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BITSAT 2009
Exam
BITSAT
Year
2009
Subject
Chemistry
Chapter
Solid State

BITSAT 2009 · Chemistry · Solid State

The atomic radius of atom is r. Total volume of atoms present in a...

The atomic radius of atom is r. Total volume of atoms present in a fccf c c unit cell of an element is

Options

  1. A243πr3\frac{24}{3} \pi r^{3}
  2. B123πr3\frac{12}{3} \pi r^{3}
  3. C163πr3\frac{16}{3} \pi r^{3}
  4. DNone

Correct answer

C. 163πr3\frac{16}{3} \pi r^{3}

Step-by-step solution

4 atom are present in fccf c c. So,V=4[43π\mathrmr3]=163π\mathrmr3\mathrm{So}, \mathrm{V}=4\left[\frac{4}{3} \pi \mathrmr^{3}\right]=\frac{16}{3} \pi \mathrmr^{3}
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