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 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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- [AIIMS 2003]