Correct order of BP is :-

Options

A. `H_(2)gtH_(2)O_(2)gtD_(2)OgtH_(2)OgtD_(2)`
B. `H_(2)O_(2)gtH_(2)gtD_(2)OgtH_(2)OgtD_(2)`
C. `H_(2)O_(2)gtD_(2)OgtH_(2)OgtD_(2)gtH_(2)`
D. `H_(2)O_(2)gtD_(2)OgtH_(2)gtH_(2)gtD_(2)`

Answer

To determine the correct order of boiling points (BP) for the given compounds, we will analyze their molecular weights and how they relate to boiling points. The boiling point generally increases with increasing molecular weight due to stronger van der Waals forces and other intermolecular interactions.

### Step-by-Step Solution:

1. **Identify the Compounds**: The compounds we need to analyze are:
- H₂ (Hydrogen)
- D₂ (Deuterium)
- H₂O (Water)
- D₂O (Heavy Water)
- H₂O₂ (Hydrogen Peroxide)

2. **Determine Molecular Weights**:
- For H₂ (Hydrogen):
- Molecular weight = 2 g/mol
- For D₂ (Deuterium):
- Molecular weight = 4 g/mol (since deuterium is an isotope of hydrogen with double the mass)
- For H₂O (Water):
- Molecular weight = 18 g/mol (H: 1 g/mol × 2 + O: 16 g/mol)
- For D₂O (Heavy Water):
- Molecular weight = 20 g/mol (D: 2 g/mol × 2 + O: 16 g/mol)
- For H₂O₂ (Hydrogen Peroxide):
- Molecular weight = 34 g/mol (H: 1 g/mol × 2 + O: 16 g/mol × 2)

3. **List Molecular Weights in Order**:
- H₂: 2 g/mol
- D₂: 4 g/mol
- H₂O: 18 g/mol
- D₂O: 20 g/mol
- H₂O₂: 34 g/mol

4. **Order of Boiling Points**:
- The boiling point increases with increasing molecular weight. Therefore, we can arrange the compounds based on their molecular weights:
- H₂ (2 g/mol) < D₂ (4 g/mol) < H₂O (18 g/mol) < D₂O (20 g/mol) < H₂O₂ (34 g/mol)

5. **Final Order of Boiling Points**:
- The correct order of boiling points from lowest to highest is:
- H₂ < D₂ < H₂O < D₂O < H₂O₂

### Conclusion:
The correct order of boiling points is:
**H₂ < D₂ < H₂O < D₂O < H₂O₂**