The 2 spring problem

Classical Mechanics Level 3

A uniform rod of mass $M$ and length $L$ is pivoted at the center. Its two ends are attached to two springs of spring constants $k$ . The springs are fixed to the rigid support as shown in the figure , and the rod is free to rotate in the horizontal plane.The rod is gently pushed through small angle $\theta$ in one direction and then released. What is the frequency of oscillation?

\frac{1}{2\pi}\sqrt{\frac{6k}{M}}

\frac{1}{2\pi}\sqrt{\frac{2k}{M}}

\frac{1}{2\pi}\sqrt{\frac{k}{M}}

\frac{1}{2\pi}\sqrt{\frac{24k}{M}}