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A metal crystallizes with a face -centre...

A metal crystallizes with a face -centred cubic lattice.The edge of the unit cells is `408` pm.The dimeter of the metal atoms is

A

`144` pm

B

`204` pm

C

`288` pm

D

`408` pm

Text Solution

Verified by Experts

The correct Answer is:
c
For fcc lattice
`4r = sqrt(2)a `
`r = (sqrt(2))/(4)a = (a)/(2sqrt(2)) = (408)/(2sqrt(2))`
`=144` pm
Diammeter `d = 2r = 2 xx 144 "pm" = 288 "pm"`
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Knowledge Check

  • A metal crystallizes with a face- centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

    A
    288 pm
    B
    408 pm
    C
    144 pm
    D
    204 pm

  • A metal crystallizes with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

    A
    288 pm
    B
    408 pm
    C
    144 pm
    D
    204 pm

  • a metal crystallizes with a face-centered cubic lattice.The edge of the unit cell is 408 pm. The diameter of the metal atom is :

    A
    `288p m`
    B
    `408 p m`
    C
    `144p m`
    D
    `204p m`

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