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

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π32

π42

π4

π6

answer is D.

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Detailed Solution

Volume of cube =a3Volume of unit cell =1×43πr3=43π(a2)3=πa36∴ packing fraction =πa36a3=π6 ORIn simple cubic latticepacking fraction = volume occupied by one atomvolume of one cubic unit cell =43πr3(2r)3 = 43πr38r3 = π6=0.524

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