The correct relationship between unit cell edge length '$a$' and radius of sphere '$r$' for face-centred and body-centred cubic structures respectively are:
- A$r = 2 \sqrt{2} a$ and $\sqrt{3} r = 4 a$
- B$r = 2 \sqrt{2} a$ and $4 r = \sqrt{3} a$
- C$2 \sqrt{2} r = a$ and $4 r = \sqrt{3} a$
- D$2 \sqrt{2} r = a$ and $\sqrt{3} r = 4 a$
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View SolutionCalculate the number of atoms per unit cell of an element having a molar mass of $92.0 \ g \ mol^{-1}$ and a density of $8.6 \ g \ cm^{-3}$ forming a cubic unit cell structure. Given $[a^3 \times N_{A} = 21.5 \ cm^3 \ mol^{-1}]$.
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