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Q.

A metal crystallizes in two cubic phases, face-centred cubic (fcc) and body - centred cubic (bcc), whose unit cell lengths are 3.5 and 3.0 Ao respectively.  the ratio of density of fcc and bcc is given as y.25. The value of y is

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Detailed Solution

ρ=n×MmNA×a3For face center cubic (fcc)n=4,a=3.5Å∴ ρ(fcc)=4×MmNA×(3.5)3        . . . .(1)ρbec=2×mmNA×(3.0)3                . . . .(2)From equation (1) and equation (2), we have∴ ρ(fcc)ρ(bcc)=42×33(3.5)3=4×3×3×32×3.5×3.5×3.5=1.259
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