A solid has a structure in which ' $W$ ' atoms are located at the corners of a cubic lattice ' $O$ ' atom at the center of the edge and $N a$ atoms at the center of the cube. The formula for the compound is:

N a_{2} W O_{3}

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N a_{2} W O_{2}

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N a W O_{2}

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N a W O_{3}

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Solution

The correct option is D $N a W O_{3}$
In a unit cell, W atoms at the corner $= \frac{1}{8} \times 8 = 1$

$O$ -atoms at the centre of edge $= \frac{1}{4} \times 12 = 3$

Na atoms at the center of the cube $= 1$

$W : O : N a = 1 : 3 : 1$

Hence, $f o r m u l a = N a W O_{3}$

So, the correct option is $D$

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