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Solid State MHT-CET pyq's

MHT-CET 2004

1. Silicon is
(A)semiconductor       (B) insulator      (C) conductor      (D)none of these -

MHT-CET 2006 

2. A metallic element has a cubic lattice. Each edge of the unit cell is 2 A. The density of the metal
is 2.5 g cm^-3. The unit cells in 200 g of metal are
(A1 x 10^24      (B)1 x 10^20      (C)1 x 10^22      (D)1 x 10^25

MHT-CET 2013 

 
3. A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is
2.72gcm^-3. The molar mass of the metal is (N, Avogadro’s constant = 6.02 x 10^23 mol^-1) |
(A)40 g mol^-1     (B)30 g mol^-1     (C)27 g mol^-1     (D)20 g mol^-1


MHT-CET 2015

4. Select a ferromagnetic material from the followings.
(A)Dioxygen     (B) Chromium (IV) oxide
(C) Benzene     (D) Dihydrogen monoxide


MHT-CET 2016

5. In face centred cubic unit cell, what i the volume occupied?
(A)4/3πr^3     (B) 8/3π4^3     (C) 16/3πr^3     (D)64/3root3r^3

6. Which among the following solids is a nonpolar solid?
(A) Hydrogen chloride     (B) Sulphur dioxide     (C) Water
(D) Carbon dioxide

MHT-CET 2018  

7. In which among the following solids, Schottky defect is NOT observed?
(A)ZnS      (B)NaCI      (C)KCI      (D)CsCI


MHT-CET 2019
8.Which among the following solids shows Frenkel defect?
(A) NaCI      (B) CsCI       (C) AgCI      (D) KCI

9. Which among the following pairs of compounds is NOT isomorphous ?

 A)NaN03 and CaCO3    (B) NaF and MgO    (C)K2SO4 and K2SeO4    (D) NaCl and KCI

10.The percentage of unoccupied volume in simple cubic cell is
(A)52.40%     (B) 32.00%      (C) 68.04%      (D)47.60%

11.How many total constituent particles are present in simple cubic unit cell?
(A)1      (B) 3      (C)4      (D)2

12.If a metal crystallizes in bcc structure with edge length of unit cell 4.29 x 10^-8 cm, the radius of metal atom is
(A)11.86 x 10^-8 cm      (B) 1.07 x 10^-7 cm  
(C) 3.2 x 10^-7cm      (D) 1.07 x 10^-8 cm
 

13. Which among the following statements is true about Schottky defect?
(A)In this regular cation is replaced by different cation.
(B)In this cation or anion moves from regular site to place between lattice site.

(C)Formation of metal alloy is example of this defect.
(D)In this defect cation and anion are lacking in stoichiometric proportion. 

14. Which among the following statements is NOT true about amorphous solids?
(A) Values of physical properties change with direction of measurement
(B)These are pseudo solids
(C)These are super cooled liquids
(D)These behave like fluids

15. In body-centred cubic cell the space occupied by constituent particles is 

(A)138%     (B) 62%      (C) 74%      (D) 68%

16. If the constituent particles of crystal lattice are of identical sue then total particles present in FCC type unit is equal to
(A)2     (B) 3      (C)1      (D) 4

(17)Arrange following type of unit cells according to their decreasing order of packing efficiency
(A) bee > fee > simple cubic      (B) fcc > bcc > simple cubic
(C)fcc > simple cubic > bcc      (D) Simple cubic > bcc > fcc

18.which among the following defects is observed in Brass?
(A)Schottky       (B) Substitution impurity      (C) Interstitial impurity      (D) Frenkel 



MHT-CET 2020
19. Calculate the number of unit cells in 38.6 g of noble metal having density 19.3 g cm^-3 and volume of one unit cell is 6.18 x 10^-23 cm^3.
(A)3.236 x 10^23      (B)3.236 x 10^22      (C)6.180 x 10^23      (D)6.236 x 10^20


20. Sodium crystallizes in bcc structure with radius 1.86 x 10^-8 cm. . What is the length of unit cell of sodium?
(A) 5.26 * 10^-8. cm      (B) 3.272 x 10^-8 cm      (C) 7.44 x 10^-8 cm      (D) 4.3 * 10^-8 cm

