Solid State Question 247

Question: A metal has bcc structure and the edge length of its unit cell is $ 3.04{AA} $ . The volume of the unit cell in $ cm^{3} $ will be

[Orrisa JEE 2005]

Options:

A) $ 1.6\times 10^{21}cm^{3} $

B) $ 2.81\times {{10}^{-23}}cm^{3} $

C) $ 6.02\times {{10}^{-23}}cm^{3} $

D) $ 6.6\times {{10}^{-24}}cm^{3} $

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Answer:

Correct Answer: B

Solution:

Volume of unit cell $ =a^{3} $

$ ={{(3.04\times {{10}^{-8}}cm)}^{3}}=2.81\times {{10}^{-23}}cm^{3} $