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  • Help me solve this A Light spring is cut into two equal parts. The spring const of each part will be

A Light spring is cut into two equal parts. The spring const of each part will be 

  • Option 1)

    K

  • Option 2)

    2K

  • Option 3)

    \frac{K}{2}

  • Option 4)

    4K

 

Answers (1)

best_answer

K \alpha \frac{1}{l}

l' = \frac{l}{2}

So the answer is 2K

 

Cutting of Spring -

If a spring is cut into 2 peices of length  l_{1} & l_{2} where  l_{1} = nl_{2}

Spring const of

* First part     K_{1} = \frac{K(n+1)}{n}

                     K_{2} = (n+1)K

- wherein

Formula

\frac{K_{1}}{K_{2}} = \frac{1}{n}

 

 


Option 1)

K

This is incorrect.

Option 2)

2K

This is correct.

Option 3)

\frac{K}{2}

This is incorrect.

Option 4)

4K

This is incorrect.

Posted by

Plabita

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