InterviewSolution
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InterviewSolution
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If ‘a’ stands for the edge length of the cubic systems: simple cubic, body centered cubic and face centered cubic, then the ratio of radii of the spheres in these systems will be ............. respectively.(A) \(\cfrac{1}{2}\) a : \(\cfrac{\sqrt{3}}{2}\)a : \(\cfrac{\sqrt{3}}{\sqrt{2}}a\)(B) 1a : \(\sqrt{3}\) a : \(\sqrt{2}\)a(C) \(\cfrac{1}{2}\) a : \(\cfrac{\sqrt{3}}{4}\) a : \(\cfrac{1}{2\sqrt{2}}a\) a(D) \(\cfrac{1}{2}\)a : \(\sqrt{3}\) a : \(\cfrac{1}{\sqrt{2}}a\) |
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Answer» Correct answer is:(C) \(\cfrac{1}{2}\) a : \(\cfrac{\sqrt{3}}{4}\) a : \(\cfrac{1}{2\sqrt{2}}a\) Simple unit cell, r = a / 2 Body centered unit cell, r = \(\cfrac{a\sqrt{3}}{4}\) Face centered unit cell, r =\(\cfrac{a}{2\sqrt{2}}\) |
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