Solid State Question 43

Question: An element (atomic mass $ =100g/mol $ ) having bcc structure has unit cell edge 400 pm. Then, density of the element is

Options:

A) $ 10.376g/cm^{3} $

B) $ 5.188g/cm^{3} $

C) $ 7.289g/cm^{3} $

D) $ 2.144g/cm^{36} $

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Answer:

Correct Answer: B

Solution:

[b] $ \rho =\frac{Z\times M}{N _{A}\times a^{3}} $

$ =\frac{2\times 100}{6.023\times 10^{23}\times {{( 400\times {{10}^{-10}} )}^{3}}} $

$ =5.188g/cm^{3} $