In a close-packed body-centred cubic 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) \(r=\frac{\sqrt{3}}{4} a\)
Ans: (D)
In bcc lattice, \(4 r\) is \(\sqrt{3}\) a