A spring has length l and force constant K . If is cut into two springs of length l₁ and l₂ such that, l₁=n l₂(n is integer). The force constant of the spring of length l₂ is

Step-by-step solution

If l is cut into l₁ and l₂ , such that l₁+l₂=l , where, n l₂=l₁ l₂= l n+1 As we know from the elasticity relation K= E A l , where E is Young's modulus, A area of cross-section and l is the length of the spring. K₂= E A l₂ = (n+1) E A l =(n+1) K