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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

288 pm

B

408 pm

C

144 pm

D

204 pm

Text Solution

Verified by Experts

The correct Answer is:
A
For fcc lattice, radius (r) is related to edge length (a)
`r = (a)/(2sqrt(2)) , a = 408 " pm " `
`r = (408)/(2 xx 1.414) = 144 " pm "`
`:.` Diameter = `2 xx 144 = 288 " pm " `.
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