Punjab Medical Punjab - MET Solved Paper-2009

  • question_answer
    An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimensional formula of constant of proportionality is

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

    B) \[[ML{{T}^{-1}}]\]

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

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

    Correct Answer: D

    Solution :

    \[F\propto v\]  \[\Rightarrow \]  \[F=kv\,\,\,\Rightarrow \,\,\,[k]\]                       \[=\left[ \frac{F}{v} \right]=\left[ \frac{ML{{T}^{-2}}}{L{{T}^{-1}}} \right]=[M{{L}^{0}}{{T}^{-1}}]\]


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