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Packing efficiency of a simple cubic (SC) arrangement is approximately
A68.0 %
B52.4 %
C74.0 %
D80.0 %
Answer & Solution
Correct answer: B. 52.4 %
1. For SC: a = 2r, so volume of one atom (sphere) = (4/3)πr³ and cell volume = a³ = 8r³.
2. Packing fraction = (4/3)π r³ / (8r³) = π/6.
3. π/6 ≈ 0.524, i.e. 52.4 %.
_Source: Maharashtra Balbharati Std XII Chemistry, Ch 1 "Solid State" §1.8_
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