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
Answer: (B) 0.56
$\eta_1 = 1 - \dfrac{420}{720} = \dfrac{300}{720} = 0.417$; $\eta_2 = 1 - \dfrac{320}{1220} = \dfrac{900}{1220} = 0.738$.
$$\frac{\eta_1}{\eta_2}\approx0.56$$
Solution by Sreeraj P, M.Sc Physics