Two light identical springs of spring constant $k$ are attached horizontally at the two ends of a uniform horizontal rod $AB$ of length $l$ and mass $m$. the rod is pivoted at its centre $‘O’$ and can rotate freely in horizontal plane. The other ends of the two springs are fixed to rigid supports as shown in figure. The rod is gently pushed through a small angle and released. The frequency of resulting oscillation is
  • A$\frac{1}{{2\pi }}\sqrt {\frac{{3k}}{m}} $
  • B$\frac{1}{{2\pi }}\sqrt {\frac{{2k}}{m}} $
  • C$\frac{1}{{2\pi }}\sqrt {\frac{{6k}}{m}} $
  • D$\frac{1}{{2\pi }}\sqrt {\frac{{k}}{m}} $
JEE MAIN 2019, Diffcult
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