In Column-$I$ devices and in Column-$II$ efficiency are given. Match them appropriately:

Column-$I$	Column-$II$
$(a)$ Heat engine	$(i)$ $\eta = \frac{Q_2}{Q_1 - Q_2}$
$(b)$ Heat pump	$(ii)$ $\eta = \frac{Q_1 - Q_2}{Q_1}$
	$(iii)$ $\eta = \frac{T_1 - T_2}{T_1}$

(A) For a heat engine,the efficiency $\eta$ is defined as the ratio of work done to heat input,given by $\eta = \frac{W}{Q_1} = \frac{Q_1 - Q_2}{Q_1}$. For a Carnot engine,this simplifies to $\eta = \frac{T_1 - T_2}{T_1}$. Thus,$(a)$ matches with $(ii)$ and $(iii)$.
For a heat pump,the coefficient of performance is defined as $\beta = \frac{Q_2}{W} = \frac{Q_2}{Q_1 - Q_2}$. Thus,$(b)$ matches with $(i)$.