Solid State Question 88

Question: A metal crystallizes into two cubic phases, face centred cubic (fee) and body centred cubic (bcc) whose unit cell lengths are 3.5 and $ 3.0\overset{o}{\mathop{A}} $ respectively. Calculate the ratio of the densities of fee and bee.

Options:

A) 1.67

B) 1.26

C) 6.23

D) 1.04

Show Answer

Answer:

Correct Answer: B

Solution:

[b] FCC has 4 atoms in a unit cell BCC has 2 atoms in a unit cell $ d=\frac{z\times M}{N_0\times a^{3}} $ $ \frac{d _{FCC}}{d _{BCC}}=\frac{4}{2}\frac{{{(3.0)}^{3}}}{{{(3.5)}^{3}}}=1.26 $