An object is moving through the liquid. The viscous damping force acting on it is proportional to the…
An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimensions of constant of proportionality are
$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]$
$\left[\mathrm{MLT}^{-1}\right]$
$\left[\mathrm{M}^{0} \mathrm{LT}^{-1}\right]$
$\left[\mathrm{ML}^{0} \mathrm{~T}^{-1}\right]$
Solution
$\quad F \propto v \Rightarrow F=k v \Rightarrow[k]=\left[\frac{F}{v}\right]=\left[\frac{M L T^{-2}}{L T^{-1}}\right]=\left[M L^{0} T^{-1}\right]$
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Asked in: JEE Mains - Units and Dimensions - Test 2