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}$