Which is the correct reasoning for why a gamma ray telescope located in Antarctica that is to be used to look for evidence of black holes in the centers of galaxies would not get funded?

Well, the options are not given in the questions. But the correct option is:

"Gamma rays do not completely penetrate earth atmosphere."

Explanation:

Most of the gamma rays coming from the stars and sun can not penetrate the earth's atmosphere because atmosphere is as thick to the gamma rays as a 12 foot thick plate of aluminium. They rather absorb in the atmosphere and knock out electrons by reacting with the atoms and produce ions and electrons.  These secondary ions and electrons then came to earth during rain fall. Due to this reason gamma ray telescope was not get funded for the study of black holes.

Option C = Gamma rays don't completely penetrate Earth's atmosphere.

Explanation:

A telescope is a scientific and engineering instrument or apparatus which has the characteristics of making small objects to turn to big objects when been viewed with the telescope. Like the one used by a federal body known as the National Aeronautics and Space Administration(NASA), the gamma ray telescope is use in the detection of radiation.

Another term we are going to check in this question is the Gamma rays. Gamma rays is an Electromagnetic radiation which has high energy and they also short wavelength.

A gamma ray telescope located in Antarctica that is to be used to look for evidence of black holes in the centers of galaxies would not get funded because of option "c" which says that Gamma rays don't completely penetrate Earth's atmosphere.

your answer is, orbit around the nucleus