In a body-centred cubic $(bcc)$ lattice of potassium, the correct relation between the atomic radius $(r)$ of potassium and the edge-length $(a)$ of the cube is:

  • A
    $r = \frac{a}{\sqrt{2}}$
  • B
    $r = \frac{a}{\sqrt{3}}$
  • C
    $r = \frac{\sqrt{3}}{2} a$
  • D
    $r = \frac{\sqrt{3}}{4} a$

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