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

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

AIPMTAIPMT 2012Physical World, Units and Measurements

Solution:

Damping force, $F \propto v$ or $F=k v$
where $k$ is the constant of proportionality
$\therefore k=\frac{F}{v}=\frac{ N }{ m s ^{-1}}$
$=\frac{ kg \,m {s } ^ { - 2 } }{ m s ^{-1}}= kg \,s ^{-1}$