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NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    The dimensions of physical quantity \[X\] in the equation Force \[=\frac{X}{\text{Density}}\] is given by   [DCE 1993]

    A)             \[{{M}^{1}}{{L}^{4}}{{T}^{-2}}\]     

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

    C)             \[{{M}^{2}}{{L}^{-2}}{{T}^{-2}}\]   

    D)             \[{{M}^{1}}{{L}^{-2}}{{T}^{-1}}\]

    Correct Answer: C

    Solution :

                    [X] = [F] × [r] = \[[ML{{T}^{-2}}]\times \left[ \frac{M}{{{L}^{3}}} \right]=[{{M}^{2}}{{L}^{-2}}{{T}^{-2}}]\]


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