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Q.

Total volume of atoms present in a face centered cubic unit cell of a metal is

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a

$\frac{16}{3} π r^{3}$

b

$\frac{24}{3} π r^{3}$

c

$\frac{20}{3} π r^{3}$

d

$\frac{12}{3} π r^{3}$

answer is C.

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Detailed Solution

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Total volume of sphere $= Z \times 4 / 3 π r^{3}$ ,

For $FCC Z = 4 = 4 \times 4 / 3 π r^{3} = 16 / 3 π r^{3}$

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