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).

822-300

  • 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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