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Two Carnot engines \( A \) and \( B \) are operated in series. The first one, A receives heat at \( T_{1}(=600 \mathrm{~K}) \) and rejects to a
\( \mathrm{P} \) reservoir at temperature \( T_{2} \). The second engine \( B \) receives

W heat rejected by the first engine and, in turn, rejects to a heat reservoir at \( T_{3}(=400 \mathrm{~K}) \). Calculate the temperature \( T_{2} \) if the work outputs of the two engines are equal
[JEE (Main) 2019]
(a) \( 500 \mathrm{~K} \)
(b) \( 300 K \)
(c) \( 600 \mathrm{~K} \)
(d) \( 400 K \)
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