For real molecules, we consider the chain length based on the persistence length of the molecule, which is related to its propensity to bend. In this case we use the relation: p=b/2b=2p where p is the persistence length. a) Compare the root mean square end to end distance of strands of spectrin, actin, and microtubules 200nm in contour length using the ideal chain model, and a self avoiding 3-D chain model. b) What is the effective spring constant in N/m of each type of model for filaments with a contour length of 1cm at 300K ? Use p=15,15103,2106nm, respectively, for the spectrin, actin, and microtubules