Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • question_answer
    Dimensions of \[\frac{R}{L}\] are

    A)  \[\text{ }\!\![\!\!\text{ }{{\text{T}}^{\text{2}}}\text{ }\!\!]\!\!\text{ }\]                               

    B)  \[\text{ }\!\![\!\!\text{ T }\!\!]\!\!\text{ }\]

    C)  \[\text{ }\!\![\!\!\text{ }{{\text{T}}^{-2}}\text{ }\!\!]\!\!\text{ }\]                                           

    D)  \[\text{ }\!\![\!\!\text{ }{{\text{T}}^{-2}}\text{ }\!\!]\!\!\text{ }\]

    Correct Answer: C

    Solution :

    \[\frac{L}{R}\] is the time constant of a L-R circuit. \[\therefore \] Dimension of \[\left( \frac{R}{L} \right)=\] dimension of \[\frac{1}{T}\]                                 \[=[{{T}^{-1}}]\]


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