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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 ______.
Options
288 pm
408 pm
144 pm
204 pm
MCQ
Fill in the Blanks
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Solution
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 288 pm.
Explanation:
For a face-centred cubic (FCC) structure, `r = a/(2 sqrt 2)`
a = 408 pm
`r = 408/(2 sqrt 2)`
r = 144 pm
Diameter = 2r
= 2 × 144
Diameter = 288 pm
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