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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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