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If 'a' stands for the edge length of the...

If 'a' stands for the edge length of the cubic systems: simple cubic, body centered cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively. 2. 

A

`(a)/(2):(asqrt3)/(2):(asqrt2)/(2)`

B

`a:sqrt3a:sqrt2a`

C

`(a)/(2):(asqrt3)/(4):(a)/(2sqrt2)`

D

`(a)/(2):sqrt3a:(a)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Simple cube :`a=2r,r=(a)/(2),BC C:a=(4r)/(sqrt3),r=(sqrt3a)/(4), FC C:a=2sqrt2r,r=(a)/(2sqrt2)`
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Knowledge Check

  • In a Face centered Cubic lattice, the packing fraction is

    A
    0.52
    B
    0.68
    C
    0.74
    D
    0.65

  • In a face centred cubic cell, an atom at the face centre is shared by:

    A
    4 unit cell
    B
    2 unit cells
    C
    1 unit cells
    D
    6 unit cells

  • The percentages of void space for simple cubic, body centred cubic and hexagonal close packed arranged respectively are

    A
    48, 32, 26
    B
    48, 26, 32
    C
    26, 48, 32
    D
    32, 48, 26

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    The percent of void space in a body - centred cubic lattice is :

    The percent of void space in a body - centred cubic lattice is

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