A 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. The ratio \(k_1/k_2\) of the corresponding force constant, \(k_1\) and \(k_2\) will be:
1. \(\frac{1}{n^2}\)
2. \(\frac{1}{n}\)
3. \(n^2\)
4. \(n\)

If two identical springs, each with a spring constant \(k,\) are connected in series, the new spring constant and time period will change by a factor of: