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} $

Show Answer

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} $