Step 1: Understanding the Concept
A racemic mixture contains equal amounts of the d- and l-enantiomers.
Step 2: Check the statements
(A) Correct: it is an equimolar mixture of enantiomers.
(B) Correct: enantiomers have the same physical properties such as refractive index.
(D) Correct: the equal and opposite rotations cancel, so the mixture is optically inactive.
Step 3: Find the wrong one
Statement (C), that a racemic mixture is optically active, contradicts statement (D). It is the incorrect one.
Final Answer:
The incorrect statement is that a racemic mixture is optically active.
\[ \boxed{\text{(C) }\text{It is optically active.}} \]