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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ss164

Which statements about the number of particles per unit cell are correct?

AAn fcc cell contains 4 atoms.
BA bcc cell contains 2 atoms.
CA hexagonal close packed unit cell (hexagonal prism) contains 12 atoms.
DA cell with atoms at the corners and at the centres of two opposite faces contains 2 atoms.

Answer: A, B, D

fcc:

8 \times \frac{1}{8} + 6 \times \frac{1}{2} = 4

; bcc:

1 + 1 = 2

; end-centred:

1 + 2 \times \frac{1}{2} = 2

. The hcp hexagonal prism contains

12 \times \frac{1}{6} + 2 \times \frac{1}{2} + 3 = 6

atoms, so C is wrong.

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