Step 1: Understanding the Concept:
Dipole moment depends on the electronegativity difference between the bonded atoms and the distance between them.
Step 2: Key Formula or Approach:
Dipole moment ($\mu$) = charge ($q$) $\times$ distance ($d$).
For hydrogen halides, $q$ depends on the electronegativity difference.
Step 3: Detailed Explanation:
H$_2$ is non-polar, so $\mu = 0$.
For HX (where X is a halogen), the electronegativity decreases in the order: $\text{F}>\text{Cl}>\text{Br}>\text{I}$.
The electronegativity difference ($\Delta EN$) is highest for HF.
Greater electronegativity difference results in greater partial charges, and thus a higher dipole moment.
Even though bond length increases down the group, the magnitude of charge dominates the trend in this case.
Step 4: Final Answer:
HF has the highest dipole moment.