Solid State PYQs Set 1 (PDF)

Set 1 of 7 · Questions 1-30 of 184

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Mere Teacher · Previous Year Questions JEE Main Chemistry · Solid State · Set 1 (Q1-30)
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1. $Which of the following oxides show electrical properties like metals?$ (1) $SiO_{2}$ (2) $MgO$ (3) $SO_{2 (s)}$ (4) $CrO_{2}$ 2. $Which halide of magnesium has highest ionic character?$ (1) $Chloride$ (2) $Bromide$ (3) $Iodide$ (4) $Fluoride$ 3. $All of the following share the same crystal structure except:$ (1) $LiCl$ (2) $NaCl$ (3) $RbCl$ (4) $CsCl$ 4. $Which type of 'defect' has the presence of cations in the interstitial sites?$ (1) $Frenkel defect$ (2) $Metal deficiency defect$ (3) $Schottky defect$ (4) $Vacancy defect$ 5. $Which of the following solids is not a molecular solid?$ (1) $HCl$ (2) $H_{2} O$ (3) $CCl_{4}$ (4) $SiO_{2}$ 6. $A compound is formed by two elements X and Y. The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the formula of the compound?$ (1) $XY_{3}$ (2) $X_{3} Y_{2}$ (3) $X_{3} Y$ (4) $X_{2} Y_{3}$ 7. $The correct option for axial distances and axial angles for hexagonal crystal system is$ (1) $a \neq = b \neq = c, α \neq = β \neq = γ = 90^{\circ}$ (2) $a = b \neq = c, α = β = γ = 90^{\circ}$ (3) $a = b \neq = c, α = β = 90^{\circ}, γ = 120^{\circ}$ (4) $a \neq = b \neq = c, α = β = γ = 90^{\circ}$ 8. $Sodium metal crystallizes in bock lattice with edge length of 4.29Å . The radius of sodium atom is$ (1) $1.601Å$ (2) $1.857 A$ (3) $2.857Å$ (4) $2.145Å$ 9. $Find the radius of metal atom in simple cubic unit cell having edge length 334.7 pm ?$ (1) $167.35 pm$ (2) $334.70 pm$ (3) $144.93 pm$ (4) $118.32 pm$ 10. $Which from following combinations is an example for construction of n -type semiconductor?$ (1) $Si doped with B$ (2) $Si doped with P$ (3) $Si doped with Ga$ (4) $Si doped with In$ 11. $Edge length of a cube is 300 pm . Its body diagonal would be$ (1) $600 pm$ (2) $423 pm$ (3) $519.6 pm$ (4) $450.5 pm$ 12. $If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively, are$ (1) $\frac{1}{2}, \frac{1}{8}$ (2) $1, \frac{1}{4}$ (3) $\frac{1}{2}, \frac{1}{2}$ (4) $\frac{1}{4}, \frac{1}{8}$ 13. $The radius of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell is: (Edge length is represented by ‘a’)$ (1) $0.027 a$ (2) $0.047 a$ (3) $0.134 a$ (4) $0.067 a$ 14. $In the structure of a solid, W atoms are located at the cube corners of the unit cell, O atoms are located at the cube edges and Na atoms at the cube centres. The formula of the compound is$ (1) $NaWO_{3}$ (2) $NaWO_{2}$ (3) $Na_{2} W_{2} O_{2}$ (4) $Na_{2} WO_{3}$ 15. $In A_{x} B_{y} crystal structure, A atoms occupied all octahedral as well as all tetrahedral voids and B atoms are at FCC centres. What is the formula of compound A_{x} B_{y} .$ (1) $AB_{3}$ (2) $A_{10} B_{3}$ (3) $A_{15} B_{36}$ (4) $A_{3} B$ 16. $A substance A_{x} B_{y} crystallizes in a face centered cubic lattice in which atoms ‘A’ occupy each corner of the cube and atoms ‘B’ occupy the centers of each face of the cube. Identify the correct composition of the substance A_{x} B_{y} .