RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    Which of the following can be written as\[\text{kg-}{{\text{m}}^{\text{2}}}{{\text{A}}^{\text{-2}}}{{\text{T}}^{\text{-2}}}\text{?}\]

    A)  Inductance       

    B)  Reactance

    C)  Capacitance      

    D)         Resistance

    Correct Answer: A

    Solution :

    Dimensions corresponding with\[kg-{{m}^{2}}{{A}^{-2}}{{T}^{-2}}\]                 \[=[M{{L}^{2}}{{A}^{-2}}{{T}^{-2}}]\] Inductance\[(L)={}^{e}/{}_{\frac{dI}{dt}}\]                 \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[AT]}\times \frac{[T]}{[A]}\]                 \[=[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\] \[\therefore \]Unit of inductance can be written as\[kg-{{m}^{2}}{{A}^{-2}}{{T}^{-2}}\].


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