A) \[27{}^\circ C\]
B) \[127{}^\circ C\]
C) \[227{}^\circ C\]
D) \[327{}^\circ C\]
Correct Answer: B
Solution :
Efficiency of Car not engine is given by, \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\] where \[{{\text{T}}_{\text{2}}}\] is temperature of sink in kelvin and \[{{\text{T}}_{1}}\]is temperature of source in kelvin. Given, \[\eta =25%=\frac{25}{100}=0.25\] \[{{T}_{2}}=27{{\,}^{o}}C=27+273=300\,K\] \[\therefore \] \[0.25=1-\frac{300}{{{T}_{1}}}\] \[\Rightarrow \] \[\frac{300}{{{T}_{1}}}=1-0.25\] \[\Rightarrow \] \[\frac{300}{{{T}_{1}}}=0.75\] \[\Rightarrow \] \[{{T}_{1}}=\frac{300}{0.75}=400\,K=127\,{{\,}^{o}}C\]
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