JEE Main202528 Jan 2025Morning ShiftPhysicsThermodynamicsActual
A Carnot engine ( E ) is working between two temperatures 473 K and 273 K . In a new system two engines - engine E₁ works between 473 K to 373 K and engine E₂ works between 373 K to 273 K . If ₁₂, ₁ and ₂ are the efficiencies of the engines E, E₁ and E₂ , respectively, then
Options
- A₁₂= ₁ ₂
- B₁₂ ₁+ ₂
- C₁₂= ₁+ ₂
- D₁₂ ₁+ ₂
Correct answer
D. ₁₂ ₁+ ₂
Step-by-step solution
Efficiencies of a carnot engine =1- T_ sink T_ source aligned & ₁=1- 373 ~K 473 ~K = 100 473 & ₂=1- 273 ~K 373 ~K = 100 373 & ₁₂=1- 273 ~K 473 ~K = 100 473 & ₁₂- ₁= 200 473 - 100 473 = 100 473 < 100 373 & ₁₂- ₁ < ₂ or & ₁₂ < ₁+ ₂ aligned