Select the correct statement(s):

Options

A. `Ag_(2)S_(2)O_(3)` appear as white precipitate when `Na_(2)S_(2)O_(3)` reacts with `AgNO_(3)`
B. `Ag_(2)S_(2)O_(3)` is unstable turming black standing due to formation of `Ag_(2)S`
C. `S_(2)O_(3)^(2-)` can form soluble complax `[Ag(S_(2)O_(3))_(2)]^(3-)` with `Ag^(o+)`
D. `Na_(2)S_(2)O_(3)` is used in photography.

Answer

To solve the question of selecting the correct statements regarding the reactions of silver sulfate thiosulfate and sodium thiosulfate with silver nitrate, we will analyze each statement step by step.

### Step-by-Step Solution:

1. **Statement A Analysis**:
- The statement claims that silver sulfate thiosulfate appears as a white precipitate when sodium thiosulfate reacts with silver nitrate.
- **Reaction**: When sodium thiosulfate (Na2S2O3) reacts with silver nitrate (AgNO3), it forms silver thiosulfate (Ag2S2O3), which is indeed a white precipitate.
- **Conclusion**: Statement A is correct.

2. **Statement B Analysis**:
- The statement asserts that AgS2O3 is unstable and turns black due to the formation of silver sulfide.
- **Observation**: Silver thiosulfate (Ag2S2O3) does undergo a color change over time, transitioning from white to yellow, then orange, brown, and finally black due to the formation of silver sulfide (Ag2S).
- **Conclusion**: Statement B is correct.

3. **Statement C Analysis**:
- This statement mentions that if sodium thiosulfate is taken in excess, a soluble complex AgS2O3^2- is formed.
- **Chemical Behavior**: When excess sodium thiosulfate is added, it indeed forms a soluble complex ion, which is Ag(S2O3)2^3-.
- **Conclusion**: Statement C is correct.

4. **Statement D Analysis**:
- The statement indicates that this reaction is widely used in non-digital photography or analog photography.
- **Usage**: Sodium thiosulfate (commonly known as hypo) is indeed used in photography as a fixing agent to remove unreacted silver halides from photographic films.
- **Conclusion**: Statement D is correct.

### Final Conclusion:
All statements A, B, C, and D are correct.