A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be
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(c)
When spring is cut into $4$ parts. The spring constant of each part will become $4 \,k$.
$T_2=2 \pi \sqrt{\frac{m}{4 k}}$
$T_2=\frac{T}{2}$
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