An alkene $(A)$ $C_{16}H_{16}$ on ozonolysis gives only one product $(B)$ $C_8H_8O$. $(B)$ can also be obtained by the hydrolysis of the product obtained from the reaction between cyanobenzene and $CH_3MgBr$. $(A)$ shows geometrical isomerism and decolourises $Br_2$ water. $(B)$ on treatment with $SeO_2$ produces $(C)$. Which statement is not correct about $(A)$?

• A
  $A$ is optically inactive
• B
  On catalytic hydrogenation,the 'trans' form of $A$ produces a racemic mixture
• C
  $A$ can be prepared by the Wittig reaction on acetophenone with $Ph_3P=C(CH_3)Ph$
• D
  On treatment with peracid followed by hydrolysis,the 'trans' form of $A$ produces a racemic mixture