Concept:
Hydrogen peroxide (\(H_2O_2\)) is an amphoteric redox reagent, meaning it can act both as an oxidizing agent and a reducing agent depending on the medium:
• In acidic medium → acts mainly as an oxidizing agent
• In alkaline medium → acts mainly as a reducing agent
Step 1: Understand what the question asks.
We need to find which substance is reduced by \(H_2O_2\).
Since \(H_2O_2\) is acting as a reducing agent (in alkaline medium), it will:
\[
\text{donate electrons} \Rightarrow \text{itself gets oxidized}
\]
and hence it will reduce the other species.
Step 2: Check oxidation states of given species.
• Fe$^{2+}$ → already in lower oxidation state, tends to get oxidized to Fe$^{3+}$ → not reduced
• HOCl → Cl is in +1 state → can be reduced but weak oxidizing behavior here
• KMnO$_4$ → Mn is in +7 oxidation state (very high) → strong oxidizing agent → easily gets reduced
• PbS → sulphide form (S$^{2-}$), tends to be oxidized, not reduced
• Mn$^{2+}$ → already in low oxidation state → cannot be reduced further easily
Step 3: Focus on KMnO$_4$.
In alkaline medium, \(KMnO_4\) is reduced typically to \(MnO_2\) or \(MnO_4^{2-}\).
Example reaction:
\[
2MnO_4^- + H_2O_2 + 2OH^- \rightarrow 2MnO_4^{2-} + 2H_2O + O_2
\]
Here:
• Mn goes from +7 to +6 → reduction
• \(H_2O_2\) gets oxidized → acts as reducing agent
Step 4: Conclusion.
Only \(KMnO_4\) undergoes reduction by \(H_2O_2\) in alkaline medium.
Step 5: Final answer.
\[
\boxed{KMnO_4}
\]