In the Bohr model of the hydrogen atom, a single electron revolves around a single proton in a circle of radius r. Assume that the proton remains at rest. A) By equating the electric force to the electron mass times its acceleration, derive an expression for the electron's speed. Express your answer in terms of electron's charge e, its mass m and orbit radius r. Express your answer in terms of the given quantities and appropriate constants.
B) Obtain an expression for the electron's kinetic energy. Express your answer in terms of the given quantities and appropriate constants.
C) Show that the electron's kinetic energy is just half that of the electric potential energy using your words. (I have no idea on this one, I assume it helps to answer B)
D) Obtain an expression for the total energy. Express your answer in terms of the given quantities and appropriate constants.
E) Calculate the total energy using r=5.29×10−11m. Give your answer in joules.
F) Give the answer of part (d) in eV.