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
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(a) System is equivalent to parallel combination of springs
${K_{eq}} = {K_1} + {K_2} = 400$ and
$T = 2\pi \sqrt {\frac{m}{{{K_{eq}}}}} = 2\pi \sqrt {\frac{{0.25}}{{400}}} = \frac{\pi }{{20}}$
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