A metal crystallises in bcc. Find the % fraction of edge le…

Chemistry Solid State General Single Correct MCQ

Published on: August 13, 2026

A metal crystallises in bcc. Find the % fraction of edge length not covered and also % fraction of edge length covered by atom is :

10.4%

13.4%

86.6%

11.4%

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(b,c) In bcc r =

also, edge length of unit cell = a

radius of atom = r

∴ Edge length not covered by atom = a – 2r

or a – .a = a

∴ Percentage fraction not covered = × 100 = 0.134 × 100 = 13.4%

∴ Percentage fraction of covered = (100 – 13.4) % = 86.6%

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