$\text{Explanation}$
Hydrogen bonding (H-bonding) is a special type of dipole-dipole attraction that occurs when a hydrogen atom is covalently bonded to a small, highly electronegative atom, typically Fluorine ($\text{F}$), Oxygen ($\text{O}$), or Nitrogen ($\text{N}$).
The strength of the hydrogen bond is primarily determined by two factors:
$\text{1. High Electronegativity of the Donor Atom}$
The H-bond forms due to the strong polarity of the $\text{X}-\text{H}$ bond. A greater difference in electronegativity ($\Delta\text{EN}$) between Hydrogen ($\text{H}$) and the electronegative atom ($\text{X}$) leads to a greater partial positive charge ($\delta^{+}$) on the hydrogen atom and a greater partial negative charge ($\delta^{-}$) on the $\text{X}$ atom.
This increased charge separation results in a stronger electrostatic attraction (the hydrogen bond) between the $\delta^{+}\text{H}$ and the lone pair of the neighboring molecule's $\delta^{-}\text{X}$ atom.
Comparing the halogens:
$$\text{Electronegativity Order: } \text{F} > \text{Cl} > \text{Br} > \text{I}$$
Since Fluorine ($\text{F}$) is the most electronegative element among the halogens (and the entire periodic table), the $\text{H}-\text{F}$ bond is the most polar ($\Delta\text{EN}$ is highest).
Consequently, the partial charges ($\delta^{+}\text{H}$ and $\delta^{-}\text{F}$) are maximized, leading to the strongest intermolecular hydrogen bond in liquid $\text{HF}$.
$\text{2. Small Size of the Donor Atom}$
Fluorine is the smallest atom among the halogens ($\text{F}, \text{Cl}, \text{Br}, \text{I}$).
A smaller size concentrates the negative charge ($\delta^{-}$) into a smaller volume, increasing the charge density and allowing the approaching $\delta^{+}\text{H}$ atom to get closer. This leads to a shorter and stronger hydrogen bond.
Due to the combined effect of the highest electronegativity and smallest atomic size, $\text{HF}$ forms the strongest hydrogen bonds among the hydrogen halides ($\text{HF}, \text{HCl}, \text{HBr}, \text{HI}$).
$$\text{Strength Order: } \mathbf{\text{H}-\text{F} \cdots \text{H}-\text{F}} > \text{H}-\text{O} \cdots \text{H}-\text{O} > \text{H}-\text{N} \cdots \text{H}-\text{N} > \text{H}-\text{Cl} \cdots \text{H}-\text{Cl } (\text{negligible})$$
Hydrogen bonding is not typically considered significant in $\text{HCl}$, $\text{HBr}$, and $\text{HI}$ because $\text{Cl}$, $\text{Br}$, and $\text{I}$ are not sufficiently electronegative, and their larger size reduces the charge density compared to $\text{F}$.
Identify the correct orders against the property mentioned:
A. H$_2$O $>$ NH$_3$ $>$ CHCl$_3$ - dipole moment
B. XeF$_4$ $>$ XeO$_3$ $>$ XeF$_2$ - number of lone pairs on central atom
C. O–H $>$ C–H $>$ N–O - bond length
D. N$_2$>O$_2$>H$_2$ - bond enthalpy
Choose the correct answer from the options given below:
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The number of chiral carbon centers in the following molecule is ............... 
A tube fitted with a semipermeable membrane is dipped into 0.001 M NaCl solution at 300 K as shown in the figure. Assume density of the solvent and solution are the same. At equilibrium, the height of the liquid column \( h \) (in cm) is ......... 
An electron at rest is accelerated through 10 kV potential. The de Broglie wavelength (in A) of the electron is .............