1.

In a hydrogen atom, the electron and proton are bound at a distanceof about 0.53 Å:(a) Estimate the potential energy of the system in eV, takingthe zero of the potential energy at infinite separation of theelectron from proton.(b) What is the minimum work required to free the electron,given that its kinetic energy in the orbit is half the magnitude ofpotential energy obtained in (a)?(c) What are the answers to (a) and (b) above if the zero ofpotential energy is taken at 1.06 Å separation?

Answer»


In a hydrogen atom, the electron and proton are bound at a distance
of about 0.53 Å:




(a) Estimate the potential energy of the system in eV, taking
the zero of the potential energy at infinite separation of the
electron from proton.



(b) What is the minimum work required to free the electron,
given that its kinetic energy in the orbit is half the magnitude of
potential energy obtained in (a)?



(c) What are the answers to (a) and (b) above if the zero of
potential energy is taken at 1.06 Å separation?



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