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JEE Main & Advanced JEE Main Paper (Held On 19 May 2012)

  • question_answer
    This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: An inventor claims to have constructed an engine that has an efficiency of 30% when operated between the boiling and freezing points of water. This is not possible. Statement 2: The efficiency of a real engine is always less than the efficiency of a Carnot engine operating between the same two temperatures.     JEE Main  Online Paper (Held On 19  May  2012)

    A) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.

    B)                        Statement 1 is true. Statement 2 is false.

    C)                        Statement 1 is false, Statement 2 is true.

    D)                        Statement 1 is  true. Statement 2 is true, Statement 2 is the correct explanation of Statement 1.

    Correct Answer: D

    Solution :

                    According to Carnot's theorem - no heat engine working between two given temperatures of source and sink can be more efficient than a perfectly reversible engine i.e. Carnot engine working between the same two temperatures. Efficiency of Carnot's engine, \[n=1-\frac{{{T}_{2}}}{{{T}_{1}}}\]where, \[{{T}_{1}}=\]temperature of source \[{{T}_{2}}=\] temperature of sink


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