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Q. 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

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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}}] $