BVP Medical BVP Medical Solved Paper-2015

  • question_answer
    During expansion of one mole of an ideal gas temperature and volume are associated as \[1m/{{s}^{2}}\], where To and \[0.25m/{{s}^{2}}\] are positive constants. Find the minimum attainable pressure of the gas.

    A)  \[0.75m/{{s}^{2}}\]

    B)  \[\Delta T\]

    C)  \[\alpha \]

    D)  \[2\omega [1-2\alpha \Delta T]\]

    Correct Answer: C

    Solution :

                    (c.)As, we know that     \[{{I}_{0}}\]                 \[4{{l}_{0}}\]      \[3{{l}_{0}}\]                                 \[\frac{{{l}_{0}}}{2}\]                       Pressure p is minimum, when, \[2{{l}_{0}}\] \[{{I}_{0}}\]        \[2{{l}_{0}}{{\cos }^{2}}\left( \frac{\pi y}{\beta } \right)\] or            \[{{l}_{0}}{{\cos }^{2}}\left( \frac{\pi y}{\beta } \right)\] or,          \[\frac{{{l}_{0}}}{2}{{\cos }^{2}}\left( \frac{2\pi y}{\beta } \right)\] So, when volume is \[4{{l}_{0}}{{\cos }^{2}}\left( \frac{\pi y}{\beta } \right)\], pressure will be minimum. At this volume pressure is given by                 \[{{C}_{1}}\]                 \[{{C}_{2}}\]                 \[\frac{{{C}_{1}}}{{{C}_{2}}}\] \[\frac{a}{b}\]   \[\frac{2a}{b}\]


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