Step 1: Understanding the Concept:
The development of a proton gradient ($\Delta$pH) across the thylakoid membrane is essential for ATP synthesis via chemiosmosis.
The objective is to create a high concentration of protons ($H^{+}$) in the thylakoid lumen (acidic) and a low concentration in the stroma (basic).
Key Formula or Approach:
The gradient is developed through three main actions:
1. Adding protons to the lumen.
2. Removing protons from the stroma.
Step 2: Detailed Explanation:
Let's analyze the statements:
$\bullet$ Statement i (Correct): Plastoquinone (PQ) is a mobile electron carrier. It picks up $H^{+}$ from the stroma and, upon transferring electrons to the cytochrome $b_{6}f$ complex, releases those protons into the lumen.
$\bullet$ Statement ii (Correct): Protons are consumed in the stroma when NADP$^{+}$ is reduced to NADPH by NADP reductase. This lowers the stromal $H^{+}$ concentration.
$\bullet$ Statement iii (Incorrect): ATP synthase does not release protons into the lumen; instead, it provides a channel for protons to flow out of the lumen into the stroma, which dissipates the gradient.
$\bullet$ Statement iv (Correct): The photolysis of water (\( 2H_{2}O \rightarrow O_{2} + 4H^{+} + 4e^{-} \)) occurs on the inner side of the thylakoid membrane, releasing protons directly into the lumen.
Step 3: Final Answer:
The correct processes are i, ii, and iv.
This matches option (A).