AP EAMCET · Chemistry · Solid State
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)
- A \(a=\frac{2 M}{N d}\)
- B \(a=\left(\frac{2 M}{N d}\right)^{\frac{1}{2}}\)
- C \(\mathrm{a}=\left(\frac{2 \mathrm{M}}{\mathrm{Nd}}\right)^{\frac{1}{3}}\)
- D \(\mathrm{a}=\left(\frac{4 \mathrm{M}}{\mathrm{Nd}}\right)^{\frac{1}{3}}\)
Answer & Solution
Correct Answer
(C) \(\mathrm{a}=\left(\frac{2 \mathrm{M}}{\mathrm{Nd}}\right)^{\frac{1}{3}}\)
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