Step 1: Identify Molecular Geometry and Dipole Moments
- \( CO_2 \) and \( BCl_3 \) are symmetric → No dipole moment.
- \( SO_2 \) (bent) and \( NF_3 \) (pyramidal) → Have dipole moment.
Step 2: Correct Pair \[ SO_2, NF_3 \]
The mass of particle X is four times the mass of particle Y. The velocity of particle Y is four times the velocity of X. The ratio of de Broglie wavelengths of X and Y is:
A solid is dissolved in 1 L water. The enthalpy of its solution (\(\Delta H_{{sol}}^\circ\)) is 'x' kJ/mol. The hydration enthalpy (\(\Delta H_{{hyd}}^\circ\)) for the same reaction is 'y' kJ/mol. What is lattice enthalpy (\(\Delta H_{{lattice}}^\circ\)) of the solid in kJ/mol?
Arrange the following in increasing order of their pK\(_b\) values. 
At $ T $ (K), the following data was obtained for the reaction: $ S_2O_8^{2-} + 3 I^- \rightarrow 2 SO_4^{2-} + I_3^- $.

From the data, the rate constant of the reaction (in $ M^{-1} s^{-1} $) is:
Find the variance of the following frequency distribution:
| Class Interval | ||||
| 0--4 | 4--8 | 8--12 | 12--16 | |
| Frequency | 1 | 2 | 2 | 1 |