Concept:
Electron pair accepting ability corresponds to Lewis acidity. In group 13 trichlorides, Lewis acidity depends on:
• Size of central atom
• Back bonding (p$\pi$–p$\pi$ overlap)
• Availability of vacant orbital
Step 1: Understand BCl$_3$.
Boron is very small → effective p$\pi$–p$\pi$ back bonding between B and Cl reduces electron deficiency.
However, due to very small size, B still remains highly electron deficient.
Step 2: Understand AlCl$_3$ and GaCl$_3$.
Down the group:
• Atomic size increases
• Back bonding decreases
• But availability of orbitals and shielding increases
Step 3: Key comparison logic.
Even though back bonding reduces in AlCl$_3$, its larger size reduces its tendency to accept electrons compared to BCl$_3$.
For GaCl$_3$:
• Even larger size
• Poor overlap → weaker Lewis acidity
Step 4: Final order.
\[
GaCl_3 < AlCl_3 < BCl_3
\]
Step 5: Answer.
\[
\boxed{(A)}
\]