A metal (X) of atomic weight $\mathrm{M} \mathrm{g} \mathrm{mol}^{-1}$ crystallizes in bcc lattice. Its…

A metal (X) of atomic weight $\mathrm{M} \mathrm{g} \mathrm{mol}^{-1}$ crystallizes in bcc lattice. Its density is $\mathrm{d} \mathrm{cm}^{-3}$. What is the equation for unit cell edge length (a)? $(\mathrm{N}=$ Avagadro number)
  1. $a=\frac{2 M}{N d}$
  2. $a=\left(\frac{2 M}{N d}\right)^{\frac{1}{2}}$
  3. $\mathrm{a}=\left(\frac{2 \mathrm{M}}{\mathrm{Nd}}\right)^{\frac{1}{3}}$
  4. $\mathrm{a}=\left(\frac{4 \mathrm{M}}{\mathrm{Nd}}\right)^{\frac{1}{3}}$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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