Step 1: Dipole moment of H\textsubscript{2O (Water)}
H\textsubscript{2}O has a bent shape with a high difference in electronegativity between O and H strong net dipole.
\[
\mu_{\text{H}_2\text{O}} \approx 1.85\ \text{D}
\]
Step 2: Dipole moment of CHCl\textsubscript{3 (Chloroform)}
Dipole contributions of Cl and H partially cancel each other lower net dipole moment.
\[
\mu_{\text{CHCl}_3} \approx 1.01\ \text{D}
\]
Step 3: Dipole moment of NH\textsubscript{3 (Ammonia)}
NH\textsubscript{3} has a trigonal pyramidal structure with a lone pair, resulting in a moderate dipole.
\[
\mu_{\text{NH}_3} \approx 1.47\ \text{D}
\]
Step 4: Final order
\[
\mu_{\text{CHCl}_3}<\mu_{\text{NH}_3}<\mu_{\text{H}_2\text{O}} \Rightarrow B<C<A
\]