From the fact that the length of the side of a unit cell of lithium is 351 pm. Calculate its

atomic radius. Lithium forms body-centered cubic crystals.

  • 152.69 pm

  • 62.71 pm

  • 151.98 pm

  • 54.61 pm

Atomic radius of silver is 144.5 pm. The unit cell of silver is a face centred cube. Calculate the density of silver.

  • 10.50 g/cm3

  • 16.50 g/cm3

  • 12.30 g/cm3

  • 15.50 g/cm3

A metallic elements exists as a cubic lattice. Each edge of the unit cell is 2.88Å. The density of the metal is 7.20 g cm–3.Number of unit cells will be present in 100 gm of the metal is: 

  • 5.82 × 1023

  • 16.33 × 1023

  • 7.49 × 1024

  • 6.9 × 1024

Silver crystallizes in a face centred cubic system, 0.408 nm along each edge. The density of silver is 10.6 g/cm3 and the atomic mass is 107.9 g/mol. Calculate Avogadro's number.

  • 6.00×1023 atom/mol

  • 9.31×1023 atom/mol

  • 6.23×1023 atom/mol

  • 9.61×1023atom/mol

Fraction of total volume occupied by atoms in a simple cube is

  • π2

  • 3π8

  • 2π6

  • π6

A solid AB has the NaCl structure. If radius of cation A+ is 120 pm, calculate the maximum possible value of the radius of the anion B

  • 240 pm

  • 280 pm

  • 270 pm

  • 290 pm

The first order reflection (n = 1) from a crystal of the X-ray from a copper anode tube (λ=0.154nm) occurs at an angle of 16.3°. What is the distance between the set of planes causing the diffraction.

  • 0.374nm

  • 0.561nm

  • 0.274nm 

  • 0.395nm

The diffraction of barium with X-radiation of wavelength 2.29Å gives a first – order reflection at 30°. What is the distance between the diffracted planes.

  • 3.29 Å

  • 4.39 Å

  • 2.29 Å

  • 6.29 Å

When an electron in an excited Mo atom falls from L to the K shell, an X-ray is emitted. These X-rays are diffracted at angle of 7.75o by planes with a separation of 2.64Å. What is the difference in energy between K-shell and L-shell in Mo assuming a first-order diffraction. (sin7.75o=0.1349)

  • 36.88 ×1015J

  • 27.88×1016J

  • 63.88 ×1017J

  • 64.88×1016J

Which is the incorrect statement?

  • Fe0.95O has non-stoichiometric metal deficiency defect

  • Density decreases in case of crystals with Schottky's defect

  • NaCI(s) is insulator, silicon is semiconductor, silver is conductor, quartz is piezoelectric crystal

  • Frenkel defect is favoured in those ionic compounds in which sizes of cation and anions are almost equal

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion (Ca2+) and fluoride ion (F-) are

  • 4 and 2                   

  • 6 and 6

  • 8 and 4                   

  • 4 and 8

Lithium has a bcc structure. Its density is 530 kg m-3 and its atomic mass is 6.94 gmol-1.

The edge length of a unit cell of lithium metal is -

(NA=6.02 x1023 mol-1)

 

  • 352 pm

  • 527 pm

  • 264 pm

  • 154 pm

The ionic radii of A+ and B- ions are 0.98 x 10-10 m and 1.81 x10-10 m.  The coordination

number of each ion in AB is.

 

  • 4

  • 8

  • 2

  • 6

The correct statement regarding defects in the crystalline solid is

  • Schottky defects have no effect on the density of crystalline solids

  • Frenkel defects decreases the density of crystalline solids

  • Frenkel defcct is a dislocation defect

  • Frenkel defect is found in halides of alkaline metals

The vacant space in bcc lattice cell is ;

  • 26%

  • 48%

  • 23%

  • 32%

if a is the length of the side of a cube, the distance between the body centered atom and

one corner atom in the cube will be :-

  •  23a

  •  43a

  •  34a

  •  32a

Copper crystallises in a face-centred cubic lattice with a unit cell length of 361 pm. What

is the radius of copper atom in pm?

 

  • 128

  • 157

  • 181

  • 108

Lithium metal crystallises in a body centred cubic crystal. If the length of the side of the

unit cell of lithium is 351 pm, the atomic radius of the lithium will be

  • 240.8 pm

  • 151.8 pm

  • 75.5 pm

  • 300.5 pm

The incorrect statement among the following is -

  • The fraction of the total volume occupied by the atoms in a primitive cell is 0.48.

  • Molecular solids are generally volatile.

  • The number of carbon atoms in an unit cell of diamond is 8.

  • The number of Bravais lattices in which a crystal can be categorized is 14.

If 'a' stands for the edge length of the cubic systems: simple cubic, body centered cubic and face centered cubic, then the ratio of radii of the spheres in these systems will be respectively,

(a) 12a: 34a:122a     (b) 12a:3a:12a(c) 12a:32a:22a        (d) 1a:3a:2a

  • 1
  • 2
  • 3
  • 4

Percentage of free space in a body centered cubic unit cell is

  • 30%                       

  • 32%

  • 34%                       

  • 28%

With which one of the following elements silicon should be doped so as to give p-type of semiconductor?

  • Germanium

  • Arsenic

  • Selenium

  • Boron

The fraction of total volume occupied  by the atoms present in a simple cube is:

1. π/6              2. π/323. π/42        4. π/4

  • 1
  • 2
  • 3
  • 4

A compound forms hcp structure. The total number of voids in 0.5 mol will be- 

  •  9.033×1023

  • 6.011×1023

  • 5.023×1023

  • 7.033×1023

Iron has a body centred cubic unit cell with the cell dimension of 286.65 pm. Density of iron is 7.87 g cm-3. The value of  Avogadro's number based on this data will be -

(Atomic mass of Fe = 56.0 u)

  •   6.04 x 1023 mol-1

  •   12.08 x 1024 mol-1

  •   6 x 1022 mol-1

  •   6 x 10-23 mol-1

Niobium crystallizes in body-centred cubic structure. If its density is 8.55 g cm-3, calculate atomic radius of niobium, given its atomic mass 93u.

3.  133 ρm

  •   149 cm

  •   143 ρm

  • 4.  143 cm

  • 4

Assertion : An important feature of Fluorite structures is that cations being large in size occupy FCC

lattice points whereas anions occupy all the tetrahedral voids giving the formula unit AB2(A: cation B: anion).

Reason : There are 6 cations and 12 anions per FCC unit cell of the Fluorite structure.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
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Assertion : In NaCl crystal each Na ion is touching 6 Cl ions but these Cl ions do not touch each other.

Reason : The radius ratio roe rNa/rCl- is greater than 0.414, required for exact fitting.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
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  • 3
  • 4

Assertion : The ratio of Zn2+ and F- per unit cell of ZnS and CaF2 is 1:2. 

Reason : In ZnS Zn2+ ions occupy alternate tetrahedral voids and in CaF2 F- ions occupy all the tetrahedral voids of FCC unit cell.

 

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
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  • 3
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Sodium metal crystallizes in bcc lattice with cell edge =4.29 A0. The radius of sodium atom will be-

  • (1) 50 A0                                                 

  • (2) 1.86  A0

  • (3) 2.80 A0                                               

  • (4) None of these 

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