A reversible engine operates between temperatures $$T_{1}$$ and $$T_{2}$$ . The energy rejected by this engine is received by a second reversible engine at temperature $$T_{2}$$ and rejected to a reservoir at temperature $$T_{3}$$ If the efficiencies of the engines are same then, the relationship between $$T_{1}$$ , $$T_{2}$$ and $$T_{3}$$ is given by

A

$$T_{2} = \frac{(T_{1}+ T_{3})}{2}$$

B

$$T_{2} =\sqrt{(T_{1})^{2}+(T_{3})^{2}} $$

C

$$T_2 = \sqrt{(T_1 * T_3})$$

D

None of these