Home
Class 11
CHEMISTRY
If atomic redius of barium is 2.176Å and...

If atomic redius of barium is `2.176Å` and it crystallises in b.c.c. unit cell, the edge length of unit cell is

A

`3.512Å`

B

`2.483Å`

C

`5.025Å`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C

Cube diagonal
`4r=sqrt3a`
`a=4/sqrt3r=(4times2.176)/sqrt3Å=5.025Å`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STATES OF MATTER (SOLID STATE CHEMISTRY)

    DINESH PUBLICATION|Exercise REVISION QUESTIONS FROM COMPETITIVE EXAMS|104 Videos
  • STATES OF MATTER (SOLID STATE CHEMISTRY)

    DINESH PUBLICATION|Exercise SELECTED STRAIGHT OBJECTIVE TYPE MCQs|23 Videos
  • STATES OF MATTER (SOLID STATE CHEMISTRY)

    DINESH PUBLICATION|Exercise ULTIMATE PREPARATORY PACKAGE|21 Videos
  • STATE OF MATTER (GASEOUS AND LIQUID STATE)

    DINESH PUBLICATION|Exercise Ulitmate Preparatory package|20 Videos
  • STATES OF MATTER : GASES AND LIQUIDS

    DINESH PUBLICATION|Exercise Statement Type Question|5 Videos

Similar Questions

Explore conceptually related problems

Gold [atomic radius = 0.144 nm] crystallises in face-centred unit cell. What is the length of a side of the cell ?

A certain element crystallises in a bcc lattice of unit cell edge length 27Å. If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in Å will - (Round off to the Nearest Integer). [Assume each lattice point has a single atom] [Assume sqrt3 =1.73, sqrt2=1.41]

Knowledge Check

  • An element having an atomic radius of 0.14 nm crystallises in a fcc unit cell. What is the length of side of the cell ?

    A
    0.56 nm
    B
    0.24 nm
    C
    0.96 nm
    D
    0.4 nm
  • A metal crystallises in a simple cubic unit cell. If the edge length of the unit cell is 565.6 pm then, radius of metal atom is

    A
    282.8 pm
    B
    400 pm
    C
    200 pm
    D
    245 pm
  • Similar Questions

    Explore conceptually related problems

    Gold (atomic radius = 0.144 nm) crystallises in a face centred unit cell. What is the length of the side of the cell.

    Gold (atomic radius =0.144 nm) crystallises in a face centred unit cell. What is the length of the side of the cell ?

    Gold (atomic radius = 0.144nm) crystallises in a face centred unit cell. What is the length of the side of the 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.

    Platinum (atomic radius = 1.38 Å ) crystallises in a cubic closed packed structure. Calculate the edge length of the face-centred cubic unit cell and the density of the platinum (Pt = 195)

    A metal crystallises in a simple cubic unit cell. If the edge length of the unit cell is 565.6 pm then, radius of metal atom is