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(D) The viscous damping force $F$ is proportional to the velocity $v$,so we can write $F = kv$,where $k$ is the constant of proportionality.Rearrangin

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$M L^0 T^{-1}$

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(D) The viscous damping force $F$ is proportional to the velocity $v$,so we can write $F = kv$,where $k$ is the constant of proportionality.Rearranging for $k$,we get $k = \frac{F}{v}$.The dimensional formula for force $F$ is $[M L T^{-2}]$.The dimensional formula for velocity $v$ is $[L T^{-1}]$.Substituting these into the equation for $k$:$[k] = \frac{[M L T^{-2}]}{[L T^{-1}]} = [M L^0 T^{-1}]$.Therefore,the correct dimension is $M L^0 T^{-1}$.

An object is moving through a liquid. The viscous damping force acting on it is proportional to its velocity. The dimension of the constant of proportionality is:

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