NEET 2007 Chemistry question

Not in JEE Main or NEET syllabus

The fraction of total volume occupied by the atoms present in a simple cube is

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

In a simple cubic unit cell there is 1 atom per cell (8 corners x 1/8) and the atoms touch along the edge, so . Packing fraction \frac{\frac{4}{3}π r^3}{a^3}\frac{\frac{4}{3}π (a/2)^3}{a^3}\frac{π}{6}$ =

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Question ID VK-089852