Four statements for Cr and Mn are given below:
(i) `Cr^(2+)` and `Mn^(3+)` have the same electronic configuration.
(ii) `Cr^(2+)` is a reducing agent while `Mn^(3+)` is an oxidising agent.
(iii) `Cr^(3+)` is an oxidizing agent while `Mn^(3+)` is a reducing agent.
(iv). both Cr and Mn are oxidizing agents.
The correct statemetns are

Options

A. `i`,iii,iv
B. `i`,ii
C. `i`,ii,iv
D. `i`,iv

Answer

To solve the question regarding the statements about chromium (Cr) and manganese (Mn), we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Analyzing Statement (i)**:
- The electronic configuration of chromium (Cr) in its elemental form is `[Ar] 3d^5 4s^1`.
- When Cr is in the +2 oxidation state (Cr²⁺), it loses two electrons, resulting in the configuration `3d^4`.
- For manganese (Mn), the electronic configuration is `3d^5 4s^2`.
- In the +3 oxidation state (Mn³⁺), it loses three electrons, resulting in the configuration `3d^4`.
- **Conclusion**: Both Cr²⁺ and Mn³⁺ have the same electronic configuration of `3d^4`.
- **Statement (i) is correct.**

2. **Analyzing Statement (ii)**:
- Cr²⁺ is known to act as a reducing agent. This means it can donate electrons and is oxidized to Cr³⁺.
- Mn³⁺ is known to act as an oxidizing agent. This means it can accept electrons and is reduced to Mn²⁺.
- **Conclusion**: Cr²⁺ is indeed a reducing agent, and Mn³⁺ is an oxidizing agent.
- **Statement (ii) is correct.**

3. **Analyzing Statement (iii)**:
- This statement claims that Cr³⁺ is an oxidizing agent while Mn³⁺ is a reducing agent.
- However, Cr³⁺ can act as an oxidizing agent, but Mn³⁺ is primarily known as an oxidizing agent, not a reducing agent.
- **Conclusion**: This statement is incorrect.
- **Statement (iii) is incorrect.**

4. **Analyzing Statement (iv)**:
- This statement claims that both Cr and Mn are oxidizing agents.
- While Cr³⁺ can act as an oxidizing agent, Cr²⁺ is a reducing agent. Mn³⁺ is an oxidizing agent, but not all oxidation states of Mn are oxidizing agents.
- **Conclusion**: This statement is also incorrect.
- **Statement (iv) is incorrect.**

### Final Conclusion:
The correct statements are:
- **Statement (i)**: Cr²⁺ and Mn³⁺ have the same electronic configuration (Correct).
- **Statement (ii)**: Cr²⁺ is a reducing agent while Mn³⁺ is an oxidizing agent (Correct).

Thus, the correct statements are **1 and 2**.