A mass m performs oscillations of period $T$ when hanged by spring of force constant $K$. If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be
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(d) $T \propto \frac{1}{{\sqrt k }}$
==> $\frac{{{T_2}}}{{{T_1}}} = \sqrt {\frac{{{K_1}}}{{{K_2}}}} $$ = \sqrt {\frac{k}{{4k}}} = \frac{1}{2}$
==> ${T_2} = \frac{{{T_1}}}{2}$
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