The correct answer is option 'c) PS I'. Phycobilins are photosynthetic pigments that are found in cyanobacteria and some types of algae. They are not associated with PS I, which is a photosystem found in plants and algae.

Here is a detailed explanation:

1. Photosynthetic Pigments:
Photosynthetic pigments are molecules that absorb light energy and are essential for the process of photosynthesis. They are responsible for capturing light energy and transferring it to the reaction centers where it is converted into chemical energy.

2. Phycobilins:
Phycobilins are a group of photosynthetic pigments that are found in cyanobacteria (also known as blue-green algae) and some types of algae. They are water-soluble pigments that are attached to proteins to form complexes called phycobiliproteins.

3. Function of Phycobilins:
Phycobilins play a crucial role in the light-harvesting process of photosynthesis. They absorb light energy in the blue and red regions of the spectrum, which complements the absorption spectrum of chlorophyll. This allows cyanobacteria and algae to efficiently capture light energy in environments where chlorophyll alone may not be sufficient.

4. Association with Photosystems:
In photosynthesis, there are two main photosystems: Photosystem I (PS I) and Photosystem II (PS II). Photosystems are large protein complexes that contain chlorophyll and other accessory pigments.

- PS II: Phycobilins are not associated with Photosystem II (PS II). PS II mainly contains chlorophyll a and other accessory pigments such as chlorophyll b and carotenoids.

- Cyanobacteria: Phycobilins are found in cyanobacteria. These pigments are attached to phycobiliproteins in cyanobacteria, serving as light-harvesting complexes.

- PS I: Phycobilins are also not associated with Photosystem I (PS I), which is the other major photosystem involved in photosynthesis. PS I mainly contains chlorophyll a and other accessory pigments such as chlorophyll b and carotenoids.

Therefore, the correct answer is option 'c) PS I', as phycobilins are not associated with PS I. They are primarily found in cyanobacteria and some types of algae, where they play a crucial role in light absorption and energy transfer during photosynthesis.

All the above