Consider the following orders:
(1) `H_(2)SO_(4) gt H_(2)SO_(3):`boiling point
(2) `H_(2)O gt HF:` Extent of H-bond
(3) `H_(2)O lt H_(2)O_(2)`: Strength off H-bond.

Answer

To analyze the given orders, we will evaluate each statement step by step.

### Step 1: Analyzing the boiling point of H₂SO₄ and H₂SO₃
1. **Molecular Formula of H₂SO₄**: Contains 2 Hydrogen (H), 1 Sulfur (S), and 4 Oxygen (O) atoms.
2. **Molecular Formula of H₂SO₃**: Contains 2 Hydrogen (H), 1 Sulfur (S), and 3 Oxygen (O) atoms.
3. **Molar Mass Calculation**:
- Molar mass of H₂SO₄ = (2 × 1) + (1 × 32) + (4 × 16) = 98 g/mol
- Molar mass of H₂SO₃ = (2 × 1) + (1 × 32) + (3 × 16) = 82 g/mol
4. **Conclusion**: Since H₂SO₄ has a greater molar mass than H₂SO₃, it has a higher boiling point. Thus, the order is:
- **H₂SO₄ > H₂SO₃** (True)

### Step 2: Analyzing the extent of hydrogen bonding in H₂O and HF
1. **Hydrogen Bonding in H₂O**:
- Water (H₂O) has two hydrogen atoms that can form hydrogen bonds with other water molecules.
- Each water molecule can form up to 4 hydrogen bonds (2 from H and 2 lone pairs on O).
2. **Hydrogen Bonding in HF**:
- HF has one hydrogen atom that can form a hydrogen bond with another HF molecule.
- Each HF molecule can form only 1 hydrogen bond.
3. **Conclusion**: Since water can form more hydrogen bonds than HF, the extent of hydrogen bonding is:
- **H₂O > HF** (True)

### Step 3: Analyzing the strength of hydrogen bonds in H₂O and H₂O₂
1. **Hydrogen Bonding in H₂O**:
- Water has a bent structure with a significant partial negative charge on oxygen and partial positive charges on hydrogens.
- This leads to strong hydrogen bonding due to the high electronegativity of oxygen.
2. **Hydrogen Bonding in H₂O₂**:
- Hydrogen peroxide (H₂O₂) has a different structure, where the hydrogen bonds are influenced by the presence of an additional oxygen atom.
- The presence of two -OH groups in H₂O₂ results in weaker hydrogen bonds compared to H₂O.
3. **Conclusion**: The strength of hydrogen bonds in water is greater than in hydrogen peroxide:
- **H₂O > H₂O₂** (False)

### Final Conclusion
- The correct orders are:
1. **H₂SO₄ > H₂SO₃** (True)
2. **H₂O > HF** (True)
3. **H₂O < H₂O₂** (False)

Thus, the correct statements are the first two, while the third statement is incorrect.