A spring of force constant K is cut into two pieces such that one piece is double the length of other.  Then the long piece will have a force constant of

if length of the spring is ℓ length of the two pieces are 2ℓ3and ℓ3 ∴ force of spring is     F    =   K⋅ℓ  here K is force constant for the long piece force of spring is F  =   K1⋅ 2ℓ3   K⋅ℓ =  K1⋅ 2ℓ3  ⇒  K1  =    32  K