JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    A carnot engine operation between temperatrues \[{{T}_{1}}\] and \[{{T}_{2}}\] has efficiency \[\frac{1}{6}\]. When \[{{T}_{2}}\] is lowered by 62 K, its efficiency increases to\[\frac{1}{3}\]. Then \[{{T}_{1}}\] and \[{{T}_{2}}\] are respectively   AIEEE  Solved  Paper-2011    

    A) 310 K and 248 K   

    B) 372 K and 310 K

    C) 372 K and 330 K   

    D) 330 K and 268 K

    Correct Answer: B

    Solution :

    \[\frac{1}{6}=1-\frac{{{T}_{2}}}{{{T}_{1}}}\Rightarrow \frac{{{T}_{2}}}{{{T}_{1}}}=\frac{5}{6}\] Also, \[\frac{{{T}_{2}}-62}{{{T}_{1}}}=\frac{2}{3}\] \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{5}{6}\] \[\Rightarrow \,\,\,\frac{{{T}_{2}}-62}{{{T}_{2}}}=\frac{4}{5}\]              or \[{{T}_{2}}=62\times 5\]              or \[{{T}_{2}}=310\,\,K\]    \[\Rightarrow \,\,\,{{T}_{2}}=372\,\,K\]


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