Rutherford's research was primarily involved with: electron distribution defining the components of nuclei using electromagnetic energy

Answer is: defining the components of nuclei.

Rutherford theorized that atoms have their charge concentrated in a very small nucleus.

This was famous Rutherford's Gold Foil Experiment: he bombarded thin foil of gold with positive alpha particles (helium atom particles, consist of two protons and two neutrons).  

Rutherford observed the deflection of alpha particles on the photographic film and notice that most of alpha particles passed straight through foil.

That is different from Plum Pudding model, because it shows that most of the atom is empty space.

Rutherford conducted research that led to the first splitting of the atom in a nuclear reaction.

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all eukaryotic cell have mitochondria : )