Final answer:
The incorrect statement is A) The photograph will have far better angular resolution than you can see with your eye. Angular resolution is determined by the telescope, not the camera, while other advantages of photography include capturing faint objects, higher photon efficiency of detectors, and providing a permanent record.
Step-by-step explanation:
The statement that is not an advantage of taking a photograph through a telescope, as compared to just looking at the object through the telescope, is: A) The photograph will have far better angular resolution than you can see with your eye. When taking photographs through telescopes, the angular resolution is primarily limited by the telescope's specifications and atmospheric conditions, not by the camera attached to it. Both the eye and the camera will see the same angular resolution that the telescope delivers.
On the other hand, long-exposure photography is a significant advantage (B) because it allows the detection of very faint objects by accumulating light over time. Electronic detectors like CCDs (C) have higher photon capture efficiency compared to the human eye, making them more sensitive. Additionally, a photograph provides a more reliable and permanent record (D) than a drawing or visual memory could.