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Thermodynamics question for JEE Main (JEE Main 2022 (25 Jul, Shift 2)), with solution

Q 11-11-105JEE MainJEE Main 2022 (25 Jul, Shift 2)Medium

Let $\eta_1$ be the efficiency of an engine at $T_1 = 447^\circ\text{C}$ and $T_2 = 147^\circ\text{C}$ while $\eta_2$ is the efficiency at $T_1 = 947^\circ\text{C}$ and $T_2 = 47^\circ\text{C}$. The ratio $\dfrac{\eta_1}{\eta_2}$ will be

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