If ‘a’ stands for the edge length of the cubic systems: simple cubic, body centred cubic…

Chemistry · JEE Advanced · NTA ExamsSolid State

If ‘a’ stands for the edge length of the cubic systems: simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively.
  1. \(1 \mathrm{a}: \sqrt{3} \mathrm{a}: \sqrt{2} \mathrm{a}\)
  2. \(\frac{1}{2} \mathrm{a}: \frac{\sqrt{3}}{4} \mathrm{a}: \frac{1}{2 \sqrt{2}} \mathrm{a}\)
  3. \(\frac{1}{2} a: \sqrt{3} a: \frac{1}{\sqrt{2}} a\)
  4. \(\frac{1}{2} \mathrm{a}: \frac{\sqrt{3}}{2} \mathrm{a}: \frac{\sqrt{2}}{2} \mathrm{a}\)

Answer

(B) 1 2 a : 3 4 a : 1 2 2 a

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