 
21. What is the percentage of void space in bee type of in unit cell?
(A) 32%      (B)74%      (C) 26%      (D)68%

22. What is the mass of an fcc unit cell if mass of one atom of an element is 6 x 10^-23 g?
 (A)4 x 10^-23 g      (B) 24 x 10^22 g      (C) 2.4 x 10^23 g      (D) 2.4 x 10^-22 g

23. Which among the following is NOT a polar molecular solid?
(A) H2S      (B) CH4      (C) HCI      (D) S02

24. What is the packing efficiency of fcc crystal structure?
 (A) 68.04%      (B) 47.6%      (C) 74.0%      (D) 52.4%

25. How many number of unit cells are present in 100 g of an element with fcc crystal having density 10 g/cm^3 and edge length 100 pm?
(A)4 * 10^25      (B)3 x 10^25      (C)2 x 10^25     (D) 1 x 10 ^25
 

26.Nickel crystallizes in a fcc type of unit cell, edge length is 0.3524 nm. Calculate the radius nickel atom.
(A)0.1624 nm      (B) 0.1426 nm      (C)0.2164 nm      (D)0.1246 nm

27. An element crystallizes bcc type of unit cell, the density and edge length of unit cell is 4 g cm^-3 and 500 pm respectively. What is the atomic mass of an element?
(A)100.1      (B) 150.0      (C) 125.5      (D)250.0

28. An element crystallizes in bee type having atomic radius 1.33 x 10^-8 cm, the edge length of unit cell will be
(A)4.08 x 10^-8 cm      (B)2.17 x 10^-8 cm      (C) 2.66 x 10^-8 cm      (D)3.07 x 10^-8 cm

29. What is the number of atoms present per unit cell of aluminium having edge length 4 A?
(A)4    (B)1   (C)8   (D)2

30. Lithium crystallizes into body centered cubic structure. What is the radius of lithium if edge length of its unit cell is 351 pm?
(A)175.50 pm     (B) 240.80 pm     (C) 300.50 pm     (D) 151.98 pm

31. The edge length of fcc type unit cell of copper having atomic radius 127.6 pm is equal to
(A)331 pm     (B)378 pm     (C) 295 pm     (D)361 pm

32. An element crystallizes in fcc lattice with cell edge 250 pm. Calculate the density of an element. (At. Mass = 90.3)
(A)19.20 g cm^-3     (B)38.40 g cm^ -3     (C)48.40 g cm^-3     (D)23.12 g cm^-3
 
33. An element with density 2.8 g cm^-3 forms fcc unit cell having edge length 4 x 10^-8cm.  Calculate molar mass of the element.
(A)22.0 g mo1-1     (B) 27.0 g mo1^-1     (C) 33.0 g mol^-1     (D)36.0 g mo1^-1

34. Molar mass of an element is 60.22 g mol^-1 . What is the mass of fcc type unit cell of an element?
(A)1.0 x 10^-22g     (B) 4.0 x 10^-22 g     (C) 2.0 x 10^-22 g     (D)4.0 x 10^-23

35. Aluminium crystallizes in a face centred cubic structure, its atomic radius is 125 pm. What is the edge length of unit cell?
(A)335.5 pm    (B) 288.6 pm   (C) 280 pm   (D)353.5 pm

36. Sodium crystallizes in bcc structure with radius 1.86 x 10^-8 cm. Calculate the edge length unit cell.
(A) 6.20 x 10^-8 cm       (B) 4.29 x 10^-8 cm      (C) 3.72 x 10^-8 cm       (D) 8.05 x 10^-8 cm

37. An element crystallizes in bcc type crystal structure with edge length of unit cell 300pm. Calculate radius of element.

(A) 1.299 x 10^-4 cm      (B) 6.920 x 10^-8 cm     (C)1.440 x 10^-8 cm     (D) 2.299 x 10^-8

38.What is the volume of 1 mole of a crystalline solid having unit cell edge length 16 x 10^-8cm, if its unit cell contains molecules?

(A) 159.3 cm^3mol^-1      (B) 404.0 cm^3 mol^-1     (D) 102.7 cm^3  mol^-1    (D)142.1 cm^3 mol^-1

39.Dry ice is an example of

(A) ionic solid     (B) covalent solid       (C) metallic solid     (D) molecular solid.

