Step 1: Write the electronic configurations.
\(_{63}\)Eu\(^{2+}\) - [Xe] 4f\(^7\) 6s\(^0\)
\(_{64}\)Gd\(^{3+}\) - [Xe] 4f\(^7\) 5d\(^0\) 6s\(^0\)
\(_{63}\)Eu\(^{3+}\) - [Xe] 4f\(^6\) 6s\(^0\)
\(_{65}\)Tb\(^{3+}\) - [Xe] 4f\(^8\) 6s\(^0\)
\(_{62}\)Sm\(^{2+}\) - [Xe] 4f\(^6\) 6s\(^0\)
Step 2: Identify the ions with 4f\(^7\) configuration.
From the electronic configurations, we can see that Eu\(^{2+}\) and Gd\(^{3+}\) have 4f\(^7\) configurations.
Step 3: Select the correct option.
Therefore, the correct answer is (A) and (B) only.
Step 1 — Recall the general electronic configuration of lanthanoids:
The general configuration of lanthanoids is: \[ [\text{Xe}]\,4f^{1-14}\,5d^{0-1}\,6s^2 \]
Step 2 — Determine the \(4f\) configuration for each ion:
The ions with \(4f^7\) configuration are Eu\(^{2+}\) and Gd\(^{3+}\).
✅ (A) and (B) only
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 