Question

A metal crystallises 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

Answer 1

Correct option (a) \(288 \mathrm{pm}\)
Explanation:
For a face centred cubic (fcc) structure,
\(r=\frac{a}{2 \sqrt{2}}, a=408 \mathrm{pm}, r=\frac{408}{2 \sqrt{2}}=144 \mathrm{pm}\)
Diameter \(=2 r=2 \times 144=288 \mathrm{pm}\)

Answer 2

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