Question

Match List-I with List-II:

List-I (System)	List-II (Axial lengths and angles)
(A) Cubic	(I) \(a = b = c, \alpha = \beta = \gamma = 90^\circ\)
(B) Tetragonal	(II) \(a = b \neq c, \alpha = \beta = \gamma = 90^\circ\)
(C) Orthorhombic	(III) \(a \neq b \neq c, \alpha = \beta = \gamma = 90^\circ\)
(D) Hexagonal	(IV) \(a = b \neq c, \alpha = \beta = 90^\circ, \gamma = 120^\circ\)

Choose the correct answer from the options given below:

• (A) - (IV), (B) - (II), (C) - (III), (D) - (I)
• (A) - (I), (B) - (III), (C) - (II), (D) - (IV)
• (A) - (IV), (B) - (II), (C) - (I), (D) - (III)
• (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Hint:

There are 7 crystal systems and these systems can be distinguished by analyzing the length of the axes and the angle between them. The axial relationship will determine the shape and symmetry of the crystal.

Answer 1

The Correct Option is B

Crystal systems are categorized by their axial dimensions and angles:
• Cubic: All axial lengths are equal, and all angles are 90°.
• Tetragonal: Two axial lengths are equal, one differs; all angles are 90°.
• Orthorhombic: All axial lengths are unequal; all angles are 90°.
• Hexagonal: Two axial lengths are equal, one differs; two angles are 90° and one is 120°.
Consequently, the accurate matching is: (A) - (I), (B) - (III), (C) - (II), (D) - (IV).