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A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l_{1} and l_{2} where, l_{1}=nl_{2} and n is an integer. The ratio k_{1}/k_{2} of the corresponding force constants, k_{1} and k_{2} will be:

 

  • Option 1)

    n

     

     

     

  • Option 2)

    \frac{1}{n^{2}}

  • Option 3)

    \frac{1}{n}

  • Option 4)

    n^{2}

Answers (1)

best_answer

k_{1}l_{1}=k_{2}l_{2}=kl

\frac{k_{1}}{k_{2}}=\frac{l_{2}}{l_{1}}=\frac{l_{2}}{nl_{2}}=\frac{1}{n}

{ l_{1}=nl_{2} }


Option 1)

n

 

 

 

Option 2)

\frac{1}{n^{2}}

Option 3)

\frac{1}{n}

Option 4)

n^{2}

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