A Carnot engine (E) is working between two temperatures 473 K and 273 K . In a new system two engines - engine \({E}_{1}\) works between 473 K to 373 K and engine \({E}_{2}\) works between 373 K to 273 K . If \({\eta }_{12}\), \({\eta }_{1}\) and \({\eta }_{2}\) are the efficiencies of the engines \(E\), \({E}_{1}\) and \({E}_{2}\), respectively, then

[JEE Main 2025, 28 Jan (Shift 1)]

Question

A Carnot engine (E) is working between two temperatures 473 K and 273 K . In a new system two engines - engine \({E}_{1}\) works between 473 K to 373 K and engine \({E}_{2}\) works between 373 K to 273 K . If \({\eta }_{12}\), \({\eta }_{1}\) and \({\eta }_{2}\) are the efficiencies of the engines \(E\), \({E}_{1}\) and \({E}_{2}\), respectively, then

[JEE Main 2025, 28 Jan (Shift 1)]

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