A) \[\frac{1}{2}a;\frac{\sqrt{3}}{4}a:\frac{1}{2\sqrt{2}}a\]
B) \[\frac{1}{2}a;\sqrt{3}a:\frac{1}{\sqrt{2}}a\]
C) \[\frac{1}{2}a:\frac{\sqrt{3}}{2}a:\frac{\sqrt{2}}{2}a\]
D) \[1a:\sqrt{3}a:\sqrt{2}a\]
Correct Answer: A
Solution :
| [a] For simple cubic, |
| a = 2r |
| \[\therefore \]\[r=\frac{a}{2}\]For body centred cubic, \[a=\frac{4r}{\sqrt{3}}\] |
| \[r=\frac{\sqrt{3}a}{4}\] |
| For face centred cubic, |
| \[a=2\sqrt{2}r\] |
| \[r=\frac{a}{2\sqrt{2}}\] |
| Hence, the ratio of radii in simple cubic, body centred cubic and face centred cubic is |
| \[\frac{a}{2}:\frac{\sqrt{3}a}{4}:\frac{a}{2\sqrt{2}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
