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TS EAMCET · Chemistry · Solid State

A compound can crystallise in two forms \(\alpha\) and \(\beta\) which are fcc and bcc, respectively. The \(\alpha\)-form has side length of \(2 \mathrm{pm}\) and the \(\beta\)-form has side length of \(4 \mathrm{pm}\). The ratio of their density \(\frac{\rho_\alpha}{\rho_\beta}\) i

  1. A 32
  2. B 16
  3. C 8
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(B) 16

Step-by-step Solution

Detailed explanation

Density \(\left(\rho_\alpha\right)\) for \(\alpha\)-form \(=\frac{M Z_1}{N_0\left(a_1\right)^3}\) and density \(\left(\rho_\beta\right)\) for \(\beta\)-from \(=\frac{M Z_2}{N_0\left(a_2\right)^3}\) Given, side length \(\left(a_1\right)\) for \((\alpha)=2 \mathrm{pm}\) side…
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