Solid State PYQs Set 2 (PDF)

Set 2 of 7 · Questions 31-60 of 184

In the print window choose “Save as PDF”. The file prints without a web address or date line.

Mere Teacher · Previous Year Questions JEE Main Chemistry · Solid State · Set 2 (Q31-60)
Scan or visit mereteacher.com for free PYQ practice, timed CBT tests, step-by-step solutions and BroBot AI. Answers and solutions are free with a sign-up.
31. $Which of the following crystals has unit cell such that a \neq = b \neq = c and α \neq = β \neq = γ \neq = 90^{\circ} ?$ (1) $K_{2} Cr_{2} O_{7}$ (2) $NaNO_{3}$ (3) $KNO_{3}$ (4) $K_{2} SO_{4}$ 32. $In an ionic crystalline solid atoms of element Y forms hcp structure. The atoms of element X occupy one third of tetrahedral voids. What is the formula of compound?$ (1) $X_{2} Y_{3}$ (2) $XY$ (3) $X_{3} Y_{2}$ (4) $X Y_{2}$ 33. $The fraction of the total volume occupied by the atoms in a simple cube is$ (1) $\frac{π}{2}$ (2) $\frac{π}{4}$ (3) $\frac{π}{6}$ (4) $\frac{π}{8}$ 34. $The radii of Na^{+} and Cl^{-} ions are 95 pm and 181 pm respectively. The edge length of NaCl unit cell is$ (1) $276 pm$ (2) $138 pm$ (3) $552 pm$ (4) $415 pm .$ 35. $If molten NaCl contains SrCl_{2} as impurity, crystallization can generate$ (1) $Anionic vacancies$ (2) $Cationic vacancies$ (3) $Metal excess defects$ (4) $Metal deficiency defects$ 36. $The density of Na is 0.613 g cm^{- 3} . If the edge length of unit cell of Na is 5Å, the effective number of atoms of Na per unit cell is (Atomic weight of Na = 23 u)$ (1) $8$ (2) $1$ (3) $2$ (4) $4$ 37. $A metal crystallises in a body centered cubic lattice with the metallic radius 3 A . The volume of the unit cell in m^{3} is$ (1) $64\times 1 0^{- 29}$ (2) $4 \times 10^{- 29}$ (3) $6.4\times 1 0^{- 29}$ (4) $4 \times 10^{- 10}$ 38. $The correct statement regarding defects in solid is$ (1) $Frenkel defect is a vacancy defect$ (2) $Schottky defect is a dislocation defect$ (3) $trapping of an electron in the lattice leads to the formation of F centre$ (4) $Schotky defect has no effect on density.$ 39. $The number of tetrahedral and octahedral voids in CCP unit cell are respectively$ (1) $4,8$ (2) $8,4$ (3) $12,6$ (4) $6,12$ 40. $LiCoO_{2} crystallises in a rhomobohedral structure. Consider a situation where 50 % lithium (Li) is extracted from the lattice. To keep the crystal electrically neutral, change in average oxidation state of Co is$ (1) $16.66 % decrease$ (2) $16.66 % increase$ (3) $50 % increase$ (4) $50 % decrease$ 41. $If an element having atomic number 96 crystallises in cubic lattice with a density of 10.3 g cm^{- 3} and the edge length of 314 pm then, the structure of solid is$ (1) $hcp$ (2) $fcc$ (3) $bcc$ (4) $simple cubic$ 42. $Element ‘B’ forms ccp structure and ‘A’ occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is:$ (1) $A_{2} B O_{4}$ (2) $A B_{2} O_{4}$ (3) $A_{2} B_{2} O$ (4) $A_{4} B_{2} O$ 43. $If the length of the body diagonal of a FCC unit cell is x Å, the distance between two octahedral voids in the cell in Å is$ (1) $\frac{x}{2}$ (2) $\frac{x}{3}$ (3) $\frac{x}{6}$ (4) $\frac{x}{8}$ 44. $Given below are two statements. Statement I: Frenkel defects are vacancy as well as interstitial defects. Statement II: Frenkel defect leads to colour in ionic solids due to presence of F-centres. Choose the most appropriate answer for the statements from the options given below:$ (1) $Statement I is false but Statement II is true$ (2) $Both Statement I and Statement II are true$ (3) $Statement I is true but Statement II is false$ (4) $Both Statement I and Statement II are false$ 45. $In the -ray reflection , the distance between two parallel planes of is and diffraction angle is . What is the wavelength of it's light radiation (Sin )$ (1) $0.504 A^{\circ}$ (2) $5.04 A^{\circ}$ (3) $50.4 A^{\circ}$ (4) $504 A^{\circ}$ 46. $Match List I with List II List I (Type of solid) (A) Metallic (B) Ionic (C) Molecular (D) Covalent List II (Example) (1) Diamond (2) Ice (3) NaCl (4) Cu A B C D$ (1) $4321$ (2) $4312$ (3) $3421$ (4) $3412$ 47. $Select a ferromagnetic material from the following.