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A bar of mass $m$ is suspended horizontally on two vertical springs of spring constant $k$ and $3k$ . The bar bounces up and down while remaining horizontal. Find the time period of oscillation of the bar (Neglect mass of springs and friction everywhere).
  • A$2\pi \sqrt {\frac{m}{k}} $
  • B$2\pi \sqrt {\frac{m}{{3k}}} $
  • C$\pi \sqrt {\frac{{2m}}{{3k}}} $
  • D$2\pi \sqrt {\frac{{m}}{{4k}}} $
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