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a metal crystallizes with a face-centere...

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

288 pm

B

408 pm

C

144 pm

D

204 pm

Text Solution

Verified by Experts

The correct Answer is:
A

In FCC, `4r = sqrt2 a`
diameter `(2r) = (a)/(sqrt2)`
` (408)/(sqrt2) = 288 ` pm
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