In the closest packing of atoms $A (radius : r_{a})$ , the radius of atom $B$ that can be fitted into tetrahedral void is:

0.155 r_{a}

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0.732 r_{a}

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0.225 r_{a}

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0.414 r_{a}

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Solution

The correct option is C $0.225 r_{a}$
Limiting radius ratio of tetrahedral void,
$\frac{r_{c}}{r_{a}} = 0.225$
$\Rightarrow r_{c} = 0.0225 r_{a}$
Where ,
$r_{c} = r_{c a t i o n} and r_{a} = r_{a n i o n}$ .

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