Question

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

• A. $\text{kg s}$
• B. ${\text{kg s}}^{-1}$
• C. ${\text{kg m s}}^{-1}$
• D. ${\text{kg m s}}^{-2}$

Answer 1

The correct option is B ${\text{kg s}}^{-1}$

We know,
Damping force $\propto$Velocity
$F\propto Kv$
$\Rightarrow F=Kv$
$\therefore K=\frac{F}{v}=\frac{{\text{kgms}}^{-2}}{{\text{ms}}^{-1}}=\left[{\text{kg s}}^{-1}\right]$

Hence,option $\left(A\right)$ is correct.