Semiconducting Devices Solids And Crystals Question 18

Question: Atomic radius of fcc is [J & K CET 2001]

Options:

A) $ \frac{a}{2} $

B) $ \frac{a}{2\sqrt{2}} $

C) $ \frac{\sqrt{3}}{4}a $

D) $ \frac{\sqrt{3}}{2}a $

Answer:

Correct Answer: B

Solution:

For the fcc structure $ 4r={{(a^{2}+a^{2})}^{1/2}} $ $ =a\sqrt{2} $
Þ $ r=\frac{a\sqrt{2}}{4}=\frac{a}{2\sqrt{2}} $