CMC Medical CMC-Medical VELLORE Solved Paper-2009

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

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

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

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

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

    Correct Answer: D

    Solution :

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


You need to login to perform this action.
You will be redirected in 3 sec spinner