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AFMC AFMC Solved Paper-2011

  • question_answer
    If \[\gamma \] denotes the ratio of the two specific heats of a gas, the ratio of the slopes of adiabatic and isothermal p-V curves at their point of intersection is

    A) 1/\[\gamma \]                                                 

    B) \[\gamma \]   

    C) \[\gamma \]- 1                                                 

    D) \[\gamma \]+1

    Correct Answer: B

    Solution :

    Slope of isothermal curve at point of intersection \[{{\left( \frac{dp}{dV} \right)}_{isothermal}}=-\frac{P}{V}\]where \[(p,V)\]are point of intersection. Slope of adiabatic curve \[{{\left( \frac{dp}{dV} \right)}_{adiabatic}}=-\gamma \frac{p}{V}\] So, the ratio of slopes \[=\gamma \]


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