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JEE Main
Exam
JEE Main
Subject
Chemistry
Chapter
Solid State

JEE Main · Chemistry · Solid State

Consider the following five sets of unit cell parameters: I. a=b=c...

Consider the following five sets of unit cell parameters:
I. a=b=ca=b=c, α=β=γ=90∘\alpha=\beta=\gamma=90^{\circ}
II. a=b≠ca=b\neq c, α=β=γ=90∘\alpha=\beta=\gamma=90^{\circ}
III. a≠b≠ca\neq b\neq c, α=β=γ=90∘\alpha=\beta=\gamma=90^{\circ}
IV. a≠b≠ca\neq b\neq c, α=γ=90∘\alpha=\gamma=90^{\circ}, β≠90∘\beta\neq 90^{\circ}
V. a=b≠ca=b\neq c, α=β=90∘\alpha=\beta=90^{\circ}, γ=120∘\gamma=120^{\circ}

The number of crystal systems from the above list that can exhibit a face-centred unit cell is ____.

Correct answer

2

Step-by-step solution

The given sets of parameters correspond to the following crystal systems:
I. Cubic
II. Tetragonal
III. Orthorhombic
IV. Monoclinic
V. Hexagonal

Among the 14 Bravais lattices, a face-centred unit cell is found only in the Cubic and Orthorhombic crystal systems.
Therefore, out of the given 5 systems, exactly 2 (Cubic and Orthorhombic) can exhibit a face-centred unit cell.

Answer: 22
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