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JIPMER 2008
Exam
JIPMER
Year
2008
Subject
Chemistry
Chapter
Solid State

JIPMER 2008 · Chemistry · Solid State

Total volume of atoms present in a face centred cubic unit cell of...

Total volume of atoms present in a face centred cubic unit cell of a metal is ( rr is atomic radius)

Options

  1. A(\frac{16}{3} \pi r^3)
  2. B(\frac{20}{3} \pi r^3)
  3. C(\frac{24}{3} \pi r^3)
  4. D(\frac{12}{3} \pi r^3)

Correct answer

A. (\frac{16}{3} \pi r^3)

Step-by-step solution

In fcc unic cell z=4z=4  Hence, occupied volume by sphere =4×43πr3=163πr3\begin{aligned} \text{ Hence, occupied volume by sphere } & =4 \times \frac{4}{3} \pi r^3 \\ & =\frac{16}{3} \pi r^3 \end{aligned})$
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