In a simplistic model of the hydrogen atom, the electron orbits the proton in a circle...
In a simplistic model of the hydrogen atom, the electron orbits the proton in a circle of radius 53 pm. What is the orbital period of the electron, in seconds, if the force responsible for the proton-electron attraction is electric?
Homework Answers
m = mass of electron
v = speed of electron = 2*pi*r/T
e = charge = 1.6*10^-19
r = radius
electric force Fe = k*e^2/r^2
centripetal force Fc = m*v^2/r
Fe = Fc
m*v^2/r = k*e^2/r^2
m*v^2 = k*e^2/r
m*4*pi^2*r^2/T^2 = k*e^2/r
9.11*10^-31*4*pi^2*(53*10^-12)^2/T^2 = (9*10^9*(1.6*10^-19)^2)/(53*10^-12)
T = 1.52*10^-16 s
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