Which of the following statements is/are correct?

Options

A. Nitroprusside ion is `[Fe(CN)_5NO]^(2-)`
B. Nitroprusside ion is `[Fe(CN)_5NOS)^(2-)`
C. Prussian blue and Turnbull's blue, respectively, are `Fe_4[Fe(CN)_6]_3` and`Fe_3[Fe(CN)_6]_2`.
D. Prussian blue and Turnbulls's blue, respectively, are `Fe_3[Fe(CN)_6]_2` and `Fe_4[Fe(CN)_6]_3`.

Explanation

To determine which statements are correct regarding nitroprusside ion and related compounds, we will analyze each statement step by step.

### Step-by-Step Solution:

1. **Evaluate the First Statement**:
- The statement claims that nitroprusside ion is represented as FeCN5NO2-.
- This is correct. The nitroprusside ion indeed has the formula Fe(CN)5(NO)2-.

2. **Evaluate the Second Statement**:
- The statement claims that nitroprusside ion is FeCN5NOS2-.
- This is incorrect. The correct formula for nitroprusside does not include the S2- component.

3. **Evaluate the Third Statement**:
- The statement claims that Persian blue and Turnbull blue are represented as Fe4[Fe(CN)6]3 and Fe3[Fe(CN)6]2 respectively.
- This is correct. Persian blue is indeed Fe4[Fe(CN)6]3 and Turnbull blue is Fe3[Fe(CN)6]2.

4. **Evaluate the Fourth Statement**:
- The statement claims that Persian blue and Turnbull blue are represented as Fe3[Fe(CN)6]2 and Fe4[Fe(CN)6]3 respectively.
- This is incorrect. The roles of Persian blue and Turnbull blue are swapped in this statement.

### Conclusion:
Based on the evaluations:
- The **first statement** is **correct**.
- The **second statement** is **incorrect**.
- The **third statement** is **correct**.
- The **fourth statement** is **incorrect**.

Thus, the correct statements are the **first and third**.

### Final Answer:
The correct statements are:
1. The first statement is correct.
2. The second statement is incorrect.
3. The third statement is correct.
4. The fourth statement is incorrect.