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2. A hydrogen atom consists of a fixed nucleus with charge q = 1.6x10^-19 coulombs and...

2. A hydrogen atom consists of a fixed nucleus with charge q = 1.6x10^-19 coulombs and mass M = 1.67x10^-27kg , around which a charge electron moves e=1.6x10^-19 coulombs and mass m = 9.1x10^-31 kg in a circular orbit of classical radius ao = 5.11x10^-11 m.

(a) Find the orbital velocity v of the electron and compare it with the velocity of light.

(b) Determine the total energy of the electron in this orbit in units of electron volts (eV), where 1 eV = 1.6x10^-19 joule.

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