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 $
Show Answer
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 $