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JEE Advanced levelSingle correct optionDifficulty 3 of 3pb074

Diamond has a face-centred cubic arrangement of carbon atoms with four more carbons in alternate tetrahedral voids. If the cubic cell edge is 357 pm, the C--C bond length is (use $3 = 1.732$ )

A154.6 pm
B178.5 pm
C309.2 pm
D126.2 pm

Answer: A

A carbon in a tetrahedral void sits at

(a /4, a /4, a /4)

from a corner atom, so the bond length equals the body-diagonal fraction

\frac{3}{4} a

. Then

d = 1.732 \times 357/4 = 154.6

pm. Edge-based options such as

a /2

do not correspond to the nearest-neighbour contact.

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