Length of a spring of force constant k in its unstretched condition is l. The spring is cut into two parts which have their unstretched lengths in the ratio ${\mathrm{l}}_1:{\mathrm{l}}_2=\mathrm{q}:1$. Force constants of the two parts k₁ and k₂ are then:

• A

  $\mathrm{k}\left(\mathrm{q}+1\right),\mathrm{kq}$

• B

  $\mathrm{k}\frac{\left(\mathrm{q}+1\right)}{\mathrm{q}},\mathrm{kq}$

• C

  $\mathrm{k}\frac{\left(\mathrm{q}+1\right)}{\mathrm{q}},\mathrm{k}\left(\mathrm{q}+1\right)$

• D

  $\mathrm{k}\frac{\left(\mathrm{q}-1\right)}{\mathrm{q}},\mathrm{k}\frac{\left(\mathrm{q}+1\right)}{\mathrm{q}}$