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A metal crystallizes in `bcc` lattice. The percent fraction of edge length not covered by atom isA. `10.4%`B. `13.4%`C. `12.4%`D. `11.4%`

Answer» Correct Answer - B
For bcc, `r = (sqrt(3))/(4)a `
Edge length not covered by atom `= a - 2r`
`= a-2xx (sqrt(3))//(4)a`
`= a[(2-sqrt(3))/(2)]`
`:.%` of fraction not covered `= (a[(2-sqrt(3))/(2)])/(a) xx 100`
`= 0.314 xx 100 = 13.4%`


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