Solid State Question 216
Question: An element (atomic mass $ 100g/mol) $ having $ bcc $ structure has unit cell edge $ 400pm. $ Then density of the element is
[CBSE PMT 1996; AIIMS 2002]
Options:
A) $ 10.376g/cm^{3} $
B) $ 5.188g/cm^{3} $
C) $ 7.289g/cm^{3} $
D) $ 2.144g/cm^{3} $
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Answer:
Correct Answer: B
Solution:
$ \rho =\frac{n\times M}{a^{3}\times N_0\times {{10}^{-30}}} $
$ =\frac{2\times 100}{{{(400)}^{3}}\times (6.02\times 10^{23})\times {{10}^{-30}}} $
$ =5.188g/cm^{3} $