Solid State Question 20

Question: Total volume of atoms present in a face-centred cubic unit cell of a metal is (r is atomic radius)

Options:

A) $ \frac{12}{3}\pi r^{3} $

B) $ \frac{16}{3}\pi r^{3} $

C) $ \frac{20}{3}\pi r^{3} $

D) $ \frac{24}{3}\pi r^{3} $

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Answer:

Correct Answer: B

Solution:

[b] The face centered cubic unit cell contains 4 atom
$ \therefore $ Total volume of atoms $ =4\times \frac{4}{3}\pi r^{3}=\frac{16}{3}\pi r^{3} $