Question

when a spring of spring constant k is cut into two equal parts then spring constant of individual part becomes k` . what is the relation between k and k`

Answer 1

Consider a spring of spring constant "k "is cut into 'n' equal pieces each piece having a spring constant of k' then the relation between k and k' is given by-
k'=n(k).
When your question is considered it's k'=2(k),the new spring constant is twice the original spring constant...