A mass attached to a spring oscillates with period \(T\). The spring is cut into two equal halves and the same mass is attached to one half. The new period is
A. \(\frac{T}{2}\)
B. \(2T\)
C. \(\sqrt2\,T\)
D. \(\frac{T}{\sqrt2}\)
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Answer: D. \(\frac{T}{\sqrt2}\)
Half spring has \(k'=2k\). \(T\propto\frac{1}{\sqrt k}\Rightarrow T'=\frac{T}{\sqrt2}\).
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· 23 Oct 2026
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