Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • question_answer
    An ideal heat engine working between temperature \[{{T}_{1}}\] and \[{{T}_{2}}\] has an efficiency \[\eta ,\] the new efficiency if temperature of both the source and sink are doubled, will be

    A)  \[\eta /2\]                                         

    B)  \[\eta \]

    C)  \[2\eta \]                                           

    D)  \[3\eta \]

    Correct Answer: B

    Solution :

    Efficiency of heat engine, \[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\] when temperature of source and sink are doubled, then efficiency,                 \[\eta '=1-\frac{2{{T}_{2}}}{2{{T}_{1}}}=1-\frac{{{T}_{2}}}{{{T}_{1}}}\]                 \[\eta '=\eta \]


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