1. Recall the condition for hydrogen bonding

Hydrogen bonding generally occurs when hydrogen is covalently bonded to a highly electronegative atom such as $\mathrm{F, O, N}$, and this hydrogen interacts with a lone pair on another electronegative atom.

So statement A is correct.

2. Check statement B: Intermolecular H-bonding in $o$-nitrophenol

In $o$-nitrophenol, the $-OH$ group and the $-NO_2$ group are adjacent, so hydrogen bonding occurs within the same molecule:

Hence, saying intermolecular H-bonding is present is incorrect.

So statement B is false.

3. Check statement C: Intramolecular H-bonding in $HF$

$HF$ is a small molecule and shows intermolecular hydrogen bonding between different $HF$ molecules, forming chains/associations.

There is no scope for intramolecular hydrogen bonding in a single $HF$ molecule.

So statement C is false.

4. Check statement D: Magnitude of H-bonding depends on physical state

Hydrogen bonding is affected by molecular arrangement and intermolecular distance, which vary with physical state (solid, liquid, gas). For example, hydrogen bonding is usually strongest/most extensive in condensed phases and much less in gaseous state.

So statement D is correct.

5. Check statement E: H-bonding has powerful effect on structure and properties

This is true. Hydrogen bonding strongly affects:

• boiling point,
• melting point,
• solubility,
• viscosity,
• structure of water, ice, proteins, DNA, etc.

So statement E is correct.

6. Final evaluation of statements

• $A$ : True
• $B$ : False
• $C$ : False
• $D$ : True
• $E$ : True

Thus the correct set is:

This corresponds to Option C.

7. Comparison with stored correct answer

Stored correct answer: C

Derived answer: C

They match.