A uniform 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. What are the corresponding force constant `k_(1)` and `k_(2)` in terms of n and k? what is the ratio `k_(1)//k_(2)`

Options

A. force has to be kept same to find `k_1 and k_2`
B. `k_1=(k(eta+1))/etaandk_2=k(eta-1)`
C. `k_1=(k(eta-1))/etaandk_2=k(eta+1)`
D. `k_1=(k(eta+1))/etaandk_2=k(eta+1)`

Answer

D