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Question

A metal crystallizes in bcc lattice. The percent fraction of edge length not covered by atom is :


A
10.4%
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B
13.4%
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C
12.4%
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D
11.4%
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Solution

The correct option is C $$13.4\%$$
In BCC lattice, $$ 4r = a\sqrt{3}$$
Fraction of each edge covered by atoms is $$ \dfrac{2r}{a} = \dfrac{a\sqrt{3}}{2a} = 86.6 \% $$
Therefore the fraction of edge not covered by atom is $$ 13.4 \% $$

Chemistry

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