40. The coordination number of the sphere in cubic dose packed (ccp) structure is 

(A)8      (B)      4 (C)         (D) 12

41. What is the coordination number of cation in ionic compound if the type of hole occupied by cation is cubic? 

(A) 4      (B) 6      (C) 3      (D) 8

42. Xenon crystallizes in fcc lattice and the edge length of unit cell is 620 pm. What is the radius of Xe atom? 

(A) 536.9 pm      (B) 438.5 pm      (C) 265.5 pm      (D) 219.2 pm 

43. A compound has fcc structure. If density of unit cell is 3.4 g cm^-3, what is the edge length of unit cell? (Molar mass = 98.99)

(A) 8.780 A      (B) 6.083 A      (C) 7.783 A      (D) 5.783 A

44. A metallic element crystallizes in simple cubic lattice. If edge length of the unit cell is 3A, with density 8 g/cc, what is the number of unit cells in 108 g of the metal? (Molar mass of metal = 100 g/mol) 

(A) 2 x 10^24      (B) 5 x 10^23      (C) 2.7 x 10^22      (D) 1.33 x 10^20

45. An element has a bcc structure with cell edge of 288 pm, the density of element is 7.2 g cm^-3. What is the atomic mass of an element?

(A) 77.68      (B) 25.89      (C) 62.43     (D)51.81 

46. Silver crystallizes in fcc structure. If edge length of unit cell is 316.5 pm, what is the radius of silver atom?

 (A) 121.91 pm      (B) 111.91 pm      (C) 137.04 pm      (D) 158.25 pm  

47.An element crystallizes in a bcc lattice with cell edge of 500 pm. The density of the element is 7.5g cm^-3. How many atoms are present in 300 g of metal? 

(A)3.2 * 10^23 atoms      (B) 6.4 * 10^23 atoms       (C)1.6 * 10^23 atoms     (D) 12.8 * 10^23 atoms 

48.What is the  coordination number cation in ionic compound if the type of hole occupied by cation is octahedral? 

(A)6      (B) 3     (C) 8     (D)4

49.Which among the following is an example of amorphous solid?

(A)Diamond      (B) Camphor      (C) Glass      (D)Magnesium

50. How much part of an atom occupies each corner of bcc unit cell? 

(A)1/8     (B)1/4      (C) 1/6     (D)1/2 

51.What is the percentage of unoccupied space in fcc unit cell?

(A)26%     (B)32%     (C)68%     (D)74%

52. An element crystallizes with bcc structure with atomic radius 17.32 nm. What is the edge length of unit cell?

 (A) 33 nm      (13)64 nm      (C) 29 nm      (D) 40 nm

53. An element crystallizes in fcc type of unit cell. The volume of one unit cell is 24.99 x 10^-24 cm^2 and density of the element is 7.2 g cm^-3. Calculate the number of unit cells in 36 g of pure sample of element.

(A) 2.0  * 10^24      (B) 2.0 * ^21     (C) 2.0 * 10^23     (D) 1.25 * 10^21

54. What is the mass of bcc type unit cell of sodium if mass of one atom of sodium is 3.819 * 10^-23g?
(A)3.819 x 10^-23g     (B) 7.038 x 10^-23 g      (C)1.5276 x 10^-22 g      (D)7.638 x 10^-23 g

55.Which among the following is ferromagnetic in nature? 

(A)Oxygen      (B)Benzene      (C) Water     (D)Iron

56.Which among the following is NOT an amorphous solid? 

(A)Tar      (B) Camphor      (C) Butter      (D)Rubber

57. Which of the following is ferromagnetic in nature?

(A) Gadohniurn      (B) Oxygen     (C) Water     (D)Benzene

58. Which among the following elements when added to silicon forms P - type semiconductor?

(A) Sb      (B) Bi      (C) As      (D) B

59. Which among the following crystal structures the edge length of unit cell is equal to twice the radius of one atom?
(A) End — centred orthorhombic      (B) Simple cubic      (C) Body centred cubic      (D) Face centred cubic

60. Which is the number of atoms in 12.08 x 10^23 unit cells if an element crystallizes in bcc structure? (A) 4.838 x 10^24      (B) 2.416 x 10^24      (C) 2.08 x 10^22      (D) 1.208 x 10^23

61. Sodium crystallizes in bcc type of crystal lattice. If the edge length of unit cell is 4.29 A, what is the radius of sodium atom? 

