Final temperature of two bodies operating heat engine will stop - Thermodynamics

Q.  Two bodies, initially at temperatures T1 and T2 (T1>T2) have same heat capacity. Suppose a heat engine is operated between these two bodies delivering work. What will be the final temperature (Tf) of the two bodies when after that temperature heat engine will stop working with giving maximum work?
- Published on 20 Aug 15

a. Tf = (T1 – T2)
b. Tf = (T1 – T2) / 2
c. Tf = (T1 + T2) / 2
d. Tf = √T1 T2

ANSWER: Tf = √T1 T2

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