The edge length of unit cell of a metal having molecular weight \( ...

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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 \( \mathrm{pm} \).
(a) \( 217 \mathrm{pm} \)
(b) \( 210 \mathrm{pm} \)
(c) \( 220 \mathrm{pm} \)
(d) \( 205 \mathrm{pm} \)
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