Home
Class 12
CHEMISTRY
The radius of an atom of an element is 5...

The radius of an atom of an element is `500` pm. If it crystallizes as a face-centred cubic lattice, what is the length of the side of the unit cell?

A

`176.8` pm

B

`1154.7` pm

C

1414 pm

D

1000 pm

Text Solution

Verified by Experts

The correct Answer is:
C

For fcc `r=(a)/(2sqrt(2))` or `a=2sqrt(2)`
`=2xx1.414xx500=1414` pm.
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    NIKITA PUBLICATION|Exercise Question from Competition Exam|39 Videos
  • SOLID STATE

    NIKITA PUBLICATION|Exercise Multiple Choice Questions (V. PROPERTIES OF SOLIDS )|28 Videos
  • POLYMERS

    NIKITA PUBLICATION|Exercise MCQs|191 Videos
  • SOLUTION & COLLIGATIVE PROPERTIES

    NIKITA PUBLICATION|Exercise Questions from Competition Exam|43 Videos

Similar Questions

Explore conceptually related problems

The radius of an atom of an element is 600 pm. If it crystallizes as a face centred cubic lattice, what is the length of the side of the unit cell?

The radius of copper atom is 128 pm. It it crystallises in face centred cubic lattice (fcc), what will be the length the edge of the unit cell ?

The radius of chromium atom is 1.25Å . If it crystallises in body centred cubic lattice, calculate the length of the edge of the unit cell.

If the radius of an atom of an elements is 75 pm and the lattice type is body-centred cubic, what is the edge length of the unit cell?

Gold (atomic radius = 0.154 nm ) crystallizes in a face centred unit cell. What is the length of a side of the cell.

NIKITA PUBLICATION-SOLID STATE -Multiple Choice Questions (I. CRYSTAL STRUCTURE )
  1. A compund is made of two elements P and Q are in ccp arrangement while...

    Text Solution

    |

  2. In a crystalline solid, having formula AB(2)O(4) oxide ions are arrang...

    Text Solution

    |

  3. The radius of an atom of an element is 500 pm. If it crystallizes as a...

    Text Solution

    |

  4. The C - C and Si - C interatomic distances are 154 pm and 188 pm respe...

    Text Solution

    |

  5. If the radius of an atom of an elements is 75 pm and the lattice type ...

    Text Solution

    |

  6. Silver metal crystallises in a cubic closed packed arrangement with ed...

    Text Solution

    |

  7. The percentage of empty space in a body centred cubic arrangement is :

    Text Solution

    |

  8. Solid A^(+)B^(-) has a bcc structure .If the distance of closest appor...

    Text Solution

    |

  9. The ionic radius of Cl^(-) ion is 1.81 Å . The inter-ionic distanc...

    Text Solution

    |

  10. An alloy of copper, silver and gold is found to have copper constituti...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A binary solid (A^(+)B^(+)) has a rock sell structure .If the edge len...

    Text Solution

    |

  14. A solid AB has the NaCL structure, If radius of cation A^(+) is 120 pm...

    Text Solution

    |

  15. CsCl has bcc structure with Cs^(+) at the centre and Cl^(-) ion at eac...

    Text Solution

    |

  16. KCl crystallises in the same type of lattice as does NaCl. Given (r...

    Text Solution

    |

  17. Edge length of M^(+)X^(-) (fcc structure) is 7.2^(@)A. Assuming M^(+)-...

    Text Solution

    |

  18. Gold (atomic radius = 0.144nm) crystallises in a face centred unit cel...

    Text Solution

    |

  19. The edge of unit of FC C Xe crystal is 620 pm .The radius of Xe atom i...

    Text Solution

    |

  20. Caculate the ionic radius of a Cs^(+) ion, assuming that the cell ed...

    Text Solution

    |