The angular frequency of the damped oscillator is given by, ω=√((k/m-(r^2)/(4 m^2))) where k is the spring constant, m is the mass of the oscillator…

The angular frequency of the damped oscillator is given by, $\displaystyle \omega=\sqrt{\left(\frac{\mathrm{k}}{\mathrm{m}}-\frac{\mathrm{r}^2}{4 \mathrm{~m}^2}\right)}$ where k is the spring constant, m is the mass of the oscillator and r is the damping constant. If the ratio $\displaystyle \frac{\mathrm{r}^2}{\mathrm{mk}}$ is $\displaystyle 8 \%$, the change in time period compared to the undamped oscillator is approximately as follows :