• # question_answer The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are [AIPMT (S) 2012] A) $kg\,m{{s}^{-1}}$ B) $kg\,m{{s}^{-2}}$ C) $kg\,{{s}^{-1}}$ D) $kg\,s$

 Given, Damping force $\propto$ velocity $F\propto v$ $F=kv$ $k=\frac{F}{v}$ Unit of   $k\,=\frac{\text{unit}\,\text{of}\,F}{\text{unit}\,\text{of}\,v}$ $\,=\frac{kg-m{{s}^{-2}}}{m{{s}^{-1}}}=kg{{s}^{-1}}$