NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    Pressure gradient has the same dimension as that of?                                     [AFMC 2004]

    A)             Velocity gradient         

    B)             Potential gradient

    C)             Energy gradient

    D)               None of these

    Correct Answer: D

    Solution :

                    Velocity gradient \[=\frac{v}{x}=\frac{[L{{T}^{-1}}]}{[L]}=[{{T}^{-1}}]\]                         Potential gradient\[=\frac{V}{x}=\frac{[M{{L}^{2}}{{T}^{-3}}{{A}^{-1}}]}{[L]}\]\[=[ML{{T}^{-3}}{{A}^{-1}}]\]                              Energy gradient \[=\frac{E}{x}=\frac{[M{{L}^{2}}{{T}^{2}}]}{[L]}=[ML{{T}^{-2}}]\]             and pressure gradient\[=\frac{P}{x}=\frac{[M{{L}^{-1}}{{T}^{-2}}]}{[L]}=[M{{L}^{-2}}{{T}^{-2}}]\]


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