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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 
  • 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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