Home
Class 12
CHEMISTRY
The number of atoms in a cubic based uni...

The number of atoms in a cubic based unit cell having one atom on each corner and two atoms on each body diagonal is

A

8

B

6

C

4

D

9

Text Solution

Verified by Experts

There are four body diagonals. Atoms on the body diagonals are not shared by any other unit cell.
Contribution by atoms on corners = `8xx(1)/(8)` and Contribution by atoms on body diagonal = `2xx4 = 8`
Hence, total number of atoms = 9
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise LEVEL-2 (Numerical Value Type for JEE Main )|15 Videos

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise LEVEL-0 ( Long Answer Type)|6 Videos

  • SURFACE CHEMISTRY

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE|9 Videos

  • THEORY OF SOLUTIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|31 Videos

Similar Questions

Explore conceptually related problems

Calculate the number of atoms in a cubic based unit cell having one atome on each corner and two atoms on each body diagonal.

Calculate the number of atoms in a cube based unit cell having one atom on each corner and two atoms on each body diagonal.

An element crystallizes into a structure which may be describes by a cubic type of unit cell having one atom on each corner of the cube and two atoms on one of its diagonals. If the volume of this unit cell is 24xx10^(-24)cm^(3) and density of element is 7.2g cm^(-3) . Calculate the number of atoms present in 200g of element.

An element crystallizes into a structure which may be describes by a cubic type of unit cell having one atom on each corner of the cube and two atoms on one of its diagonals. If the volume of this unit cell is 24xx10^(-24)cm^(3) and density of element is 7.2g cm^(-3) . Calculate the number of atoms present in 200g of element.

An element crystallizes into structure which may be described by a cube type of unit cell having one atom on each corner of the cube and two atoms on one of its diagonals. If the volume of this unit cell is 24 xx 10^(-24) cm^3 and density of the element is 7.2 g cm^(-3) , calculate the number of atoms present in 200 g of the element.

Number of atoms in fcc unit cell is

The number of atoms in a unit cell of a cubic crystal system is 2, the arrangement of atoms is

Silicate having one monovalent corner oxygen atom in each tetrahedron unit is

A compound formed by elements X and Y has a cubic structure in which X atoms are at the corners of the cube of and two atoms (Y) are at each body diagonal of the cube. a. Calculate: (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound. b. If all atoms form one body diagonal of the cube except corners are removed, calculate: (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound.

Calculate the number of atoms in a face centred cubic unit cell.

VMC MODULES ENGLISH-THE SOLID STATE-LEVEL-1
  1. Lithium borohydride crystallizes in an orthorhombic system with 4 mole...

    Text Solution

    |

  2. KCl crystallises in the same type of lattice as does NaCl Given that r...

    Text Solution

    |

  3. The number of atoms in a cubic based unit cell having one atom on each...

    Text Solution

    |

  4. The density of a metal which crystallises in bcc lattice with unit cel...

    Text Solution

    |

  5. The unit cell of aluminium is a cube with an edge length of 405 pm. Th...

    Text Solution

    |

  6. The radius ratio (r(+)//r(-)) of an ionic solid (A^(+)B^(-)) is 0.69. ...

    Text Solution

    |

  7. A metal has bcc structure and the edge length of its unit cell is 3.04...

    Text Solution

    |

  8. In orthorhombic , the value of a, b and c are respectively 4.2Å, 8.6 Å...

    Text Solution

    |

  9. Identify the incorrect statement regarding a crystal showing Schottky ...

    Text Solution

    |

  10. Three elements P,Q and R crystallize in a cubic solid lattice. The P a...

    Text Solution

    |

  11. If a cation leaves a site in solid lattice, and is located at an inter...

    Text Solution

    |

  12. Schottky defect occurs mainly in electrovalent compounds where

    Text Solution

    |

  13. Which of the following statements is correct?

    Text Solution

    |

  14. In a face centred cubic arrangement of A and B atoms whose A atoms are...

    Text Solution

    |

  15. Which of the following defects, if present, lowers the density of the ...

    Text Solution

    |

  16. Schottky defect is generally observed in :

    Text Solution

    |

  17. The flame colours of metal ions are due to

    Text Solution

    |

  18. Doping of silicon (Si) with boron (B) leads to the formation of

    Text Solution

    |

  19. Density of a crystal remains unchanged as a result of :

    Text Solution

    |

  20. Which of the following statement is true?

    Text Solution

    |