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A mass $m$ is attached to two identical springs having spring constant $k$ as shown in the figure. The natural frequency $\omega$ of this single degree of freedom system is

  1. $\sqrt{\dfrac{2k}{m}} \\$
  2. $\sqrt{\dfrac{k}{m}} \\$
  3. $\sqrt{\dfrac{k}{2m}} \\ $
  4. $\sqrt{\dfrac{4k}{m}}$
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