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If a is the length of the side of a cube...

If a is the length of the side of a cube, the distance between the body-centred atom and one corner atom in the cube will be

A

`2/sqrt3 a`

B

`4/sqrt3 a`

C

`sqrt3/4 a`

D

`sqrt3/2 a`

Text Solution

Verified by Experts

The correct Answer is:
D
The distance between the body-centred atom and one corner atom `(sqrt3a)/2` is i.e. half of the body diagonal.
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Knowledge Check

  • If a is the length of the side a cubic unit cell the distance between the body -centred atoms and one correct atoms in the cube will be

    A
    `(2)/(sqrt(3)) a`
    B
    `sqrt(3)/(2) a`
    C
    `(4)/(sqrt(3)) a`
    D
    `sqrt(3)/(4) a`

  • The distance between the body-centred atom and one corner atom in sodium is (a = 424 pm)

    A
    7.35 Å
    B
    1.5 Å
    C
    2.12 Å
    D
    3.67 Å

  • The distance between the body centred atom and a corner atom in sodium (a = 4.225 Å) is

    A
    `3.66 Å`
    B
    `3.17 Å`
    C
    `2.99 Å`
    D
    `2.54 Å`

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