First slide

Simple hormonic motion

Question

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

Moderate

A

$T \sqrt{n}$
B

$\frac{T}{\sqrt{n}}$
C

nT
D

T

Solution

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

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