For the reactions $(A) \ S^{2-} + 4H_2O_2 \rightarrow SO_4^{2-} + 4H_2O$ and $(B) \ Cl_2 + H_2O_2 \rightarrow 2HCl + O_2$,which statement is correct?

• A
  $H_2O_2$ acts as a reducing agent in both reactions.
• B
  $H_2O_2$ acts as an oxidizing agent in reaction $(A)$ and as a reducing agent in reaction $(B)$.
• C
  $H_2O_2$ acts as an oxidizing agent in both reactions.
• D
  $H_2O_2$ acts as a reducing agent in reaction $(A)$ and as an oxidizing agent in reaction $(B)$.