Daniel, Scopes have the outer shield connector attached to the BNC conector. The outer connector of the BNC is common with the chassis of the scope. So the alligator clip on the scope is the same as chassis ground on the scope. In the USA one of the line wires is hot and the other is neutral. In most cases the neutral and ground are the same, but not always. In some
220 volt countries both L1 and L2 are hot to ground. It would serve you to consider the clip on the scope a chassis and earth ground. Anywhere you touch it is like touching ground there.Tom