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

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

Option: 1

T\sqrt{n}


Option: 2

T/\sqrt{n}


Option: 3

\; \; \; nT


Option: 4

\; \; \: \: \: T.


Answers (1)

best_answer

For a spring, T=2\pi \sqrt{\frac{m}{k}}

For each piece, spring constant = nk

\therefore \; \; \; T'=2\pi \sqrt{\frac{m}{nk}}

\therefore \; \; \; T'=2\pi \sqrt{\frac{m}{k}}\times \frac{1}{\sqrt{n}}=\frac{T}{\sqrt{n}}

\dpi{100} \therefore \; \; \; T\alpha\frac{1}{\sqrt{n}}

Correct option is 2.

Posted by

manish painkra

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