As shown in the figures, a uniform rod $$OO'$$ of length $$l$$ is hinged at the point $$O$$ and held in place vertically between two walls using two massless springs of same spring constant. The springs are connected at the midpoint and at the top-end ($$O'$$) of the rod, as shown in Fig. 1 and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is $$f_1$$. On the other hand, if both the springs are connected at the midpoint of the rod, as shown in Fig. 2 and the rod is made to oscillate by a small angular displacement, then the frequency of oscillation is $$f_2$$.

Ignoring gravity and assuming motion only in the plane of the diagram, the value of $$\frac{f_1}{f_2}$$ is: