Step 1: Analyze Statement I:
The most stable oxidation state for Lanthanoids is +3.
Elements in +4 state (like \(\text{Ce}^{4+}\) and \(\text{Tb}^{4+}\)) tend to accept an electron to revert to the stable +3 state. Thus, they act as oxidising agents.
Statement I is Correct.
Step 2: Analyze Statement II:
Elements in +2 state (like \(\text{Eu}^{2+}\) and \(\text{Yb}^{2+}\)) tend to lose an electron to achieve the stable +3 state. Thus, they act as reducing agents, not oxidising agents.
Statement II is Incorrect.
Step 3: Analyze Statement III:
Mischmetal is an alloy consisting of a lanthanoid metal (~95%) and iron (~5%) and traces of S, C, Ca, and Al. The statement reverses the percentages (95% iron).
Statement III is Incorrect.
Step 4: Analyze Statement IV:
Electronic Configuration of La (Z=57): \([\text{Xe}] 5d^1 6s^2\).
\(\text{La}^{3+}\) configuration: \([\text{Xe}] 4f^0\). No unpaired electrons \(\rightarrow\) Diamagnetic.
Electronic Configuration of Ce (Z=58): \([\text{Xe}] 4f^1 5d^1 6s^2\).
\(\text{Ce}^{4+}\) configuration: \([\text{Xe}] 4f^0\). No unpaired electrons \(\rightarrow\) Diamagnetic.
Statement IV is Correct.
Conclusion:
Only statements I and IV are correct.
Final Answer:
Option (B).