The question asks for the increasing order of boiling points of four compounds, but the actual identities/structures of compounds I, II, III, and IV are missing from the prompt.

Without knowing what compounds I–IV are, the boiling-point order cannot be derived, because boiling point depends on structural features such as:

1. Molecular mass
2. Branching
3. Polarity
4. Hydrogen bonding
5. Intermolecular forces

So, a step-by-step chemical comparison is not possible from the information provided.

What can be concluded from the given data?

The stored correct answer is C, which corresponds to:

$I < IV < III < II$

However, since the compounds themselves are not shown, this cannot be independently verified.

Final conclusion

Because the structures/names of compounds I, II, III, and IV are absent, the problem is incomplete. I therefore cannot genuinely derive the order from first principles.

If you provide the image or the names/structures of compounds I–IV, I can solve it fully and verify the answer rigorously.