`S_(1) :` Silver iodide is fairly soluble in hypo solution.
`S_(2) :` Heavy metal chloride like `AgCl,HgCl_(2)` etc. also respond to Chromyl chloride test.
`S_(3) :` Bromine reacts with `KI` liberating violet vapours of iodine.
`S_(4) :` Diphenylamine reagent test is also given by nitrites chlorates, bromates, iodates, etc. in addition to `NO_(3)^(-)`

Options

A. `T T T F`
B. `T F T T`
C. `T T F F `
D. `F F T T `

Explanation

To analyze the statements provided in the question, we will evaluate each statement one by one to determine whether they are true or false.

### Step-by-Step Solution:

**Statement S1:** Silver iodide is fairly soluble in hypo solution.

1. **Understanding the context:** Silver iodide (AgI) is a silver halide. Generally, silver halides are known to be insoluble in water.
2. **Hypo solution:** Hypo solution refers to sodium thiosulfate (Na2S2O3), which is commonly used in photography to dissolve silver halides.
3. **Conclusion:** Silver iodide is indeed fairly soluble in hypo solution, making this statement **True**.

**Statement S2:** Heavy metal chlorides like AgCl, HgCl2, etc. also respond to the Chromyl chloride test.

1. **Chromyl chloride test:** This test is used to identify chloride ions. It involves the reaction of potassium dichromate (K2Cr2O7) with hydrochloric acid (HCl) to produce chromyl chloride (CrO2Cl2), which gives red fumes.
2. **Heavy metal chlorides:** AgCl and HgCl2 are heavy metal chlorides. However, they do not release sufficient chloride ions in solution due to their insolubility.
3. **Conclusion:** Therefore, heavy metal chlorides do not respond to the Chromyl chloride test, making this statement **False**.

**Statement S3:** Bromine reacts with KI liberating violet vapors of iodine.

1. **Reaction of bromine with KI:** When bromine (Br2) reacts with potassium iodide (KI), it oxidizes iodide ions (I-) to iodine (I2).
2. **Color of iodine:** Iodine in its molecular form (I2) has a characteristic violet color when vaporized.
3. **Conclusion:** Thus, bromine does liberate violet vapors of iodine when it reacts with KI, making this statement **True**.

**Statement S4:** Diphenylamine reagent test is also given by nitrites, chlorates, bromates, iodates, etc. in addition to NO3^(-).

1. **Diphenylamine test:** This test is used to detect nitrate ions (NO3^-). When diphenylamine reacts with nitrates, it produces a blue or red color.
2. **Other ions:** It is known that nitrites (NO2^-), chlorates (ClO3^-), bromates (BrO3^-), and iodates (IO3^-) can also give a positive test with diphenylamine.
3. **Conclusion:** Therefore, this statement is also **True**.

### Final Evaluation of Statements:
- S1: True
- S2: False
- S3: True
- S4: True

### Summary:
The correct order of the statements is: **True, False, True, True**.

### Answer:
The correct option is **B**.

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