NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    The dimensions of \[K\] in the equation \[W=\frac{1}{2}\,\,K{{x}^{2}}\] is?       [Orissa JEE 2003]

    A)             \[{{M}^{1}}{{L}^{0}}{{T}^{-2}}\]

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

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

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

    Correct Answer: A

    Solution :

                    \[W=\frac{1}{2}k{{x}^{2}}\Rightarrow [k]=\frac{[W]}{[{{x}^{2}}]}=\left[ \frac{M{{L}^{2}}{{T}^{-2}}}{{{L}^{2}}} \right]=[M{{T}^{-2}}]\]


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