NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    If \[L\] and \[R\] are respectively the inductance and resistance, then the dimensions of \[\frac{L}{R}\] will be  [CPMT 1986; CBSE PMT 1988; Roorkee 1995; MP PET/PMT 1998; DCE 2002]

    A)             \[{{M}^{0}}{{L}^{0}}{{T}^{-1}}\]     

    B)             \[{{M}^{0}}L{{T}^{0}}\]

    C)             \[{{M}^{0}}{{L}^{0}}T\]

    D)             Cannot be represented in terms of \[M,\,L\] and T

    Correct Answer: C

    Solution :

                     \[[x]=[b{{t}^{2}}]\Rightarrow [b]=[x/{{t}^{2}}]=km/{{s}^{2}}\] = Time constant


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