$ (1) $Dioxygen$ (2) $Chromium(IV) oxide$ (3) $Benzene$ (4) $Dihydrogen monoxide$ 48. $Select the correct statements.(A) Crystalline solids have long range order.(B) Crystalline solids are isotropic.(C) Amorphous solid are sometimes called pseudo solids.(D) Amorphous solids soften over a range of temperatures.(E) Amorphous solids have a definite heat of fusion. Choose the most appropriate answer from the options given below.$ (1) $(A), (B), (E) only$ (2) $(B), (D) only$ (3) $(C), (D) only$ (4) $(A), (C), (D) only$ 49. $Which metal among the following has the highest packing efficiency?$ (1) $Iron$ (2) $Tungsten$ (3) $Aluminium$ (4) $Polonium$ 50. $Percentages of free space in cubic close packed structure and in body centred packed structure are respectively$ (1) $32 % and 48 %$ (2) $48 % and 26 %$ (3) $30 % and 26 %$ (4) $26 % and 32 %$ 51. $Which of the following expressions is correct in case of a CsCl unit cell (edge length ' a')?$ (1) $r_{Cs^{+}} + r_{Cl^{-}} = \frac{3}{2} a$ (2) $r_{Cs^{+}} + r_{Cl^{-}} = \frac{a}{2}$ (3) $r_{Cs^{+}} + r_{Cl^{-}} = a$ (4) $r_{Cs^{+}} + r_{Cl^{-}} = \frac{a}{2}$ 52. $In a solid 'AB' having the NaCl structure, 'A' atoms occupy the corners of the cubic unit cell. If all the face centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is$ (1) $A B_{2}$ (2) $A_{2} B$ (3) $A_{4} B_{3}$ (4) $A_{3} B_{4}$ 53. $Metal deficiency defect is shown by F e_{0.93} O. In the crystal, some F e^{2 +} cations are missing and loss of positive charge is compensated by the presence of F e^{3 +} ions. The percentage of F e^{2 +} ions in the F e_{0} ._{93} O crystals is_________. (Nearest integer)$ 54. $A mineral of iron contains an oxide containing 72.36% iron by mass and has a density of 5.2 g/cc. Its unit cell is cubic with edge length of 839 pm. What is the total number of atoms (ions) present in each unit cell ? (Fe - 56, O-16)$ 55. $At 25^{\circ} C, 50 g of iron reacts with HCl to form FeCl_{2} . The evolved hydrogen gas expands against a constant pressure of 1 bar. The work done by the gas during this expansion is______J . (Round off to the Nearest Integer) [Given: R = 8.314 J mol^{- 1} K^{- 1} . Assume, hydrogen is an ideal gas] [Atomic mass off Fe is 55.85 u]$ 56. $Sodium metal crystallizes in a body centered cubic lattice with unit cell edge length of 4 A o . The radius of sodium atom is \times 10^{- 1} A \circ (Nearest integer)$ 57. $Number of crystal systems from the following where body centered unit cell can be found, is . Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic$ 58. $Metal M crystallizes into a FCC lattice with the edge length of 4. 0 x 1 0^{- 8} cm. The atomic mass of the metal is______ g/mol (Nearest integer). (Use : N_{A} = 6. 02 x 1 0^{23} m o l^{- 1}, density of metal, M = 9.03 g c m^{- 3})$ 59. $An element with molar mass 2.7 \times 10^{- 2} kg mol^{- 1} forms a cubic unit cell with edge length 405 pm . If its density is 2.7 \times 10^{3} kgm^{- 3} the radius of the element is approximately \times 10^{- 12} m (to the nearest integer).$ 60. $Number of crystal systems from the following where body centred unit cell can be found, is_____. Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic$