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A metal crystallizes in bcc lattice. The...

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

A

`10.4%`

B

`13.4%`

C

`12.4%`

D

`11.4%`

Text Solution

Verified by Experts

The correct Answer is:
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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