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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

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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
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Correct Answer - C
For fcc,lattice , ` r = a/(2sqrt2) = 0.3535 a `
= `0.3535 xx 408 "pm" = 144 "pm"`
Diameter = 2 r = 288 pm.
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