NEET Sample Paper NEET Sample Test Paper-3

  • question_answer
    The equation of the state of a gas is defined as \[P+\frac{a}{{{V}^{2}}}=\frac{R\theta }{V},\]where \[P\to \] pressure, \[V\to \]volume, \[\theta \to \]absolute temperature and a, \[R\to \] constants, then the dimensional formula for a is

    A)  \[{{M}^{-1}}{{L}^{5}}{{T}^{-2}}\]              

    B)  \[M{{L}^{5}}{{T}^{-2}}\]

    C)  \[M{{L}^{-5}}{{T}^{2}}\]         

    D)  \[M{{L}^{-1}}{{T}^{-2}}\]

    Correct Answer: B

    Solution :

        From the given equation, dimension of \[\frac{a}{{{V}^{2}}}=\] dimension of P \[\Rightarrow \]  dimension of a = dimension of \[P{{V}^{2}}\]                 \[=M{{L}^{-1}}{{T}^{-2}}\times {{L}^{6}}=M{{L}^{5}}{{T}^{-2}}\]


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