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(C) The damping force $F$ is directly proportional to the velocity $v$,which can be written as $F = kv$,where $k$ is the constant of proportionality.F

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$Kg\ s^{-1}$

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(C) The damping force $F$ is directly proportional to the velocity $v$,which can be written as $F = kv$,where $k$ is the constant of proportionality.From this equation,we can express $k$ as $k = \frac{F}{v}$.The $SI$ unit of force $F$ is Newton $(N)$,which is equivalent to $kg\ m\ s^{-2}$.The $SI$ unit of velocity $v$ is $m\ s^{-1}$.Substituting these units into the expression for $k$:$k = \frac{kg\ m\ s^{-2}}{m\ s^{-1}} = kg\ s^{-1}$.Therefore,the unit of the constant of proportionality is $kg\ s^{-1}$.

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are:

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