If $A$ is the atomic mass number of an element, $N$ is the Avogadro number and $a$ is the lattice parameter, then the density of the element, if it has bcc crystal structure, is_________.

\frac{A}{N a^{3}}

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\frac{2 A}{N a^{3}}

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\frac{\sqrt{3} A}{N a^{3}}

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\frac{2 \sqrt{2} A}{N a^{3}}

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Solution

The correct option is B $\frac{2 A}{N a^{3}}$
$d = \frac{Z \times A}{N \times a^{3}}$

$F o r b c c, Z = 2$
$d = \frac{2 A}{N a^{3}}$

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