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  4. If a spring has time period T, and is cut into n equal parts, then the time period of each part will be

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Q. If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be

Oscillations

Solution:

When spring is cut into $n$ equal parts then spring constant of each part will be $n \,k$ and so using $T \propto \frac{1}{\sqrt{k}}$, time period will be $T / \sqrt{n}$