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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

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

    A)  Inductance       

    B)  Reactance

    C)  Capacitance                      

    D)  Resistance

    Correct Answer: A

    Solution :

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


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