Step 1: Check statement (A).
Boron trichloride is:
\[
BCl_3
\]
It exists as a monomer because boron is small and back bonding can stabilize the molecule.
Aluminium chloride:
\[
AlCl_3
\]
can exist as a dimer:
\[
Al_2Cl_6
\]
due to electron deficiency and bridging chlorine atoms.
So statement (A) is correct.
Step 2: Check statement (B).
Catenation means the ability of an element to form bonds with itself.
Carbon has the maximum catenation tendency because:
• C--C bond is strong.
• Carbon has small atomic size.
• Carbon forms stable chains and rings.
In Group 14, catenation decreases down the group.
So:
\[
C >> Si > Ge = Sn
\]
is acceptable.
Thus, statement (B) is correct.
Step 3: Check statement (C).
Oxygen commonly shows oxidation state:
\[
-2.
\]
But it does not show only \(-2\) oxidation state.
For example:
\[
\ce{H2O2}
\]
has oxygen in oxidation state:
\[
-1.
\]
In superoxides, oxygen shows:
\[
-\frac{1}{2}.
\]
In \(\ce{OF2}\), oxygen shows:
\[
+2.
\]
Therefore, statement (C) is incorrect.
Step 4: Check statement (D).
Carbon can form \(p\pi-p\pi\) multiple bonds with itself.
Examples are:
\[
\ce{C=C}
\]
and:
\[
\ce{C#C}.
\]
So statement (D) is correct.
Hence, the incorrect statement is:
\[
\text{Oxygen exhibits only }-2\text{ oxidation state.}
\]