(A) 2.15 A      (13) 2.94 A      (C) 4.29 A     (D)1.86A 


62. How many unit cells are present in 1.00 cm^3 of aluminum crystal, if edge length of unit cell 3.54 x 10^-8 cm?

(A) 4.508 x 10^22      (B) 6.022 x 10^23      (C) 1.126 x 10^22      (D)2.254 x 10^22

 
63. What is the density of iron crystal which crystallizes in body centred cubic structure with edge length 287 pm?(At. mass of Fe = 56 amu)

(A) 7.87 g/cm^3      (B) 6.07 g/cm^3      (C) 7.07 g/cm^3      (D) 6.87 g/cm^3


64. Which is the radius of sodium atom if it crystallizes in bcc structure with edge length of unit cell 4.29 x 10^-8 cm?

(A) 1.61 x 10^-8 cm      (B) 1.85 x 10^-8 cm      (C) 6.19 x 10^-9 cm      (D) 2.30 x 10^-8 g

65.What is the mass of unit cell of gold if it crystallises in fcc structure? (At mass of gold 197 g mol^-1) 

(A)130.85 x 10^-23 g     (B)98.14 x 10^-23g    (C)32.71 x 10^-23g     (D) 65.42 x 10^-23g

66.Gold crystallizes in fcc structure with edge length 396 pm, find atomic radius of gold.

(A) 198 pm (B) 162 pm (C) 714 pm (D) 140 pm

67.Copper chloride crystallizes in to fcc type of crystal system. If density of unit cell is 3.4 g cm ^-3, the edgc length of unit cell will be (Given At. Mass of Cu = 63, Cl = 36)

(A) 9.889 A     (B) 7.426 A     (C) 5.783     (D) 3.642 A

68.An element crystallizes as simple cubic having cell edge length 5A. What is the radius of atom of an element?

(A) 261.5 pm (B) 176.8 pm (C) 216.5 pm (D) 250.0 pm. 

69.The edge length of bee type of unit cell of an clement is 400 pm. Calculate the density of unit cell. (Molar mass of an element = 100 g mol^-1) 

(A) 2.144 g cm^-3 (B) 10.378 g cm^-3 (C) 7.289 g cm^-3 (D)5.189 g am^-3

70.The number of atoms in 100 g of an fcc crystal with density 10g cm^-3 and unit cell edge length 200 pm is equal to

(A) 1 x 10^24      (B) 3 x 10^24      (C) 2 x 10^24      (D) 5 x 10^24

71. What is the edge length of fcc type of unit cell having density and atomic mass 6.22 g cm^-3 and 60 g respectively?

(A) 6.83 x 10^-7 cm      (B) 4.0 x 10^-8 cm      (C) 3.47 x 10^-7 cm (D) 8.0 x 10^-8 cm   

72. A metallic element crystallizes to bcc type of crystal lattice, having edge length of unit cell 5 A. Calculate radius of its atom.

(A) 250.0 pm      (B) 176.8 pm      (C) 261.5 pm      (D) 216.5 pm

73. An element (atomic mass = 100 g/mol) having bcc structure has unit cell 400 pm. What is the density of the element? 

(A) 2.144 g/cm^3      (B) 10.376 g/cm^3      (C) 7.289 g/cm^3      (D) 5.188 g/cm^3

74. A metallic element has a cubic lattice with edge length of unit cell 2 A. Calculate the number of unit cells in 200 g of the metal, if density of metal is 2.5 g cm^-3? 

(A) 10.0 x 10^25      (B) 6.25 x 10^25      (C) 6.40 x 10^25      (D) 1.0 x 10^25

75.The radius of a sphere in simple cubic lattice is 3 nm. What will be the edge length of an unit 

(A) 9 x 10^-9m      (B) 6 x 10^-9m      (C) 3 x 10^-9 m      (D) 1.5 x 10^-8m

76. Silver crystallizes in face centred cubic structure, if radius of silver atom is 144.5 pm. What is the edge length of unit cell?

(A) 408.6 pm      (B) 289.0 pm      (C) 428.6 pm      (D)333.7 pm 

77. Mass of unit cell of an element is 415 x 10^-24 g. If edge length of unit cell is 3.50 x 10^-8 cm, what is the density of element? 

(A) 7.32 g/cm^3       (B) 9.67 g/cm^3       (C) 1.18 g/cm^3      (D) 4.67 g/cm^3

78. Metallic element crystallizes FCC type crystal lattice.What is the radius of atom if edge length of its unit cell is 405 pm? 

