JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    An ideal gas is expanding such that \[\text{C}{{\text{H}}_{\text{3}}}\text{Cl}\]constant. The coefficient of volume expansion of the gas is

    A) \[\text{C}{{\text{H}}_{\text{2}}}\text{C}{{\text{l}}_{\text{2}}}\]                                              

    B) \[\text{CHC}{{\text{l}}_{\text{3}}}\]

    C) \[\text{CC}{{\text{l}}_{\text{4}}}\]                                         

    D) \[\text{C}\text{N}\]

    Correct Answer: B

    Solution :

    \[{{I}_{AD}}=\frac{m{{d}^{2}}}{3}=4{{I}_{EF}}\] \[mg{{h}_{1}}=\frac{1}{2}m{{u}^{2}}\] \[{{h}_{1}}=\frac{{{u}^{2}}}{2g}\] Differentiating the equation, we get \[mg{{h}_{2}}=mg\frac{{{u}^{2}}{{\cos }^{2}}\theta }{2g}\] \[=\frac{1}{2}m{{u}^{2}}{{\cos }^{2}}\theta \] \[=\frac{1}{2}m{{u}^{2}}{{\cos }^{2}}60\] \[=\frac{1}{2}m{{v}^{2}}{{\left[ \frac{1}{2} \right]}^{2}}=\frac{1}{2}m{{v}^{2}}\left[ \frac{1}{4} \right]\]                 \[{{h}_{2}}=\frac{{{u}^{2}}}{8g}\]


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