$ (1) $A B_{3}$ (2) $A_{4} B_{3}$ (3) $A_{3} B$ (4) $composition cannot be specified$ 17. $When CaCl_{2} is added to AgCl crystal, the defect introduced is$ (1) $Frenkel defect only$ (2) $Schottky defect only$ (3) $No charge$ (4) $Both Frenkel and Schottky defects$ 18. $Which one of the following is a semiconductor?$ (1) $Fe$ (2) $Ge$ (3) $Diamond$ (4) $Cu$ 19. $Calculate the number of unit cells in 3 gram metal that crystallises to simple cubic unit cell having edge length 336 pm . (density of metal = 9.4 g cm^{- 3})$ (1) $8.41 \times 10^{21}$ (2) $6.25 \times 10^{21}$ (3) $7.15 \times 10^{21}$ (4) $5.82 \times 10^{21}$ 20. $A compound made of elements A and B form fcc structure. Atoms of A are at the corners and atoms of B are present at the centres of faces of cube. What is the formula of the compound?$ (1) $A B$ (2) $A B_{2}$ (3) $A B_{3}$ (4) $A_{2} B$ 21. $Identify the crystal system in which primitive unit cell has edge lengths a = b = 200 pm and c = 300 pm and all axial angles are same$ (1) $Tetragonal$ (2) $Rhombohedral$ (3) $Monoclinic$ (4) $Cubic$ 22. $If the radius of an atom of an element which forms a body centred cubic unit cell is 173.2 pm, the volume of unit cell in cm^{3} is$ (1) $3.12 \times 10^{- 23}$ (2) $6.4 \times 10^{- 23}$ (3) $3.2 \times 10^{- 24}$ (4) $2.13 \times 10^{- 23}$ 23. $A cube of edge length 1 cm is divided into smaller cubes of uniform size of length 1 nm . Assuming that no voids are present, the ratio of total surface area of all the cubes of 1 nm edge length to the surface area of the initial cube is$ (1) $10^{9}$ (2) $10^{7}$ (3) $10^{6}$ (4) $10^{5}$ 24. $Calculate the coordination number of Na^{+} in NaCl crystal, given radius of Na^{+} and Cl^{-} are 95 pm and 181 pm respectively.$ (1) $8$ (2) $4$ (3) $6$ (4) $12$ 25. $In a A_{x} B_{y} crystal structure, A^{+ y} ions occupy all the tetrahedral voids and B^{- x} ions make BCC unit cell. What is the formula of the compound?$ (1) $A_{4} B_{2}$ (2) $A_{2} B_{4}$ (3) $A_{2} B_{2}$ (4) $A_{4} B_{4}$ 26. $Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where 50% of the tetrahedral voids are also occupied by carbon atoms. The number of carbon atoms present per unit cell of diamond is ___$ 27. $The pressure exerted by a non-reactive gaseous mixture of 6.4 g of methane and 8.8 g of carbon dioxide in a 10 L vessel at 27^{\circ} C is________kPa . (Round off to the Nearest Integer). [Assume gases are ideal, R = 8.314 J mol^{- 1} K^{- 1} Atomic masses : : C : 12.0 u, H : 1.0 u, O : 16.0 u]$ 28. $A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is__________x 1 0^{21} (Nearest integer) (Given N_{A} = 6.02 x 1 0^{23})$ 29. $A certain element crystallises in a bcc lattice of unit cell edge length 27 A ˚ . If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in A ˚ will be _____. (Round off to the Nearest Integer). [Assume each lattice point has a single atom] [ Assume 3 = 1.73, 2 = 1.41]$ 30. $An atomic substance A of molar mass 12 g mol^{- 1} has a cubic crystal structure with edge length of 300 pm. The no. of atoms present in one unit cell of A is (Nearest integer) Given the density of A is 3.0 g mL^{- 1} and N_{A} = 6.02 \times 10^{23} mol^{- 1}$