Step 1: Understand photosynthesis light reactions.
Photosynthesis occurs in two main phases:
\[
\text{Light reaction} \quad \text{and} \quad \text{Dark reaction}
\]
Light reactions take place in the thylakoid membranes of chloroplasts.
They involve the conversion of light energy into chemical energy.
Step 2: Understand NADP reduction.
NADP acts as an electron acceptor in photosynthesis.
It gets reduced to NADPH$_2$ by accepting electrons and hydrogen ions.
This reduced form is used in the Calvin cycle for carbohydrate synthesis.
Step 3: Identify where reduction occurs.
In non-cyclic photophosphorylation, electrons move from Photosystem II to Photosystem I and finally to NADP.
During this electron transport chain, NADP is reduced to NADPH$_2$.
Step 4: Why other options are incorrect.
Dark reaction does not involve light-driven electron transport or NADP reduction.
Cyclic photophosphorylation produces only ATP and does not reduce NADP.
Glycolysis is a respiratory pathway and unrelated to photosynthesis.
Step 5: Final conclusion.
Thus, NADP is converted into NADPH$_2$ during
\[
\boxed{\text{Non-cyclic photophosphorylation}}
\]