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I finished the following problem and have gotten all the right answers, but I want to make sure my reasoning is correct.

In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius 0.53 x 10^-10 m.

(a) What is the electric potential at the electron's orbit due to the proton?

27 volts using v = k (q/r) -- this one is simple, you just use the radius, and the charge, and k. OK.

(b) What is the kinetic energy of the electron?

Change in potential energy is the opposite of change in kinetic energy. Potential energy is QV, or -2.2 x 10^-18.

(c) What is the total energy of the electron in orbit?

-2.2 x 10^-18. Same as above because when it's in the orbit all of its energy is kinetic energy.

(d) What is the ionization energy -- that is, the energy required to remove the electron from the atom and take it to r = infinity, at rest?

2.2 x 10^-18. Same but opposite because you are pulling the electron away from a charge to which it is attracted. This requires a force equal and opposite to its kinetic energy in that position.

Do these answers seem complete?

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# Homework Help: Electric potential, etc.

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