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Q.

In the body centered cubic unit cell and simple cubic unit cell, the radius of atom in terms of edge length (A) of the unit cell is respectively

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a

$\frac{a}{2}, \frac{a}{2 \sqrt{2}}$

b

$\frac{a}{\sqrt{2}}, \frac{a}{2}$

c

$\frac{a}{2 \sqrt{2}}, \frac{a}{2}$

d

$\frac{\sqrt{3} a}{4}, \frac{a}{2}$

answer is D.

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Detailed Solution

Simple cubic Body centred cubic
$a = 2 R \sqrt{3} a = 4 R$
Face centred cubic
$\sqrt{2} a = 4 R$

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