Step 1: Compare with known bond lengths:
Carbon-carbon bond lengths are 154 pm (single), 134 pm (double) and 120 pm (triple). Each extra pi bond shortens the bond.
Step 2: Judge each statement:
A pi bond has sideways overlap of p orbitals, which is weaker than head-on sigma overlap. It forms only after the sigma bond is in place. Both these facts agree with (A), (B) and (C).
Statement (D) says the pi bond increases the bond length, which is the opposite of what we see in the data above. So (D) is the false one.
Final Answer:
The pi bond shortens the bond, so (D) is not true.
\[ \boxed{\text{(D)}} \]