A carnot’s engine operating between temperatures $$T1$$ and $$T2$$ has efficiency $$16$$ . When $$T2$$ is lowered by $$62K$$ , its efficiency increases to $$13$$ . Then $$T1$$ and $$T2$$ are respectively

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A carnot’s engine operating  between temperatures $$T1$$  and  $$T2$$     has efficiency $$16$$     . When $$T2$$      is lowered by $$62K$$ ,  its efficiency increases to $$13$$     . Then $$T1$$  and  $$T2$$     are respectively

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$$case(i)$$       η$$=1$$−$$T2T1$$                                       $$16=1$$−$$T2T1$$−(1)                     $$case(ii)$$        η$$1=1$$−$$T21T1$$                                             η$$1=1$$−(T2$$−$$62)T1$$                                             $$=1$$−$$T2T1+62T1$$                                             η$$1=$$η$$+62T1$$                     By given date  η$$1=2n$$                                             $$2$$η$$=$$η$$+62T1$$                     $$n=62T1$$⇒$$T1=372k$$                     ⇒$$(1)⇒$$16=1$$−$$T2372$$                             $$T2=310k$$                     $$T1=372k$$&$$T2=310k$$.

A carnot’s engine operating between temperatures T1 and T2 has efficiency 16 . When T2 is lowered by 62K , its efficiency increases to 13 . Then T1 and T2 are respectively

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