(A) 113.2 pm      (B) 143.2 pm      (C)175.3 pm      (D)202.5 pm

79. An element crystallizes in bcc type of crystal lattice having edge of unit cell 4.4 x 10^-8 cm. What is the radius of atom of an element?

(A)2.22 x 10^-8cm          (B) 3.72 x 10^-8         (C)  4.72 x 10^-8         (D) 1.905 x 10^-8

80. Atoms of elements A and B crystallise in hcp lattice to form a molecule. Element occupy 2/3 of tetrahedral voids,  the formula molecule is

(A) A3N4      (B) A3B2      (C) A4B3      (D) A2B3

81. Gold crystallizes in face centred cubic structure. If atomic mass of gold is 197 g mol^-1, the mass of unit cell of gold is

(A) 6.5 x 10^-23kg      (B) 3.25 x 10^-23kg       (C) 1.3 x 10^-24 kg       (D) 3.9 x 10^-24 kg 

82.  An element crystallizes in fee lattice. If edge length of the unit cell is 4.07 x 10-^-8 cm and density is 10.5 g cm ^-3. Calculate the atomic mass of element.

(A) 67.41 g mol^-1       (B) 10.66 g mol^-1      (C) 64.33 g mol^-1      (D) 106.6 g mol^-1 

83. Copper crystallizes with fcc unit cell. If the radius of copper atom is 127.8 pm, calculate the density of copper? (At. mass: Cu = 63.55 g mo^-1') 

(A) 9.5 g am^-3      (B) 1.89 g cm^-3      (C) 4.4 g cm^-3      (D) 8.9 g cm^-3

84. Fullerene is an example of 

(A) Covalent solid      (B) Molecular solid      (C) Ionic Solid      (D) Metallic solid 

85. The mass fcc type unit cell of copper is 419 x 10^24 g What is the mass of one atom of copper

(A) 1.047 x 10^-21      (B) 2.09 x 10^21      (C) 1.048 x 10^-22     (D) 4.19 x 10^-24 g atom^-1

86. Which among the following types of unit cells has bond angle equal to 120° between edges 'a' and 'b'?

(A) Teteragonal      (B) Hexagonal      (C) Orthothombic      (D) Monoclinic

87. Copper crystallizes as face centred cubic lattice, with edge length of unit cell 361 pm. Calculate the radius of copper atom.

(A) 108.6 pm      (B) 127.6 pm      (C) 157.6 pm      (D)181.6 pm 

88. An element crystallises in bcc structure. The number of unit cells of an element in 4 g of it is (Gwen- At mass = 40) 

(A) 2 x 0.1 N          (B) 0.2 x N          (C) 0.1 x N/2          (D) 0.1 N

89. Aluminium crystallizes in face centred cubic structure, having atomic radius 125 pm. The edge length of the unit cell of aluminium is

(A)250.0 pm      (B) 353.5 pm      (C)465.0 pm      (D)253.5 pm 

90. Which among the following is NOT paramagnetic in nature? 

(A)Benzene      (B)Fe3+      (C)Cu2+      (D)Oxygen

91. Which of the following formulae is used to find edge length of bcc unit cell?

(A) 4r/√3       (B) √3/4r      (C) √(4r/3)       (D) √8 r

92. Bcc type of crystal lattice contains 1.208 x 10^23 unit cells. How many atoms of the element are present in these unit cells ? 

(A) 6.04 x 10^23      (B) 3.618 x 10^23      (C) 1.208 x 10^23      (D) 2.416 x 10^23 

93. The edge length of fcc unit cell of xenon is 620 pm. What is the radius of Xe atom? 

(A) 235.16 pm       (B) 189.37 pm      (C) 209.87 pm      (D) 219.23 pm

94. How many lithium atoms are present in a unit cell with edge length 3.5 A and density 0.53 g cm^-3 (At. mass of Li = 6.94) 

(A) one atom      (B) four atoms      (C) two atoms     (D) six atoms

95. The edge length of bcc type of unit cell 0f metal in 5 A. What is the radius of metal atom if it's density is 2 g/cc ? 

(A) 246.5 pm      (B) 232.5 pm      (C) 176.8 pm      (D)216.5 pm


 

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