What has research determined about the orbit of an electron around a nucleus?

electrons orbit and remain with in specific energy rings.
electrons orbit the nucleus in circular motions exactly as shown on the classic bohr model.
each sub-level electron type has a unique path where it will likely be found.
electrons orbit in exact energy levels.

Each sub-level electron type has a unique path where it will likely be found.

Explanation:

The quantum atomic model is the actual model of an atom. Electrons are present in certain regions called as orbitals. Each orbitals corresponds to some sub levels of energy. These are identified with letters s,p,d and f.

Each orbitals have different shapes like s orbitals are spherical, p orbitals have dumbbell shape etc.

The orbit of an electron around a nucleus is like unique path where it will likely to found. So, the correct option is (c).

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y