A weightless spring of length $60\, cm$ and force constant $200\, N/m$ is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of $0.25\, kg$ is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is

  • A

    $\frac{\pi }{{20}}s$

  • B

    $\frac{\pi }{{10}}s$

  • C

    $\frac{\pi }{5}s$

  • D

    $\frac{\pi }{{\sqrt {200} }}s$

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