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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