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A spring of f...

Question

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 :

A

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B

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C

3k

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D

6k

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Solution

The correct option is B

$l_{1} = 2 l_{2}$

$∴ l_{1} = \frac{2}{3} l$

Force constant k ∝ $\frac{1}{l e n g t h o f s p r i n g}$

$∴ k_{1} = \frac{3}{2} k$

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