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JEE Advanced levelSingle correct optionDifficulty 3 of 3ss160

A metal changes from the fcc form to the bcc form on heating, with no change in the atomic radius. The ratio of the density of the bcc form to that of the fcc form is closest to

A0.919
B1.089
C0.816
D1.225

Answer: A

ρ \propto Z / a^{3}

. fcc:

a = 22 r

,

Z / a^{3} = 0.1768/ r^{3}

. bcc:

a = 4 r / 3

,

Z / a^{3} = 0.1624/ r^{3}

. Ratio bcc/fcc

= 0.919

.

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