Question 180: Oscillations

Question

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

Accepted Answer

Let the spring constant of the original spring be $$k.$$
Then its time period $$T = 2\pi \sqrt {{m \over k}} $$ where $$m$$ is the mass of oscillating body.
When the spring is cut into $$n$$ equal parts, the spring constant of one part becomes $$nk.$$ Therefore the new time period,
$$T' = 2\pi \sqrt {{m \over {nk}}}  = {T \over {\sqrt n }}$$

Answer

$$T\sqrt n $$

Answer

$$T/\sqrt n $$

Answer

$$nT$$

Answer

$$T$$

Oscillations

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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