A) \[{{600}^{o}}K\]
B) \[{{700}^{o}}K\]
C) \[{{800}^{o}}K\]
D) \[{{900}^{o}}K\]
Correct Answer: A
Solution :
Efficiency of carnot engine, \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\] In I case \[0.4=1-\frac{{{T}_{2}}}{500}\] \[\Rightarrow \] \[\frac{{{T}_{2}}}{500}=1-0.4\] \[\Rightarrow \] \[{{T}_{2}}=500\times 0.6={{300}^{o}}K\] In II case \[0.5=1-\frac{300}{T_{1}^{'}}\] \[\Rightarrow \] \[\frac{300}{T{{'}_{1}}}=1-0.5\] \[\Rightarrow \] \[T_{1}^{'}=\frac{300}{0.5}={{600}^{o}}K\]
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