Step 1: Recall the Calvin cycle mechanism.
The Calvin cycle is the main carbon fixation pathway in C\(_3\) plants.
It consists of three phases: Carbon fixation, Reduction, and Regeneration of RuBP.
Step 2: Energy requirement for one CO\(_2\) fixation.
To fix 1 molecule of CO\(_2\):
3 ATP are used (2 for regeneration of RuBP, 1 in reduction phase)
2 NADPH are used (during the reduction of 3-phosphoglycerate to G3P)
Step 3: Glucose synthesis requires 6 CO\(_2\).
To make one glucose molecule:
6 CO\(_2\) molecules are required
Therefore, energy requirement: \[ 6 \times 3 = 18 \text{ ATP}, \quad 6 \times 2 = 12 \text{ NADPH} \]
Step 4: Verify with the options.
Only option (2) gives the correct numbers: 18 ATP and 12 NADPH.