For a negative unity feedback system, Gain is given by
$$G(s) = \frac{0.25}{((s^2 + 1)(8s + 3))}$$
Transfer function of a lead compensator aimed at achieving gain crossover frequency of 0.5 rad/sec and phase margin of 30 deg is

A

$$5\left[\frac{\sqrt{3}s + 0.5}{s + 0.5 \sqrt{3}}\right]$$

B

$$5\left[\frac{\sqrt{3}s - 0.5}{s - 0.5 \sqrt{3}}\right]$$

C

$$\left[\frac{\sqrt{3}s + 0.5}{s + 0.5 \sqrt{3}}\right]$$

D

$$\left[\frac{\sqrt{3} + 0.5s}{s + 0.5 \sqrt{3}}\right]$$