JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The dimensional formula of universal gas constant:

    A)  \[\text{6}000\text{ { }\!\!\mathrm{\AA}\!\!\text{ }}\]

    B)  \[\text{5}000\text{ { }\!\!\mathrm{\AA}\!\!\text{ }}\]

    C)  \[\text{4000 { }\!\!\mathrm{\AA}\!\!\text{ }}\]

    D)  none of these

    Correct Answer: A

    Solution :

                    Using the relation \[R=\frac{PV}{0}\] Dimensions of gas constant R \[=\frac{\dimensions\,of\,pressure\,\times \dimensions\,of\,volume}{\dimension\,of\,temperature}\]\[=\frac{[M{{L}^{-1}}{{T}^{-2}}][{{L}^{3}}]}{\theta }\] \[=[M{{L}^{-2}}{{T}^{-2}}{{\theta }^{-1}}]\]


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