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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

The volume of atoms ( radiusr ) present in fcc unit cell of metal...

The volume of atoms (radiusr)( radiusr ) present in fcc unit cell of metal is :

Options

  1. A203\pir3\dfrac{20}{3}\pir^{3}
  2. B243\pir3\dfrac{24}{3}\pir^{3}
  3. C123\pir3\dfrac{12}{3}\pir^{3}
  4. D163\pir3\dfrac{16}{3}\pir^{3}

Correct answer

D. 163\pir3\dfrac{16}{3}\pir^{3}

Step-by-step solution

Volume of atom in a cell \text{=}\dfrac{4}{3} {\text{\pi r}^{3} \text{\times}\text{N} \left(\text{N}\text{=}\text{4}\text{for}\text{fcc}\right)<br />=\dfrac{4}{3} \times \pir^{3} \times4 = \dfrac{16}{3}\pir^{3}
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