A spring has a certain mass suspended from it and its period for vertical oscillation is $T$. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillation is now
A$\frac{T}{2}$
B$\frac{T}{\sqrt{2}}$
C$\sqrt{2}T$
D$2T$
Medium
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B$\frac{T}{\sqrt{2}}$
b (b) $T = 2\pi \sqrt {\frac{m}{k}} $.
Also spring constant $(k) \propto \frac{1}{{{\rm{Length (}}L)}}$, when the spring is half in length, then $k$ becomes twice.
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