The angular frequency of the damped oscillator is given by, $\omega = \sqrt{\left(\frac{\mathrm{k}}{\mathrm{m}} - \frac{\mathrm{r}^2}{4\mathrm{~m}^2}\right)}$ where k is the spring constant, m is the mass of the oscillator and $r$ is the damping constant. If the ratio $\frac{r^2}{\mathrm{mk}}$ is $8\%$, the change in time period compared to the undamped oscillator is approximately as follows:
(1) increases by $1\%$
(2) increases by $8\%$
(3) decreases by $1\%$
(4) decreases by $8\%$