Allied & ICAR Exam Bank • ALLIED_1822 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

What is the atomic packing factor of a simple cubic (SC) crystal lattice of identical spheres?

Options:

  • (A) pi / 6 approx 0.52
  • (B) 0.68
  • (C) 0.74
  • (D) 0.34

Answer Key:

A

Step-by-Step Solution & Explanation

In a simple cubic cell of side a = 2R, volume of 1 sphere = (4/3)*pi*R^3, cube volume = 8R^3. APF = (4/3)*pi / 8 = pi / 6 approx 0.524.
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