Propose a method for the synthesis of a block copolymer of Polystyrene-b-poly (methyl methacrylate) (PS-b-PMMA) by coupling of telechelic PS and PMMA, synthesized by living polymerization methods. Write down the reaction scheme. How would you know if you had a block copolymer of PS-b-PMMA or a physical mixture of homopolymers of PS and PMMA?