The edge length of unit cell of a metal having molecular weight $75 \mathrm{~g} / \mathrm{mol}$ is $5 \AA$ which crystallizes in cubic lattice. If the density is $2 \mathrm{~g} / \mathrm{cc}$ then find the radius of metal atom. $\left(\mathrm{N}_{\mathrm{A}}=6 \times 10^{23}\right)$. Give the answer in pm .
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