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RAJASTHAN PMT Rajasthan - PMT Solved Paper-1995

  • question_answer
    In an adiabatic process relation of relative change in pressure \[\frac{\Delta P}{P}\]with relative change m volume\[\frac{\Delta P}{V}\] is:

    A) \[\frac{1}{\gamma }\left( \frac{\Delta V}{V} \right)\]                     

    B) \[\frac{1}{{{\gamma }^{2}}}\left( \frac{\Delta V}{V} \right)\]      

    C) \[-\gamma \left( \frac{\Delta V}{V} \right)\]      

    D)        \[\gamma \left( \frac{\Delta V}{V} \right)\]

    Correct Answer: C

    Solution :

    For adiabatic process \[\frac{\Delta P}{-\left( \frac{\Delta V}{V} \right)}=\gamma P\] \[\therefore \]  \[\frac{\Delta P}{P}=-\gamma \left( \frac{\Delta V}{V} \right)\]


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