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Question

Chemistry Question on The solid state

If 'a' stands for the edge length of the cubic systems - The ratio of radii in simple cubic, body centered cubic and face centered cubic unit cells is

A

1a:3a:2a1a:\sqrt3a:\sqrt2a

B

12a:34a:122a\frac{1}{2}a:\frac{\sqrt3}{4}a:\frac{1}{2\sqrt2}a

C

12a:32a:22a\frac{1}{2}a:\frac{\sqrt3}{2}a:\frac{\sqrt2}{2}a

D

12a:3a:12a\frac{1}{2}a:\sqrt3a:\frac{1}{\sqrt2}a

Answer

12a:34a:122a\frac{1}{2}a:\frac{\sqrt3}{4}a:\frac{1}{2\sqrt2}a

Explanation

Solution

The correct answer is (B) : 12a:34a:122a\frac{1}{2}a:\frac{\sqrt3}{4}a:\frac{1}{2\sqrt2}a/