Two Carnot engines A and B operate in series such that engine A absorbs heat at T1 and rejects heat to a sink at temperature T. Engine B absorbs half of the heat rejected by Engine A and rejects heat to the sink at T3. When work done in both the cases is equal, to value of T is :
(1) \(\frac{2}{3}T_1+\frac{3}{2}T_3\)
(2) \(\frac{1}{3}T_1+\frac{2}{3}T_3\)
(3) \(\frac{3}{2}T_1+\frac{1}{3}T_3\)
(4) \(\frac{2}{3}T_1+\frac{1}{3}T_3\)
