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Atomic Number and Mass Number

What is the t...

Question

What is the total volume of the particles present in a body centered unit cell?

A

8 π r^{3}

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B

\frac{8}{3} π r^{3}

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C

\frac{16}{3} π r^{3}

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D

\frac{32}{3} π r^{3}

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Solution

The correct option is B $\frac{8}{3} π r^{3}$
Since particles are assumed to be spheres, volume of one sphere is $\frac{4}{3} π r^{3}$ , total volume of all particles in BCC = $2 \times \frac{4}{3} π r^{3} = \frac{8}{3} π r^{3}$ since a BCC has 2 particles per unit cell.

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