NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    In the relation \[y=a\cos (\omega t-kx)\], the dimensional formula for k is?                             [BHU 2004]

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

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

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

    D)               \[[{{M}^{0}}LT]\]

    Correct Answer: C

    Solution :

                                            \[[Kx]\]= Dimension of \[\omega t=\](dimensionless) hence \[K=\frac{1}{X}=\frac{1}{L}=\left[ {{L}^{-1}} \right]\]  \ \[[K]=[{{L}^{-1}}]\]


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