A mass $m$ is suspended from a spring of force constant $k$ and just touches another identical spring fixed to the floor as shown in the figure. The time period of small oscillations is 

214163-q

  • A

    $2 \pi \sqrt{\frac{ m }{ k }}$

  • B

    $\pi \sqrt{\frac{ m }{ k }}+\pi \sqrt{\frac{ m }{ k / 2}}$

  • C

    $\pi \sqrt{\frac{ m }{3 k / 2}}$

  • D

    $\pi \sqrt{\frac{ m }{ k }}+\pi \sqrt{\frac{ m }{2 k }}$

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