The un-damped natural frequency of a bar hinged to a spring-damper arrangement

Question

A uniform rigid slender bar of mass 10 kg. is hinged at the left end is suspended with the help of spring and damper arrangement as shown in the figure where K = 2kN/m, C = 500Ns/m and the stiffness of the torsion spring K_q is 1 kN/m/rad. Ignore the hinge dimensions

1. The un-damped natural frequency of oscillations of the bar about the hinge point is

(a) 42.43 rad/s                                                    (b) 30 rad/s

(c) 17.32 rad/s                                                    (d) 14.14 rad/s