The alkaline oxidative fusion is a redox reaction (undergoes both oxidation and reduction simultaneously) in which a compound undergoes fusion with itself only, in the presence of a base or an alkaline solution.
Electrolysis is a chemical process where an electric current is passed through an electrolyte, causing a non-spontaneous chemical reaction to occur, typically resulting in the decomposition of the electrolyte into its constituent elements or ions.
Alkaline oxidative fusion of MnO2 :
2MnO2+4OH−+O2→2MnO42−+2H2O
Electrolytic oxidation of MnO42− in alkaline medium.
MnO42−→MnO4−+e−
Hence, the answer is option B.