JEE Main Chemistry question

Not in JEE Main or NEET syllabus

The maximum proportion of available volume that can be filled by hard spheres in diamond is

(A)0.52
(B)0.34Correct
(C)0.32
(D)0.68

Answer: (B)

Solution

The diamond cubic structure is a relatively open lattice (each atom tetrahedrally bonded to only 4 neighbours), and its packing fraction works out to . This is lower than

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Question ID VK-141595