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One reversible heat engine operates between 1000 K and T2 K and another reversible heat engine operates between T2 K and 400 K.  If both the engines have the same heat input and output, then the temperature T2 must be equal to                

       (a)    582.7 K          (b)  632.5 K

       (c)    682.8 K          (d) 732.5 K

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