In which of the following is oxygen $NOT$ produced during photosynthesis?

Select the correct option:
$(1)$ Julius von Sachs / $T$. $W$. Engelmann proved with evidence that glucose is produced when plants grow.
$(2)$ In $PS-II$,maximum light absorption occurs at a wavelength of $680 \, nm / 800 \, nm$.

Select the incorrect statement.

Which of the following evidence indicates that the oxygen released during photosynthesis is derived from water?

Find the incorrect statement$(s)$ about photosynthesis from the following:
$A$. The water-splitting complex is associated with $PS-I$.
$B$. $C_4$ plants use the $C_3$ pathway of $CO_2$ fixation as the main biosynthetic pathway.
$C$. In $C_4$ plants, photorespiration does not occur.
$D$. $C_3$ plants exhibit 'Kranz' anatomy.
$E$. $ATP$ synthesis in chloroplast occurs through chemiosmosis.

Plants in which the first product of $CO_{2}$ fixation is $C_{3}$ acid,i.e.,the ...$A$... pathway,and those in which the first product was $C_{4}$ acid $(OAA)$,i.e.,the ...$B$... pathway. Complete the given statement by filling appropriate options in the given blanks.