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  4. A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

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Q. A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

NTA AbhyasNTA Abhyas 2022

Solution:

$l_{1}=2l_{2}$
Solution
Therefore
$ l _{1} = \frac{2}{3} l ⁡$
Force constant,
$k \propto \frac{1}{\text{length of spring}}$

$\Rightarrow k_{1}=\frac{3}{2}k$