Final answer:
The name of the photoprotein found in both plants and animals, which responds to blue light and helps entrain circadian rhythms, is cryptochrome. Option 1) is correct answer.
Step-by-step explanation:
The photoprotein found in plants that responds to blue light and in animals helps entrain circadian rhythms is known as cryptochrome, option 1). Cryptochromes are blue-light absorbing photoreceptors that contain a flavin-based chromophore. In plants, cryptochromes are crucial for setting the circadian rhythms, interfacing with the plant's 24-hour activity cycle using blue light cues. Although phytchromes also interact with circadian rhythmic phenomena, it's cryptochromes that are specifically known to respond to blue light and have a role in both plants and animals for entraining circadian rhythms.