Physics equations/18-Electric charge and field/A:ElectricFieldGravityCompare

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This is a good warmup activity before a lab:

Consider the electric and gravitational fields for the electron in the hydrogen atom at Earth's surface

, where
Calculate the ratio of gravity to electrical forces for a proton and an electron separated by distance equal to the Bohr radius, , with the electron mass , and the proton mass . The ratio F/FG is about 2x1039, a large large number.
  1. Perform this calculation.
  2. What does this say about the importance of Earth's gravity in calculating electron energy levels?