Solid State Question 18

Question: An element having an atomic radius of 0.14 nm crystallizes in an fcc unit cell. What is the length of a side of the cell-

Options:

A) $ 0.56nm $

B) $ 0.24nm $

C) $ 0.96nm $

D) $ 0.4nm $

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Answer:

Correct Answer: D

Solution:

[d] For a fcc unit cell $ r=\frac{\sqrt{2}a}{4} $

$ a=\frac{4r}{\sqrt{2}}=2\sqrt{2}\times 0.14=0.39\approx 0.4nm. $