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NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be?                                                                                    [J & K CET 2004]

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

    B)               \[F{{L}^{-1}}{{T}^{-2}}\]

    C)             \[F{{L}^{-1}}{{T}^{-1}}\]

    D)               \[F{{L}^{2}}{{T}^{2}}\]

    Correct Answer: A

    Solution :

                    Let \[m=K{{F}^{a}}{{L}^{b}}{{T}^{c}}\]             Substituting the dimension of             \[[F]=[ML{{T}^{-2}}],\] \[[C]=[L]\ and\ [T]=[T]\]             and comparing both sides, we get \[m=F{{L}^{-1}}{{T}^{-2}}\]


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