Column-$I$ represents physical quantity and Column-$II$ represents formula. Match them correctly:

Column-$I$	Column-$II$
$(a)$ Kinetic energy per unit mole of gas.	$(i)$ $\frac{1}{2}RT$
$(b)$ Kinetic energy per one molecule of gas.	$(ii)$ $\frac{3}{2}RT$
	$(iii)$ $\frac{3}{2}k_BT$

(A) For an ideal gas, the average kinetic energy per mole is given by $U = \frac{3}{2}RT$. Thus, $(a)$ matches with $(ii)$.
The average kinetic energy per molecule is given by $E = \frac{3}{2}k_BT$, where $k_B$ is the Boltzmann constant. Thus, $(b)$ matches with $(iii)$.
Therefore, the correct matching is $(a-ii, b-iii)$.