The only INCORRECT statement for cubic metall | vedclass

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(C) Let us analyze each statement for cubic systems:$1$. Packing efficiency: $SC = 52.4\%$,$BCC = 68\%$,$FCC = 74\%$. Thus,$FCC$ is maximum. Statement

Vedclass · Accepted Answer

For same edge-length of unit cell,the atomic radius is minimum for $SC$

Vedclass · Answer

(C) Let us analyze each statement for cubic systems:$1$. Packing efficiency: $SC = 52.4\%$,$BCC = 68\%$,$FCC = 74\%$. Thus,$FCC$ is maximum. Statement $A$ is correct.$2$. Co-ordination number: $SC = 6$,$BCC = 8$,$FCC = 12$. Thus,$SC$ is minimum. Statement $B$ is correct.$3$. Atomic radius $(r)$ in terms of edge length $(a)$: For $SC$,$r = a/2 = 0.5a$. For $BCC$,$r = \sqrt{3}a/4 \approx 0.433a$. For $FCC$,$r = a/(2\sqrt{2}) \approx 0.354a$. Thus,for the same edge length,$r$ is maximum for $SC$,not minimum. Statement $C$ is incorrect.$4$. Edge length $(a)$ in terms of atomic radius $(r)$: For $SC$,$a = 2r$. For $BCC$,$a = 4r/\sqrt{3} \approx 2.31r$. For $FCC$,$a = 2\sqrt{2}r \approx 2.828r$. Thus,for the same atomic radius,$a$ is minimum for $SC$. Statement $D$ is correct.

The only $INCORRECT$ statement for cubic metallic crystal is

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