Poly methyl methacrylate $($PMMA$)$ has a $C_{}$ of $9\mathrm{.}0$ and a monomer length of $1\mathrm{.}89.$

a$.$ What is the Kuhn length of PMMA?

b$.$ A glass slide was inserted into a solution of PMMA in a $$ solvent. The PMMA formed a layer of thickness $2\mathrm{.}5nm$ on the slide. What is the interaction of a Kuhn element with the slide $($in $k_{B}T$ units$)?$

c$.$ What is the radius of the polymer on the surface in it has $1000$ Kuhn segments?