MHT CET 2022 Chemistry question

Not in JEE Main or NEET syllabus

What is the void volume in the crystal lattice formed by bcc unit cell?

(A)32%Correct
(B)30%
(C)47.64%
(D)26%

Answer: (A)

Solution

In a bcc unit cell, atoms and the atoms touch along the body diagonal: , so . Packing efficiency \dfrac{2×\frac{4}{3}π r^3}{a^3}\dfrac{\frac{8}{3}π(\frac{\sqrt3}{4})^3 a^3}{a^3}$ =

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Question ID VK-097113