A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, the radius of one atom is -

  • 40 pm
  • 127 pm
  • 80 pm
  • 108 pm

A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm–3. The molar mass of the metal is :
(NA Avogadro's constant = 6.02 × 1023 mol–1)

 

  • 30 g mol–1
  • 27 g mol–1
  • 20 g mol–1
  • 40 g mol–1
The number of carbon atoms per unit cell of the diamond unit cell is:
 
 
 
 
  • 8
  • 6
  • 1
  • 4

A metal crystallizes with a fcc lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is : 

  • 288 pm

  • 408 pm

  • 144 pm

  • 204 pm

The number of octahedral void(s) per atom present in a cubic close-packed structure is : 

  • 1

  • 3

  • 2

  • 4

Sodium has body centered packing. Distance between two nearest atoms is 3.7 Å . The lattice parameter is -
 
 
 
 
  • 6.8 Å
  • 4.3 Å
  • 3.0 Å
  • 8.5 Å

If the lattice parameter for a crystalline structure is 3.6 Å, then the atomic radius in fcc crystal is : 

  • 1.81 Å

  • 2.10 Å

  • 2.92 Å

  • 1.27 Å

Percentage of free space in a body centred cubic unit cell is - 
  •   30%

  •   32%

  •   34%

  •   28%

 Silicon give p-type of semiconductor on dope with -
  •   Germanium.

  •   Arsenic.

  •   Selenium.

  •   Boron.

For a cubic crystal structure which one of the following relations indicating the cell characteristic is correct?

  •  abc and αβ and γ90°

  •  abc and α=β = γ=90°

  •  a=b=c and αβ = γ=90°

  •  a=b=c and α=β= γ=90°

CsBr crystallises in a body centred cubic lattice. The unit cell length is 436.6 pm. Given that the atomic mass of Cs = 133 and that of Br = 80 amu and Avogadro number being 6.02×1023 mol-1, the density of CsBr is :

  • 42.5 g/cm3

  • 0.425 g/cm3

  • 8.25 g/cm3

  • 4.25 g/cm3

A compound is formed by cation C and anion A. The anions form hexagonal close packed (hcp) lattice and the cations occupy 75% of octahedral voids. The formula of the compound is:

  •   C3A4

  •   C2A3

  •   C3A2

  •   C4A3

Ionic radii of Mg2+ and O2- ions are 66 pm and 140 pm respectively. The type of interstitial void and coordination number of Mg2+ ion respectively are

  • Tetrahedral, 12

  • Octahedral, 6

  • Tetrahedral, 6

  • Octahedral, 8

An element crystallizes in a structure having FCC unit cell of an edge length 200 pm. If
200 g this element contains 24 x 1023 atoms, the density of the element is

  • 50.3 g/cc

  • 63.4 g/cc

  • 41.6 g/cc

  • 34.8 g/cc

A cube of any crystal A-atom placed at every corners and B-atom placed at every centre of face. The formula of compound is :

  • AB

  • AB3

  • A2B2

  • A2B3

Schottky defect shows :

  •   Same number of cation and anions decrease from lattice.
  •   Cations and anions are replaces from their sites.
  •   Maximum number of cations and anions are same.
  •   None of the above.

A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face-centers. The formula of the compound is :-

  • X3Y

  • XY

  • XY2

  • XY3

In the spinel structrue, oxides ions are cubical-closest packed whereas 1/8th of tetrahedral voids are occupied by A2+ cation and 1/2 of octahedral voids are occupied by B3+ cations. The general formula of the compound having spinel structure is :

  •  A2B2O4

  •  AB2O4

  •  A2B4O2

  •  A4B2O2

A compound that shows Schottky as well as Frenkel defect among the following is -

  • ZnS               

  • AgBr             

  • NaCl                 

  • AgCl

The edge length of fcc unit cell of NaCl is 508 pm.
If the radius of cation is 110 pm then radius of the anion is : 

  • 244 pm

  • 144 pm

  • 288 pm

  • 398 pm

The formula of nickel oxide with metal deficiency defect in its crystal is Ni0.98O. The crystal contains Ni2+ and Ni3+ ions. The fraction of nickel existing as Ni2+ ions in the crystal is-

  • 0.96

  • 0.04

  • 0.50

  • 0.31

An ionic compound has a unit cell consisting of A ions at the corners of a cube and B
ions on the centers of the faces of the cube. The empirical formula for this compound
would be : 

  • AB 

  • A2B

  • AB3

  • A3B

An element occurring in the bcc structure has 12.08×1023 unit cells. The total number of atoms of the element in these cells will be:

  •  24.16×1023

  •  36.18×1023

  •  6.04×1023

  •  12.08×1023

If an element (at. Wt. = 50) crystallises in fcc lattice, with a = 0.50 nm.The density of unit cell if it contains 0.25% Schottky defects is -

(Use NA=6×1023

  • 2.0 g/cc

  • 2.66 g/cc

  • 3.06 g/cc

  • None of the above.

An element has a body-centered cubic (BCC) structure with a cell edge of 288 pm. The atomic radius is:

  •  24×288 pm

  •  43×288 pm

  •  42×288 pm

  •  34×288 pm

Assertion: Due to Frenkel defect, density of the crystalline solid decreases.
Reason: in Frenkel defect cation and anion leaves the crystal.

  • Both assertion and reason are true and reason is the correct explanation of assertion.

  • Both assertion and reason are true but reason is not the correct explanation of assertion.

  • Assertion is true but reason is false.

  • Both assertion and reason are false.

The crystal with a metal deficiency defect is - 

  • NaCl 

  • FeO

  • ZnO 

  • KCl

The radius ratio (r+/r-) of KF is 0.98. The structure of KF is similar to

  • NaCl

  • CsCl

  • ZnS

  • Both 1 and 2

A compound formed by elements A and B crystallizes in cubic structure where A atoms are at the corners or a cube and B atoms are at the face centre. The formula of the compound is :

  • AB

  • AB2

  • AB3

  • AB4

ln NaCl, the chloride ions occupy the space in a Fashion of 

  •  BCC

  •  FCC

  •  Both 

  •  None of the above 

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