An element has ABAB..... type close-packed structure. The radius of an atom of the element is $300$ pm. What is the distance between two adjacent layers?

600 \sqrt{\frac{2}{3}}

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1200 \sqrt{\frac{3}{2}}

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1200 \sqrt{\frac{2}{3}}

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600 \sqrt{\frac{3}{2}}

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Solution

The correct option is A $600 \sqrt{\frac{2}{3}}$ pm
The distance between the two layers is
$\begin{matrix} = r \times 2 \sqrt{\frac{2}{3}} = 300 \times 2 \sqrt{\frac{2}{3}} = 600 \sqrt{\frac{2}{3}} \end{matrix}$
Hence the option (A) is correct

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