$8.$ Consider a numerical comparison of the FJC and WLC models. Plot the force extension behavior for a $1$ cm long polymer with a $0\mathrm{.}1$mm persistence length with each model. Is one always higher or lower than the other? Comment on how the two compare in the short and long limits$.$ Repeat with a $1$ cm persistence length and a $10$cm persistence length. How does persistence length affect how the models compare?