02 x 1 0^{23} m o l^{- 1}$