AMU Medical AMU Solved Paper-2004

  • question_answer
    Air is expanded from 50 L to 150 L at 2 atm pressure. The external work done is \[\left( \text{1 atm }=\text{1}\times \text{l}{{0}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}} \right)\]

    A) \[\text{2}\times \text{l}{{\text{0}}^{-\text{8}}}\text{J}\]                             

    B)  \[2\times {{10}^{4}}J\]

    C)  200 J                                    

    D)  2000 J

    Correct Answer: B

    Solution :

                     Work done W = pressure (p) \[\times \] volume-change (AV) Given,   p = 2 atm \[=2\times {{10}^{5}}N/{{m}^{2}}\],                 \[\Delta V={{V}_{2}}-{{V}_{1}}\]                 = 150 - 50 = 100 L                 \[=100\times {{10}^{-3}}{{m}^{3}}\] \[\therefore \]  \[W=p\,\Delta V\]                 \[W=2\times {{10}^{5}}\times 100\times {{10}^{-3}}\]                 \[=2\times {{10}^{4}}J\]


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