$A$ spring whose unstretched length is $\ell$ has a force constant $k$. The spring is cut into two pieces of unstretched lengths $\ell_1$ and $\ell_2$ where $\ell_1 = n\ell_2$ and $n$ is an integer. The ratio $k_1/k_2$ of the corresponding force constants $k_1$ and $k_2$ will be:

  • A
    $n$
  • B
    $\frac{1}{n^2}$
  • C
    $n^2$
  • D
    $\frac{1}{n}$

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