Solid State Question 237

Question: Sodium metal crystallizes as a body centred cubic lattice with the cell edge 4.29 Å. What is the radius of sodium atom

[AIIMS 1999]

Options:

A) $ 1.857\times {{10}^{-8}}cm $

B) $ 2.371\times {{10}^{-7}}cm $

C) $ 3.817\times {{10}^{-8}}cm $

D) $ 9.312\times {{10}^{-7}}cm $

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Answer:

Correct Answer: A

Solution:

Radius of $ Na $ (if bcc lattice) $ =\frac{\sqrt{3}a}{4} $

$ =\frac{\sqrt{3}\times 4.29}{4} $

$ =1.8574{\AA}=1.8574\times {{10}^{-8}}cm $