| 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) \(a = b \neq c, \alpha = \beta = 90^\circ, \gamma = 120^\circ\) |
Crystal systems are classified based on their axial lengths and angles:
• Cubic: All sides are equal, and all angles are 90°
• Tetragonal: Two sides are equal, one different, all angles 90°
• Orthorhombic: All sides unequal, all angles 90°
• Hexagonal: Two sides equal, one different, two angles 90° and one 120°
Therefore, the correct matching is: (A) - (I), (B) - (III), (C) - (II), (D) - (IV).
\(1\,\text{g}\) of \( \mathrm{AB_2} \) is dissolved in \(50\,\text{g}\) of a solvent such that \( \Delta T_f = 0.689\,\text{K} \). When \(1\,\text{g}\) of \( \mathrm{AB} \) is dissolved in \(50\,\text{g}\) of the same solvent, \( \Delta T_f = 1.176\,\text{K} \). Find the molar mass of \( \mathrm{AB_2} \). Given \( K_f = 5\,\text{K kg mol}^{-1} \). \((\textit{Report to nearest integer.})\) Both \( \mathrm{AB_2} \) and \( \mathrm{AB} \) are non-electrolytes.