Find the void volume of bec unit cell in $\mathrm{cm}^3$ if volume of unit cell is $1.5 \times 10^{-22}…

Find the void volume of bec unit cell in $\mathrm{cm}^3$ if volume of unit cell is $1.5 \times 10^{-22} \mathrm{~cm}^3$.
  1. $4.8 \times 10^{-23}$
  2. $3.6 \times 10^{-23}$
  3. $2.4 \times 10^{-23}$
  4. $1.2 \times 10^{-23}$

Solution

Volume of unit cell $=\mathrm{a}^3=1.5 \times 10^{-22} \mathrm{~cm}^3$ Void volume of bec unit cell $=0.32 \times 1.5 \times 10^{-22} \mathrm{~cm}^3=4.8 \times 10^{-23} \mathrm{~cm}^3$ ($\because$ Percentage of void volume in bec unit cell $=32 \%$)

Asked in: MHT CET 2024 (03 May Shift 2)

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