Oscillations Ques 4
4. The damping force on an oscillator is directly proportional to the velocity. The unit of the constant of proportionality is:
[2012]
(a) $\mathrm{kgms}^{-1}$
(b) $\mathrm{kgms}^{-2}$
(c) $\mathrm{kgs}^{-1}$
(d) $\mathrm{kgs}$
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Answer:
Correct Answer: 4.(c)
Solution: (c) $ F \propto v \Rightarrow \quad F=k v $
$ k=\frac{F}{v} \Rightarrow[k]=\frac{\left[\mathrm{kgms}^{-2}\right]}{\left[\mathrm{ms}^{-1}\right]}=\mathrm{kgs}^{-1}$